Reference symbols and characteristic Wyckoff positions

Fischer, W.; Koch, E.

doi:10.1107/97809553602060000531

International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

pdf | chapter contents | chapter index | related articles

International Tables for Crystallography (2006). Vol. A. ch. 14.2, p. 848

Section 14.2.1. Reference symbols and characteristic Wyckoff positions

W. Fischer^a and E. Koch^a ^*

^a Institut für Mineralogie, Petrologie und Kristallographie, Philipps-Universität, D-35032 Marburg, Germany
Correspondence e-mail: [email protected]

14.2.1. Reference symbols and characteristic Wyckoff positions

| top | pdf |

If a lattice complex can be generated in different space-group types, one of them stands out because its corresponding Wyckoff positions show the highest site symmetry. This is called the characteristic space-group type of the lattice complex. The space groups of all the other types in which the lattice complex may be generated are subgroups of the space groups of the characteristic type.

Different lattice complexes may have the same characteristic space-group type but in that case they differ in the oriented site symmetry of their Wyckoff positions within the space groups of that type.

The characteristic space-group type and the corresponding oriented site symmetry express the common symmetry properties of all point configurations of a lattice complex. Therefore, they can be used to identify each lattice complex. Within the reference symbols of lattice complexes, however, instead of the site symmetry the Wyckoff letter of one of the Wyckoff positions with that site symmetry is given, as was first done by Hermann (1935). This Wyckoff position is called the characteristic Wyckoff position of the lattice complex.

Examples

(1) $[Pm\bar{3}m]$ is the characteristic space-group type for the lattice complex of all cubic primitive point lattices. The Wyckoff positions with the highest possible site symmetry $[m\bar{3}m]$ are la 000 and 1b $[{\textstyle{1 \over 2} {1 \over 2} {1 \over 2}}]$ , from which 1a has been chosen as the characteristic position. Thus, the lattice complex is designated $[Pm\bar{3}m\ a]$ .
(2) $[Pm\bar{3}m]$ is also characteristic for another lattice complex that corresponds to Wyckoff position 8g xxx .3m. Thus, the reference symbol for this lattice complex is $[Pm\bar{3}m\ g]$ . Each of its point configurations may be derived by replacing each point of a cubic primitive lattice by eight points arranged at the corners of a cube.

In Tables 14.2.3.1 and 14.2.3.2, the reference symbols denote the lattice complex of each Wyckoff position. The reference symbols of characteristic Wyckoff positions are marked by asterisks (e.g. 2e in [P2/c] ). If in a particular space group several Wyckoff positions belong to the same Wyckoff set (cf. Koch & Fischer, 1975), the reference symbol is given only once (e.g. Wyckoff positions 4l to 4o in [P4/mmm] ). To enable this, the usual sequence of Wyckoff positions had to be changed in a few cases (e.g. in $[P4_{2}/mcm]$ ). For Wyckoff positions assigned to the same lattice complex but belonging to different Wyckoff sets, the reference symbol is repeated. In [I4/m] , for example, Wyckoff positions 4c and 4d are both assigned to the lattice complex $[P4/mmm\ a]$ . They do not belong, however, to the same Wyckoff set because the site-symmetry groups [2/m] .. of 4c and $[\bar{4}]$ .. of 4d are different.

Table 14.2.3.1| top | pdf |
Plane groups: assignment of Wyckoff positions to Wyckoff sets and to lattice complexes

Wyckoff positions of the same Wyckoff set can be recognized by their consecutive listing without repetition of the reference symbol. Characteristic Wyckoff sets are marked by asterisks.

1 p1
1	a	1		p2 a	P[xy]

2 p2
1	a	2	*	$[p2\ a]$	P
1	b				$[0{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 2}}0\ P]$
1	d				$[{\textstyle{1 \over 2}{1 \over 2}}\ P]$
2	e	1	*	$[p2\ e]$	P2xy

3 pm
1	a	.m.		p2mm a	P[y]
1	b				$[{\textstyle{1 \over 2}}0\ P\hbox{[}y\hbox{]}]$
2	c	1		p2mm e	P2x[y]

4 pg
2	a	1		p2mg c	$[2..\ P_{b}C1x\hbox{[}y\hbox{]}]$

5 cm
2	a	.m.		c2mm a	C[y]
4	b	1		c2mm d	C2x[y]

6 p2mm
1	a	2mm	*	$[p2mm\ a]$	P
1	b				$[0{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 2}}0\ P]$
1	d				$[{\textstyle{1 \over 2}{1 \over 2}}\ P]$
2	e	..m	*	$[p2mm\ e]$	P2x
2	f				$[0{\textstyle{1 \over 2}}\ P2x]$
2	g	.m.			P2y
2	h				$[{\textstyle{1 \over 2}}0\ P2y]$
4	i	1	*	$[p2mm\ i]$	P2x2y

7 p2mg
2	a	2..		p2mm a	$[P_{a}]$
2	b				$[0{\textstyle{1 \over 2}}\ P_{a}]$
2	c	.m.	*	$[p2mg\ c]$	$[{\textstyle{1 \over 4}}0\ 2..\ P_{a}C1y]$
4	d	1	*	$[p2mg\ d]$	$[.m.\ P_{a}2xy]$

8 p2gg
2	a	2..		c2mm a	C
2	b				$[{\textstyle{1 \over 2}}0\ C]$
4	c	1	*	$[p2gg\ c]$	.g. C2xy

9 c2mm
2	a	2mm	*	$[c2mm\ a]$	C
2	b				$[0{\textstyle{1 \over 2}}\ C]$
4	c	2..		p2mm a	$[{\textstyle{1 \over 4}{1 \over 4}}\ P_{ab}]$
4	d	..m	*	$[c2mm\ d]$	C2x
4	e	.m.			C2y
8	f	1	*	$[c2mm\ f]$	C2x2y

10 p4
1	a	4..		p4mm a	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}}\ P]$
2	c	2..		p4mm a	$[0{\textstyle{1 \over 2}}\ C]$
4	d	1	*	$[p4\ d]$	P4xy

11 p4mm
1	a	4mm	*	$[p4mm\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}}\ P]$
2	c	2mm.		p4mm a	$[0{\textstyle{1 \over 2}}\ C]$
4	d	.m.	*	$[p4mm\ d]$	P4x
4	e				$[{\textstyle{1 \over 2}{1 \over 2}}\ P4x]$
4	f	..m	*	$[p4mm\ f]$	P4xx
8	g	1	*	$[p4mm\ g]$	P4x2y

12 p4gm
2	a	4..		p4mm a	C
2	b	2.mm		p4mm a	$[0{\textstyle{1 \over 2}}\ C]$
4	c	..m	*	$[p4gm\ c]$	$[0{\textstyle{1 \over 2}}\ .g.\ C2xx]$
8	d	1	*	$[p4gm\ d]$	..m C4xy

13 p3
1	a	3..		p6mm a	P
1	b				$[{\textstyle{1 \over 3}{2 \over 3}}\ P]$
1	c				$[{\textstyle{2 \over 3}{1 \over 3}}\ P]$
3	d	1	*	$[p3\ d]$	P3xy

14 p3m1
1	a	3m.		p6mm a	P
1	b				$[{\textstyle{1 \over 3}{2 \over 3}}\ P]$
1	c				$[{\textstyle{2 \over 3}{1 \over 3}}\ P]$
3	d	.m.	*	$[p3m1\ d]$	$[P3x\bar{x}]$
6	e	1	*	$[p3m1\ e]$	$[P3x\bar{x}2y]$

15 p31m
1	a	3.m		p6mm a	P
2	b	3..		p6mm b	G
3	c	..m	*	$[p31m\ c]$	P3x
6	d	1	*	$[p31m\ d]$	P3x2y

16 p6
1	a	6..		p6mm a	P
2	b	3..		p6mm b	G
3	c	2..		p6mm c	N
6	d	1	*	$[p6\ d]$	P6xy

17 p6mm
1	a	6mm	*	$[p6mm\ a]$	P
2	b	3m.	*	$[p6mm\ b]$	G
3	c	2mm	*	$[p6mm\ c]$	N
6	d	..m	*	$[p6mm\ d]$	P6x
6	e	.m.	*	$[p6mm\ e]$	$[P6x\bar{x}]$
12	f	1	*	$[p6mm\ f]$	P6x2y

Table 14.2.3.2| top | pdf |
Space groups: assignment of Wyckoff positions to Wyckoff sets and to lattice complexes

Wyckoff positions of the same Wyckoff set can be recognized by their consecutive listing without repetition of the reference symbol. Characteristic Wyckoff sets are marked by asterisks.

1 P1
1	a	1		$[P\bar{1}\ a]$	P[xyz]

2 $[{\bi P}\bar{\bf 1}]$
1	a	$[\bar{1}]$		$[ P\bar{1}\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
1	c				$[0{\textstyle{1 \over 2}}0\ P]$
1	d				$[{\textstyle{1 \over 2}}00\ P]$
1	e				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	f				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P]$
1	g				$[0{\textstyle{1 \over 2}{1 \over 2}}\ P]$
1	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	i	1	^*	$[P\bar{1}\ i]$	P2xyz

3 P2
1	a	2		$[P2/m\ a]$	P[y]
1	b				$[00{\textstyle{1 \over 2}}\ P\hbox{[}y\hbox{]}]$
1	c				$[{\textstyle{1 \over 2}}00\ P\hbox{[}y\hbox{]}]$
1	d				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P\hbox{[}y\hbox{]}]$
2	e	1		$[P2/m\ m]$	P2xz[y]

4 $[{\bi P}{\bf 2}_{\bf 1}]$
2	a	1		$[P2_{1}/m\ e]$	$[2_{1}\ P_{b}ACI1xz\hbox{[}y\hbox{]}]$

5 C2
2	a	2		$[C2/m\ a]$	C[y]
2	b				$[00{\textstyle{1 \over 2}}\ C\hbox{[}y\hbox{]}]$
4	c	1		$[C2/m\ i]$	C2xz[y]

6 Pm
1	a	m		$[P2/m\ a]$	P[xz]
1	b				$[0{\textstyle{1 \over 2}}0\ P{\hbox{[}xz\hbox{]}}]$
2	c	1		$[P2/m\ i]$	P2y[xz]

7 Pc
2	a	1		$[P2/c\ e]$	$[c\ P_{c}A1y\hbox{[}xz\hbox{]}]$

8 Cm
2	a	m		$[C2/m\ a]$	C[xz]
4	b	1		$[C2/m\ g]$	C2y[xz]

9 Cc
4	a	1		$[C2/c\ e]$	$[\bar{1}\ C_{c}F1y\hbox{[}xz\hbox{]}]$

10 $[{\bi P}{\bf 2}/{\bi m}]$
1			^*	$[ P2/m\ a]$	P
1	b				$[0{\textstyle{1 \over 2}}0\ P]$
1	c				$[00{\textstyle{1 \over 2}}\ P]$
1	d				$[{\textstyle{1 \over 2}}00\ P]$
1	e				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	f				$[0{\textstyle{1 \over 2}{1 \over 2}}\ P]$
1	g				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P]$
1	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	i	2	^*	$[ P2/m\ i]$	P2y
2	j				$[{\textstyle{1 \over 2}}00\ P2y]$
2	k				$[00{\textstyle{1 \over 2}}\ P2y]$
2	l				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P2y]$
2	m	m	^*	$[ P2/m\ m]$	P2xz
2	n				$[0{\textstyle{1 \over 2}}0\ P2xz]$
4	o	1	^*	$[P2/m\ o]$	P2xz2y

11 $[{\bi P}{\bf 2}_{\bf 1}/{\bi m}]$
2	a	$[\bar{1}]$		$[P2/m\ a]$	$[P_{b}]$
2	b				$[{\textstyle{1 \over 2}}00\ P_{b}]$
2	c				$[00{\textstyle{1 \over 2}}\ P_{b}]$
2	d				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P_{b}]$
2	e	m	^*	$[ P2_{1}/m\ e]$	$[0{1 \over 4}0\ 2_{1}P_{b}ACI1xz]$
4	f	1	^*	$[ P2_{1}/m\ f]$	$[m\ P_{b}2xyz]$

12 $[{\bi C}{\bf 2}/{\bi m}]$
2	a		^*	$[ C2/m\ a]$	C
2	b				$[0{\textstyle{1 \over 2}}0\ C]$
2	c				$[00{\textstyle{1 \over 2}}\ C]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ C]$
4	e	$[\bar{1}]$		$[P2/m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}]$
4	f				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ P_{ab}]$
4	g	2	^*	$[ C2/m\ g]$	C2y
4	h				$[00{\textstyle{1 \over 2}}\ C2y]$
4	i	m	^*	$[C2/m\ i]$	C2xz
8	j	1	^*	$[C2/m\ j]$	C2xz2y

13 $[{\bi P}{\bf 2}/{\bi c}]$
2	a	$[\bar{1}]$		$[P2/m\ a]$	$[P_{c}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
2	c				$[0{\textstyle{1 \over 2}}0\ P_{c}]$
2	d				$[{\textstyle{1 \over 2}}00\ P_{c}]$
2	e	2	^*	$[ P2/c\ e]$	$[00{\textstyle{1 \over 4}}\ c\ P_{c}A1y]$
2	f				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 4}}\ c\ P_{c}A1y]$
4	g	1	^*	$[ P2/c\ g]$	$[2\ P_{c}2xyz]$

14 $[{\bi P}{\bf 2}_{\bf 1}/{\bi c}]$
2	a	$[\bar{1}]$		$[C2/m\ a]$	A
2	b				$[{\textstyle{1 \over 2}}00\ A]$
2	c				$[00{\textstyle{1 \over 2}}\ A]$
2	d				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ A]$
4	e	1	^*	$[ P2_{1}/c\ e]$	c A2xyz

15 $[{\bi C}{\bf 2}/{\bi c}]$
4	a	$[\bar{1}]$		$[C2/m\ a]$	$[C_{c}]$
4	b				$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	c				$[{\textstyle{1 \over 4}{1 \over 4}}0\ F]$
4	d				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ F]$
4	e	2	^*	$[C2/c\ e]$	$[00{\textstyle{1 \over 4}}\ \bar{1}\ C_{c}F1y]$
8	f	1	^*	$[ C2/c\ f]$	$[2_{1}\ C_{c}2xyz]$

16 P222
1	a	222		Pmmm a	P
1	b				$[{\textstyle{1 \over 2}}00\ P]$
1	c				$[0{\textstyle{1 \over 2}}0\ P]$
1	d				$[00{\textstyle{1 \over 2}}\ P]$
1	e				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	f				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P]$
1	g				$[0{\textstyle{1 \over 2}{1 \over 2}}\ P]$
1	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	i	2..		Pmmm i	P2x
2	j				$[00{\textstyle{1 \over 2}}\ P2x]$
2	k				$[0{\textstyle{1 \over 2}}0\ P2x]$
2	l				$[0{\textstyle{1 \over 2}{1 \over 2}}\ P2x]$
2	m	.2.			P2y
2	n				$[00{\textstyle{1 \over 2}}\ P2y]$
2	o				$[{\textstyle{1 \over 2}}00\ P2y]$
2	p				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P2y]$
2	q	..2			P2z
2	r				$[{\textstyle{1 \over 2}}00\ P2z]$
2	s				$[0{\textstyle{1 \over 2}}0\ P2z]$
2	t				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P2z]$
4	u	1	^*	$[ P222\ u]$	P2x2yz

17 $[{\bi P}{\bf 222}_{\bf 1}]$
2	a	2..		Pmma e	$[.2.\ P_{c}B1x]$
2	b				$[0{\textstyle{1 \over 2}}0\ .2.\ P_{c}B1x]$
2	c	.2.			$[00{\textstyle{1 \over 4}}\ 2..\ P_{c}A1y]$
2	d				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 4}}\ 2..\ P_{c}A1y]$
4	e	1	^*	$[ P222_{1}\ e]$	$[.2.\ P_{c}B1x2yz]$

18	$[ {\bi P}{\bf 2}_{\bf 1}{\bf 2}_{\bf 1}{\bf 2}]$
2	a	..2		Pmmn a	$[2_{1}..\ CI1z]$
2	b				$[0{\textstyle{1 \over 2}}0\ 2_{1}..\ CI1z]$
4	c	1	^*	$[P2_{1}2_{1}2\ c]$	$[2_{1}..\ CI1z2xy]$

19 $[{\bi P}{\bf 2}_{\bf 1}{\bf 2}_{\bf 1}{\bf 2}_{\bf 1}]$
4	a	1	^*	$[P2_{1}2_{1}2_{1}\ a]$	$[2_{1}2_{1}.\ FA_{a}B_{b}C_{c}I_{a}I_{b}I_{c}1xyz]$

20 $[{\bi C}{\bf 222}_{\bf 1}]$
4	a	2..		Cmcm c	$[.2_{1}.\ C_{c}F1x]$
4	b	.2.			$[00{\textstyle{1 \over 4}}\ 2_{1}..\ C_{c}F1y]$
8	c	1	^*	$[ C222_{1}\ c]$	$[.2_{1}.\ C_{c}F1x2yz]$

21 C222
2	a	222		Cmmm a	C
2	b				$[0{\textstyle{1 \over 2}}0\ C]$
2	c				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ C]$
2	d				$[00{\textstyle{1 \over 2}}\ C]$
4	e	2..		Cmmm g	C2x
4	f				$[00{\textstyle{1 \over 2}}\ C2x]$
4	g	.2.			C2y
4	h				$[00{\textstyle{1 \over 2}}\ C2y]$
4	i	..2		Cmmm k	C2z
4	j				$[0{\textstyle{1 \over 2}}0\ C2z]$
4	k	..2		Cmme g	$[{\textstyle{1 \over 4}{1 \over 4}}0\ 2..\ P_{ab}F1z]$
8	l	1	^*	$[C222\ l]$	C2x2yz

22 F222
4	a	222		Fmmm a	F
4	b				$[00{\textstyle{1 \over 2}}\ F]$
4	c				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	d				$[{\textstyle{1 \over 4}{1 \over 4}{3 \over 4}}\ F]$
8	e	2..		Fmmm g	F2x
8	j				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F2x]$
8	f	.2.			F2y
8	i				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F2y]$
8	g	..2			F2z
8	h				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F2z]$
16	k	1	^*	$[ F222\ k]$	F2x2yz

23 I222
2	a	222		Immm a	I
2	b				$[{\textstyle{1 \over 2}}00\ I]$
2	c				$[00{\textstyle{1 \over 2}}\ I]$
2	d				$[0{\textstyle{1 \over 2}}0\ I]$
4	e	2..		Immm e	I2x
4	f				$[00{\textstyle{1 \over 2}}\ I2x]$
4	g	.2.			I2y
4	h				$[{\textstyle{1 \over 2}}00\ I2y]$
4	i	..2			I2z
4	j				$[0{\textstyle{1 \over 2}}0\ I2z]$
8	k	1	^*	$[ I222\ k]$	I2x2yz

24 $[{\bi I}{\bf 2}_{\bf 1}{\bf 2}_{\bf 1}{\bf 2}_{\bf 1}]$
4	a	2..		Imma e	$[{\textstyle{1 \over 4}}0{\textstyle{1 \over 4}}\ ..2\ C_{c}B_{b}1x]$
4	b	.2.			$[{\textstyle{1 \over 4}{1 \over 4}}0\ 2..\ A_{a}C_{c}1y]$
4	c	..2			$[0{\textstyle{1 \over 4}{1 \over 4}}\ .2.\ B_{b}A_{a}1z]$
8	d	1	^*	$[ I2_{1}2_{1}2_{1}\ d]$	$[{\textstyle{1 \over 4}}0{\textstyle{1 \over 4}}\ ..2\ C_{c}B_{b}1x2yz]$

25 *Pmm*2
1	a	mm2		Pmmm a	P[z]
1	b				$[0{\textstyle{1 \over 2}}0\ P\hbox{[}z\hbox{]}]$
1	c				$[{\textstyle{1 \over 2}}00\ P\hbox{[}z\hbox{]}]$
1	d				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P\hbox{[}z\hbox{]}]$
2	e	.m.		Pmmm i	P2x[z]
2	f				$[0{\textstyle{1 \over 2}}0\ P2x\hbox{[}z\hbox{]}]$
2	g	m..			P2y[z]
2	h				$[{\textstyle{1 \over 2}}00\ P2y\hbox{[}z\hbox{]}]$
4	i	1		Pmmm u	P2x2y[z]

26 $[{\bi P}{\bi m}{\bi c}{\bf 2}_{\bf 1}]$
2	a	m..		Pmma e	$[2..\ P_{c}A1y\hbox{[}z\hbox{]}]$
2	b				$[{\textstyle{1 \over 2}}00\ 2..\ P_{c}A1y\hbox{[}z\hbox{]}]$
4	c	1		Pmma k	$[2..\ P_{c}A1y2x\hbox{[}z\hbox{]}]$

27 *Pcc*2
2	a	..2		Pmmm a	$[P_{c}\hbox{[}z\hbox{]}]$
2	b				$[0{\textstyle{1 \over 2}}0\ P_{c}\hbox{[}z\hbox{]}]$
2	c				$[{\textstyle{1 \over 2}}00\ P_{c}\hbox{[}z\hbox{]}]$
2	d				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}\hbox{[}z\hbox{]}]$
4	e	1		Pccm q	$[2..\ P_{c}2xy\hbox{[}z\hbox{]}]$

28 *Pma*2
2	a	..2		Pmmm a	$[P_{a}\hbox{[}z\hbox{]}]$
2	b				$[0{\textstyle{1 \over 2}}0\ P_{a}\hbox{[}z\hbox{]}]$
2	c	m..		Pmma e	$[{\textstyle{1 \over 4}}00\ ..2\ P_{a}C1y\hbox{[}z\hbox{]}]$
4	d	1		Pmma i	$[m..\ P_{a}2xy\hbox{[}z\hbox{]}]$

29 $[{\bi P}{\bi c}{\bi a}{\bf 2}_{\bf 1}]$
4	a	1		Pbcm d	$[.2\bar{1}\ P_{ac}B_{a}C_{c}F1xy\hbox{[}z\hbox{]}]$

30 *Pnc*2
2	a	..2		Cmmm a	A[z]
2	b				$[{\textstyle{1 \over 2}}00\ A\hbox{[}z\hbox{]}]$
4	c	1		Pmna h	2.. A2xy[z]

31 $[{\bi P}{\bi m}{\bi n}{\bf 2}_{\bf 1}]$
2	a	m..		Pmmn a	$[..2_{1}\ BI1y\hbox{[}z\hbox{]}]$
4	b	1		Pmmn e	$[..2_{1}\ BI1y2x\hbox{[}z\hbox{]}]$

32 *Pba*2
2	a	..2		Cmmm a	C[z]
2	b				$[0{\textstyle{1 \over 2}}0\ C\hbox{[}z\hbox{]}]$
4	c	1		Pbam g	b.. C2xy[z]

33 $[{\bi P}{\bi n}{\bi a}{\bf 2}_{\bf 1}]$
4	a	1		Pnma c	$[\bar{1}2_{1}. \ C_{c}A_{a}FI_{a}1xy\hbox{[}z\hbox{]}]$

34 *Pnn*2
2	a	..2		Immm a	I[z]
2	b				$[0{\textstyle{1 \over 2}}0\ I\hbox{[}z\hbox{]}]$
4	c	1		Pnnm g	n.. I2xy[z]

35 *Cmm*2
2	a	mm2		Cmmm a	C[z]
2	b				$[0{\textstyle{1 \over 2}}0\ C\hbox{[}z\hbox{]}]$
4	c	..2		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}\hbox{[}z\hbox{]}]$
4	d	.m.		Cmmm g	C2x[z]
4	e	m..			C2y[z]
8	f	1		Cmmm p	C2x2y[z]

36 $[{\bi C}{\bi m}{\bi c}{\bf 2}_{\bf 1}]$
4	a	m..		Cmcm c	$[2_{1}..\ C_{c}F1y\hbox{[}z\hbox{]}]$
8	b	1		Cmcm g	$[2_{1}..\ C_{c}F1y2x\hbox{[}z\hbox{]}]$

37 *Ccc*2
4	a	..2		Cmmm a	$[C_{c}\hbox{[}z\hbox{]}]$
4	b				$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
4	c	..2		Fmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ F\hbox{[}z\hbox{]}]$
8	d	1		Cccm l	$[n..\ C_{c}2xy\hbox{[}z\hbox{]}]$

38 *Amm*2
2	a	mm2		Cmmm a	A[z]
2	b				$[{\textstyle{1 \over 2}}00\ A\hbox{[}z\hbox{]}]$
4	c	.m.		Cmmm k	A2x[z]
4	d	m..		Cmmm g	A2y[z]
4	e				$[{\textstyle{1 \over 2}}00\ A2y\hbox{[}z\hbox{]}]$
8	f	1		Cmmm n	A2x2y[z]

39 *Aem*2
4	a	..2		Pmmm a	$[P_{bc}\hbox{[}z\hbox{]}]$
4	b				$[{\textstyle{1 \over 2}}00\ P_{bc}\hbox{[}z\hbox{]}]$
4	c	.m.		Cmme g	$[0{\textstyle{1 \over 4}}0\ ..2\ P_{bc}F1x\hbox{[}z\hbox{]}]$
8	d	1		Cmme m	$[.m.\ P_{bc}2xy\hbox{[}z\hbox{]}]$

40 *Ama*2
4	a	..2		Cmmm a	$[A_{a}\hbox{[}z\hbox{]}]$
4	b	m..		Cmcm c	$[{\textstyle{1 \over 4}}00\ ..2_{1}\ A_{a}F1y\hbox{[}z\hbox{]}]$
8	c	1		Cmcm f	$[.n.\ A_{a}2xy\hbox{[}z\hbox{]}]$

41 *Aea*2
4	a	..2		Fmmm a	F[z]
8	b	1		Cmce f	.2. F2xy[z]

42 *Fmm*2
4	a	mm2		Fmmm a	F[z]
8	b	..2		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{2}\hbox{[}z\hbox{]}]$
8	c	m..		Fmmm g	F2y[z]
8	d	.m.			F2x[z]
16	e	1		Fmmm m	F2x2y[z]

43 *Fdd*2
8	a	..2		Fddd a	D[z]
16	b	1	^*	$[Fdd2\ b]$	d.. D2xy[z]

44 *Imm*2
2	a	mm2		Immm a	I[z]
2	b				$[0{\textstyle{1 \over 2}}0\ I\hbox{[}z\hbox{]}]$
4	c	.m.		Immm e	I2x[z]
4	d	m..			I2y[z]
8	e	1		Immm l	I2x2y[z]

45 *Iba*2
4	a	..2		Cmmm a	$[C_{c}\hbox{[}z\hbox{]}]$
4	b				$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
8	c	1		Ibam j	$[b..\ C_{c}2xy\hbox{[}z\hbox{]}]$

46 *Ima*2
4	a	..2		Cmmm a	$[A_{a}\hbox{[}z\hbox{]}]$
4	b	m..		Imma e	$[{\textstyle{1 \over 4}}00\ 2..\ A_{a}C_{c}1y\hbox{[}z\hbox{]}]$
8	c	1		Imma h	$[2..\ A_{a}2xy\hbox{[}z\hbox{]}]$

47 *Pmmm*
1	a	mmm	^*	$[ Pmmm\ a]$	P
1	b				$[{\textstyle{1 \over 2}}00\ P]$
1	c				$[00{\textstyle{1 \over 2}}\ P]$
1	d				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P]$
1	e				$[0{\textstyle{1 \over 2}}0\ P]$
1	f				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	g				$[0{\textstyle{1 \over 2}{1 \over 2}}\ P]$
1	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}]$
2	i	2mm	^*	$[ Pmmm\ i]$	P2x
2	j				$[00{\textstyle{1 \over 2}}\ P2x]$
2	k				$[0{\textstyle{1 \over 2}}0\ P2x]$
2	l				$[0{\textstyle{1 \over 2}{1 \over 2}}\ P2x]$
2	m	m2m			P2y
2	n				$[00{\textstyle{1 \over 2}}\ P2y]$
2	o				$[{\textstyle{1 \over 2}}00\ P2y]$
2	p				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ P2y]$
2	q	mm2			P2z
2	r				$[0{\textstyle{1 \over 2}}0\ P2z]$
2	s				$[{\textstyle{1 \over 2}}00\ P2z]$
2	t				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P2z]$
4	u	m..	^*	$[Pmmm\ u]$	P2y2z
4	v				$[{\textstyle{1 \over 2}}00\ P2y2z]$
4	w	.m.			P2x2z
4	x				$[0{\textstyle{1 \over 2}}0\ P2x2z]$
4	y	..m			P2x2y
4	z				$[00{\textstyle{1 \over 2}}\ P2x2y]$
8	α	1	^*	$[Pmmm\ \alpha]$	P2x2y2z

48 *Pnnn*
2	a	222		Immm a	I
2	b				$[{\textstyle{1 \over 2}}00\ I]$
2	c				$[00{\textstyle{1 \over 2}}\ I]$
2	d				$[0{\textstyle{1 \over 2}}0\ I]$
4	e	$[\bar{1}]$		Fmmm a	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	f				$[{\textstyle{3 \over 4}{3 \over 4}{3 \over 4}}\ F]$
4	g	2..		Immm e	I2x
4	h				$[00{\textstyle{1 \over 2}}\ I2x]$
4	i	.2.			I2y
4	j				$[{\textstyle{1 \over 2}}00\ I2y]$
4	k	..2			I2z
4	l				$[0{\textstyle{1 \over 2}}0\ I2z]$
8	m	1	^*	$[Pnnn\ m]$	n.. I2x2yz

49 *Pccm*
2	a			Pmmm a	$[P_{c}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
2	c				$[0{\textstyle{1 \over 2}}0\ P_{c}]$
2	d				$[{\textstyle{1 \over 2}}00\ P_{c}]$
2	e	222		Pmmm a	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	f				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 4}}\ P_{c}]$
2	g				$[0{\textstyle{1 \over 2}{1 \over 4}}\ P_{c}]$
2	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}]$
4	i	2..		Pmmm i	$[00{\textstyle{1 \over 4}}\ P_{c}2x]$
4	j				$[0{\textstyle{1 \over 2}{1 \over 4}}\ P_{c}2x]$
4	k	.2.			$[00{\textstyle{1 \over 4}}\ P_{c}2y]$
4	l				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 4}}\ P_{c}2y]$
4	m	..2		Pmmm i	$[P_{c}2z]$
4	n				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}2z]$
4	o				$[0{\textstyle{1 \over 2}}0\ P_{c}2z]$
4	p				$[{\textstyle{1 \over 2}}00\ P_{c}2z]$
4	q	..m	^*	$[ Pccm\ q]$	$[2..\ P_{c}2xy]$
8	r	1	^*	$[Pccm\ r]$	$[c..\ P_{c}2xy2z]$

50 *Pban*
2	a	222		Cmmm a	C
2	b				$[{\textstyle{1 \over 2}}00\ C]$
2	c				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ C]$
2	d				$[00{\textstyle{1 \over 2}}\ C]$
4	e	$[\bar{1}]$		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}]$
4	f				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ P_{ab}]$
4	g	2..		Cmmm g	C2x
4	h				$[00{\textstyle{1 \over 2}}\ C2x]$
4	i	.2.			C2y
4	j				$[00{\textstyle{1 \over 2}}\ C2y]$
4	k	..2		Cmmm k	C2z
4	l				$[0{\textstyle{1 \over 2}}0\ C2z]$
8	m	1	^*	$[Pban\ m]$	b.. C2x2yz

51 *Pmma*
2	a			Pmmm a	$[P_{a}]$
2	b				$[0{\textstyle{1 \over 2}}0\ P_{a}]$
2	c				$[00{\textstyle{1 \over 2}}\ P_{a}]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ P_{a}]$
2	e	mm2	^*	$[Pmma\ e]$	$[{\textstyle{1 \over 4}}00\ .2.\ P_{a}B1z]$
2	f				$[{\textstyle{1 \over 4}{1 \over 2}}0\ .2.\ P_{a}B1z]$
4	g	.2.		Pmmm i	$[P_{a}2y]$
4	h				$[00{\textstyle{1 \over 2}}\ P_{a}2y]$
4	i	.m.	^*	$[Pmma\ i]$	$[m..\ P_{a}2xz]$
4	j				$[0{\textstyle{1 \over 2}}0\ m..\ P_{a}2xz]$
4	k	m..	^*	$[Pmma\ k]$	$[{\textstyle{1 \over 4}}00\ .2.\ P_{a}B1z2y]$
8	l	1	^*	$[Pmma\ l]$	$[m..\ P_{a}2xz2y]$

52 *Pnna*
4	a	$[\bar{1}]$		Cmmm a	$[A_{a}]$
4	b				$[00{\textstyle{1 \over 2}}\ A_{a}]$
4	c	..2		Imma e	$[{\textstyle{1 \over 4}}0{\textstyle{1 \over 4}}\ .2.\ B_{b}A_{a}1z]$
4	d	2..		Cmcm c	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ ..2_{1}\ B_{b}F1x]$
8	e	1	^*	$[Pnna\ e]$	$[2.2\ A_{a}2xyz]$

53 *Pmna*
2	a			Cmmm a	B
2	b				$[{\textstyle{1 \over 2}}00\ B]$
2	c				$[{\textstyle{1 \over 2}{1 \over 2}}0\ B]$
2	d				$[0{\textstyle{1 \over 2}}0\ B]$
4	e	2..		Cmmm g	B2x
4	f				$[0{\textstyle{1 \over 2}}0\ B2x]$
4	g	.2.		Pmma e	$[{\textstyle{1 \over 4}}0{\textstyle{1 \over 4}}\ (2..\ P_{c}A1y)_{a}]$
4	h	m..	^*	$[Pmna\ h]$	.2. B2yz
8	i	1	^*	$[Pmna\ i]$	.2. B2yz2x

54 *Pcca*
4	a	$[\bar{1}]$		Pmmm a	$[P_{ac}]$
4	b				$[0{\textstyle{1 \over 2}}0\ P_{ac}]$
4	c	.2.		Cmme g	$[00{\textstyle{1 \over 4}}\ ..2\ P_{ac}F1y]$
4	d	..2		Pmma e	$[{\textstyle{1 \over 4}}00\ (.2. \ P_{a}B1z)_{c}]$
4	e				$[{\textstyle{1 \over 4}{1 \over 2}}0\ (.2.\ P_{a}B1z)_{c}]$
8	f	1	^*	$[Pcca\ f]$	$[.22\ P_{ac}2xyz]$

55 *Pbam*
2	a			Cmmm a	C
2	b				$[00{\textstyle{1 \over 2}}\ C]$
2	c				$[0{\textstyle{1 \over 2}}0\ C]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ C]$
4	e	..2		Cmmm k	C2z
4	f				$[0{\textstyle{1 \over 2}}0\ C2z]$
4	g	..m	^*	$[Pbam\ g]$	b.. C2xy
4	h				$[00{\textstyle{1 \over 2}}\ b..\ C2xy]$
8	i	1	^*	$[Pbam\ i]$	b.. C2xy2z

56 *Pccn*
4	a	$[\bar{1}]$		Fmmm a	F
4	b				$[00{\textstyle{1 \over 2}}\ F]$
4	c	..2		Pmmn a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ (2_{1}..\ CI1z)_{c}]$
4	d				$[{\textstyle{1 \over 4}{3 \over 4}}0\ (2_{1}..\ CI1z)_{c}]$
8	e	1	^*	$[Pccn\ e]$	c.2 F2xyz

57 *Pbcm*
4	a	$[\bar{1}]$		Pmmm a	$[P_{bc}]$
4	b				$[{\textstyle{1 \over 2}}00\ P_{bc}]$
4	c	2..		Pmma e	$[0{\textstyle{1 \over 4}}0\ (..2\ P_{b}C1x)_{c}]$
4	d	..m	^*	$[Pbcm\ d]$	$[00{\textstyle{1 \over 4}}\ 2.\bar{1}\ P_{bc}A_{b}C_{c}F1xy]$
8	e	1	^*	$[Pbcm\ e]$	$[2.m\ P_{bc}2xyz]$

58 *Pnnm*
2	a			Immm a	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
2	c				$[0{\textstyle{1 \over 2}}0\ I]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ I]$
4	e	..2		Immm e	I2z
4	f				$[0{\textstyle{1 \over 2}}0\ I2z]$
4	g	..m	^*	$[Pnnm\ g]$	n.. I2xy
8	h	1	^*	$[Pnnm\ h]$	n.. I2xy2z

59 *Pmmn*
2	a	mm2	^*	$[Pmmn\ a]$	$[2_{1}..\ CI1z]$
2	b				$[0{\textstyle{1 \over 2}}0\ 2_{1}..\ CI1z]$
4	c	$[\bar{1}]$		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}]$
4	d				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ P_{ab}]$
4	e	m..	^*	$[Pmmn\ e]$	$[2_{1}..\ CI1z2y]$
4	f	.m.			$[.2_{1}.\ CI1z2x]$
8	g	1	^*	$[Pmmn\ g]$	$[{\textstyle{1 \over 4}{1 \over 4}}0\ mm.\ P_{ab}2xyz]$

60 *Pbcn*
4	a	$[\bar{1}]$		Cmmm a	$[C_{c}]$
4	b				$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	c	.2.		Cmcm c	$[00{\textstyle{1 \over 4}}\ 2_{1}..\ C_{c}F1y]$
8	d	1	^*	$[Pbcn\ d]$	$[b2.\ C_{c}2xyz]$

61 *Pbca*
4	a	$[\bar{1}]$		Fmmm a	F
4	b				$[00{\textstyle{1 \over 2}}\ F]$
8	c	1	^*	$[Pbca\ c]$	bc. F2xyz

62 *Pnma*
4	a	$[\bar{1}]$		Cmmm a	$[B_{b}]$
4	b				$[00{\textstyle{1 \over 2}}\ B_{b}]$
4	c	.m.	^*	$[Pnma\ c]$	$[0{\textstyle{1 \over 4}}0\ \bar{1}. 2_{1}\ B_{b}A_{a}FI_{a}1xz]$
8	d	1	^*	$[Pnma\ d]$	$[.ma\ B_{b}2xyz]$

63 *Cmcm*
4	a			Cmmm a	$[C_{c}]$
4	b				$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	c	m2m	^*	$[Cmcm\ c]$	$[00{\textstyle{1 \over 4}}\ 2_{1}..\ C_{c}F1y]$
8	d	$[\bar{1}]$		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{2}]$
8	e	2..		Cmmm g	$[C_{c}2x]$
8	f	m..	^*	$[Cmcm\ f]$	$[.n.\ C_{c}2yz]$
8	g	..m	^*	$[Cmcm\ g]$	$[00{\textstyle{1 \over 4}}\ 2_{1}..\ C_{c}F1y2x]$
16	h	1	^*	$[Cmcm\ h]$	$[.n.\ C_{c}2yz2x]$

64 *Cmce*
4	a			Fmmm a	F
4	b				$[00{\textstyle{1 \over 2}}\ F]$
8	c	$[\bar{1}]$		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{2}]$
8	d	2..		Fmmm g	F2x
8	e	.2.		Pmma e	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ (2..\ P_{c}A1y)_{ab}]$
8	f	m..	^*	$[Cmce\ f]$	.2. F2yz
16	g	1	^*	$[Cmce\ g]$	.2. F2yz2x

65 *Cmmm*
2	a	mmm	^*	$[Cmmm\ a]$	C
2	b				$[{\textstyle{1 \over 2}}00\ C]$
2	c				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ C]$
2	d				$[00{\textstyle{1 \over 2}}\ C]$
4	e			Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}]$
4	f				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ P_{ab}]$
4	g	2mm	^*	$[Cmmm\ g]$	C2x
4	h				$[00{\textstyle{1 \over 2}}\ C2x]$
4	i	m2m			C2y
4	j				$[00{\textstyle{1 \over 2}}\ C2y]$
4	k	mm2	^*	$[Cmmm\ k]$	C2z
4	l				$[0{\textstyle{1 \over 2}}0\ C2z]$
8	m	..2		Pmmm i	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}2z]$
8	n	m..	^*	$[Cmmm\ n]$	C2y2z
8	o	.m.			C2x2z
8	p	..m	^*	$[Cmmm\ p]$	C2x2y
8	q				$[00{\textstyle{1 \over 2}}\ C2x2y]$
16	r	1	^*	$[Cmmm\ r]$	C2x2y2z

66 *Cccm*
4	a	222		Cmmm a	$[00{\textstyle{1 \over 4}}\ C_{c}]$
4	b				$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	c			Cmmm a	$[C_{c}]$
4	d				$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	e			Fmmm a	$[{\textstyle{1 \over 4}{1 \over 4}}0\ F]$
4	f				$[{\textstyle{1 \over 4}{3 \over 4}}0\ F]$
8	g	2..		Cmmm g	$[00{\textstyle{1 \over 4}}\ C_{c}2x]$
8	h	.2.			$[00{\textstyle{1 \over 4}}\ C_{c}2y]$
8	i	..2		Cmmm k	$[C_{c}2z]$
8	j				$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	k	..2		Fmmm g	$[{\textstyle{1 \over 4}{1 \over 4}}0\ F2z]$
8	l	..m	^*	$[Cccm\ l]$	$[c..\ C_{c}2xy]$
16	m	1	^*	$[Cccm\ m]$	$[c..\ C_{c}2xy2z]$

67 *Cmme*
4	a	222		Pmmm a	$[{\textstyle{1 \over 4}}00\ P_{ab}]$
4	b				$[{\textstyle{1 \over 4}}0{\textstyle{1 \over 2}}\ P_{ab}]$
4	c			Pmmm a	$[P_{ab}]$
4	d				$[00{\textstyle{1 \over 2}}\ P_{ab}]$
4	e				$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}]$
4	f				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ P_{ab}]$
4	g	mm2	^*	$[ Cmme\ g]$	$[0{\textstyle{1 \over 4}}0\ 2..\ P_{ab}F1z]$
8	h	2..		Pmmm i	$[P_{ab}2x]$
8	i				$[00{\textstyle{1 \over 2}}\ P_{ab}2x]$
8	j	.2.			$[{\textstyle{1 \over 4}}00\ P_{ab}2y]$
8	k				$[{\textstyle{1 \over 4}}0{\textstyle{1 \over 2}}\ P_{ab}2y]$
8	l	..2		Pmmm i	$[{\textstyle{1 \over 4}}00\ P_{ab}2z]$
8	m	m..	^*	$[Cmme\ m]$	$[.m.\ P_{ab}2yz]$
8	n	.m.			$[0{\textstyle{1 \over 4}}0\ m..\ P_{ab}2xz]$
16	o	1	^*	$[Cmme\ o]$	$[.m.\ P_{ab}2yz2x]$

68 *Ccce*
4	a	222		Fmmm a	F
4	b				$[00{\textstyle{1 \over 2}}\ F]$
8	c	$[\bar{1}]$		Pmmm a	$[{\textstyle{1 \over 4}}0{\textstyle{1 \over 4}}\ P_{2}]$
8	d				$[0{\textstyle{1 \over 4}{1 \over 4}}\ P_{2}]$
8	e	2..		Fmmm g	F2x
8	f	.2.			F2y
8	g	..2		Fmmm g	F2z
8	h	..2		Cmme g	$[{\textstyle{1 \over 4}{1 \over 4}}0\ (2..\ P_{ab}F1z)_{c}]$
16	i	1	^*	$[Ccce\ i]$	c.. F2x2yz

69 *Fmmm*
4	a	mmm	^*	$[Fmmm\ a]$	F
4	b				$[00{\textstyle{1 \over 2}}\ F]$
8	c			Pmmm a	$[0{\textstyle{1 \over 4}{1 \over 4}}\ P_{2}]$
8	d				$[{\textstyle{1 \over 4}}0{\textstyle{1 \over 4}}\ P_{2}]$
8	e				$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{2}]$
8	f	222		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	g	2mm	^*	$[Fmmm\ g]$	F2x
8	h	m2m			F2y
8	i	mm2			F2z
16	j	..2		Pmmm i	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}2z]$
16	k	.2.			$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}2y]$
16	l	2..			$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}2x]$
16	m	m..	^*	$[Fmmm\ m]$	F2y2z
16	n	.m.			F2x2z
16	o	..m			F2x2y
32	p	1	^*	$[Fmmm\ p]$	F2x2y2z

70 *Fddd*
8	a	222	^*	$[Fddd\ a]$	D
8	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ D]$
16	c	$[\bar{1}]$	^*	$[Fddd\ c]$	T
16	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ T]$
16	e	2..	^*	$[Fddd\ e]$	D2x
16	f	.2.			D2y
16	g	..2			D2z
32	h	1	^*	$[Fddd\ h]$	d.. D2x2yz

71 *Immm*
2	a	mmm	^*	$[Immm\ a]$	I
2	b				$[0{\textstyle{1 \over 2}{1 \over 2}}\ I]$
2	c				$[{\textstyle{1 \over 2}{1 \over 2}}0\ I]$
2	d				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ I]$
4	e	2mm	^*	$[Immm\ e]$	I2x
4	f				$[0{\textstyle{1 \over 2}}0\ I2x]$
4	g	m2m			I2y
4	h				$[00{\textstyle{1 \over 2}}\ I2y]$
4	i	mm2			I2z
4	j				$[{\textstyle{1 \over 2}}00\ I2z]$
8	k	$[\bar{1}]$		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	l	m..	^*	$[Immm\ l]$	I2y2z
8	m	.m.			I2x2z
8	n	..m			I2x2y
16	o	1	^*	$[Immm\ o]$	I2x2y2z

72 *Ibam*
4	a	222		Cmmm a	$[00{\textstyle{1 \over 4}}\ C_{c}]$
4	b				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 4}}\ C_{c}]$
4	c			Cmmm a	$[C_{c}]$
4	d				$[{\textstyle{1 \over 2}}00\ C_{c}]$
8	e	$[\bar{1}]$		Pmmm a	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	f	2..		Cmmm g	$[00{\textstyle{1 \over 4}}\ C_{c}2x]$
8	g	.2.			$[00{\textstyle{1 \over 4}}\ C_{c}2y]$
8	h	..2		Cmmm k	$[C_{c}2z]$
8	i				$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	j	..m	^*	$[Ibam\ j]$	$[c..\ C_{c}2xy]$
16	k	1	^*	$[Ibam\ k]$	$[c..\ C_{c}2xy2z]$

73 *Ibca*
8	a	$[\bar{1}]$		Pmmm a	$[P_{2}]$
8	b				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	c	2..		Cmme g	$[00{\textstyle{1 \over 4}}\ (.2.\ P_{bc}F1x)_{a}]$
8	d	.2.			$[{\textstyle{1 \over 4}}00\ (..2\ P_{ac}F1y)_{b}]$
8	e	..2			$[0{\textstyle{1 \over 4}}0\ (2..\ P_{ab}F1z)_{c}]$
16	f	1	^*	$[Ibca\ f]$	$[22.\ P_{2}2xyz]$

74 *Imma*
4	a			Cmmm a	$[B_{b}]$
4	b				$[00{\textstyle{1 \over 2}}\ B_{b}]$
4	c				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ A_{a}]$
4	d				$[{\textstyle{1 \over 4}{1 \over 4}{3 \over 4}}\ A_{a}]$
4	e	mm2	^*	$[Imma\ e]$	$[0{\textstyle{1 \over 4}}0\ .2.\ B_{b}A_{a}1z]$
8	f	2..		Cmmm g	$[B_{b}2x]$
8	g	.2.			$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ A_{a}2y]$
8	h	m..	^*	$[Imma\ h]$	$[.2.\ B_{b}2yz]$
8	i	.m.			$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ 2..\ A_{a}2xz]$
16	j	1	^*	$[Imma\ j]$	$[.2.\ B_{b}2yz2x]$

75 P4
1	a	4..		$[P4/mmm\ a]$	P[z]
1	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P\hbox{[}z\hbox{]}]$
2	c	2..		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C\hbox{[}z\hbox{]}]$
4	d	1		$[P4/m\ j]$	P4xy[z]

76 $[{\bi P}{\bf 4}_{\bf 1}]$
4	a	1	^*	$[P4_{3}\ a]$	$[4_{1}..\ P_{cc}{^{v}D}I_{c}1xy\hbox{[}z\hbox{]}]$

77 $[{\bi P}{\bf 4}_{\bf 2}]$
2	a	2..		$[P4/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}\hbox{[}z\hbox{]}]$
2	c	2..		$[I4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ I\hbox{[}z\hbox{]}]$
4	d	1		$[P4_{2}/m\ j]$	$[\bar{4}..\ P_{c}2xy\hbox{[}z\hbox{]}]$

78 $[{\bi P}{\bf 4}_{\bf 3}]$
4	a		^*	$[P4_{3}\ a]$	$[4_{3}..\ P_{cc}{^{v}D}I_{c}1xy\hbox{[}z\hbox{]}]$

79 I4
2	a	4..		$[I4/mmm\ a]$	I[z]
4	b	2..		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
8	c	1		$[I4/m\ h]$	I4xy[z]

80 $[{\bi I}{\bf 4}_{\bf 1}]$
4	a	2..		$[I4_{1}/amd\ a]$	$[^{v}D\hbox{[}z\hbox{]}]$
8	b	1	^*	$[I4_{1}\ b]$	$[4_{1}..\ ^{v}D2xy\hbox{[}z\hbox{]}]$

81 $[{\bi P}\bar{\bf 4}]$
1	a	$[\bar{4}..]$		$[P4/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	e	2..		$[P4/mmm\ g]$	P2z
2	f				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P2z]$
2	g	2..		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ ..2\ CI1z]$
4	h	1	^*	$[P\bar{4}\ h]$	P4xyz

82 $[{\bi I}\bar{\bf 4}]$
2	a	$[\bar{4}..]$		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
2	c				$[0{\textstyle{1 \over 2}{1 \over 4}}\ I]$
2	d				$[0{\textstyle{1 \over 2}{3 \over 4}}\ I]$
4	e	2..		$[I4/mmm\ e]$	I2z
4	f				$[0{\textstyle{1 \over 2}{1 \over 4}}\ I2z]$
8	g	1	^*	$[I\bar{4}\ g]$	I4xyz

83 $[{\bi P}{\bf 4}/{\bi m}]$
1	a			$[P4/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	e			$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C]$
2	f				$[0{\textstyle{1 \over 2}{1 \over 2}}\ C]$
2	g	4..		$[P4/mmm\ g]$	P2z
2	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P2z]$
4	i	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C2z]$
4	j	m..	^*	$[P4/m\ j]$	P4xy
4	k				$[00{\textstyle{1 \over 2}}\ P4xy]$
8	l	1	^*	$[P4/m\ l]$	P4xy2z

84 $[{\bi P}{\bf 4}_{\bf 2}/{\bi m}]$
2	a			$[P4/mmm\ a]$	$[P_{c}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
2	c			$[I4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ I]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ I]$
2	e	$[\bar{4}..]$		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	f				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}]$
4	g	2..		$[P4/mmm\ g]$	$[P_{c}2z]$
4	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}2z]$
4	i	2..		$[I4/mmm\ e]$	$[0{\textstyle{1 \over 2}}0\ I2z]$
4	j	m..	^*	$[P4_{2}/m\ j]$	$[\bar{4}..\ P_{c}2xy]$
8	k	1	^*	$[P4_{2}/m\ k]$	$[\bar{4}..\ P_{c}2xy2z]$

85 $[{\bi P}{\bf 4}/{\bi n}]$
2	a	$[\bar{4}..]$		$[P4/mmm\ a]$	C
2	b				$[00{\textstyle{1 \over 2}}\ C]$
2	c	4..		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ ..2\ CI1z]$
4	d	$[\bar{1}]$		$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}]$
4	e				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ P_{ab}]$
4	f	2..		$[P4/mmm\ g]$	C2z
8	g	1	^*	$[P4/n\ g]$	$[\bar{1}\ C4xyz]$

86 $[{\bi P}{\bf 4}_{\bf 2}/{\bi n}]$
2	a	$[\bar{4}..]$		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	$[\bar{1}]$		$[I4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	d				$[{\textstyle{1 \over 4}{1 \over 4}{3 \over 4}}\ F]$
4	e	2..		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ (..2 \ CI1z)_{c}]$
4	f	2..		$[I4/mmm\ e]$	I2z
8	g	1	^*	$[P4_{2}/n\ g]$	n.. I4xyz

87 $[{\bi I}{\bf 4}/{\bi m}]$
2	a			$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c			$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	$[\bar{4}..]$		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	e	4..		$[I4/mmm\ e]$	I2z
8	f	$[\bar{1}]$		$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	g	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	h	m..	^*	$[I4/m\ h]$	I4xy
16	i	1	^*	$[I4/m\ i]$	I4xy2z

88 $[{\bi I}{\bf 4}_{\bf 1}/{\bi a}]$
4	a	$[\bar{4}..]$		$[I4_{1}/amd\ a]$	$[^{v}D]$
4	b				$[00{\textstyle{1 \over 2}}\ ^{v}D]$
8	c	$[\bar{1}]$		$[I4_{1}/amd\ c]$	$[^{v}T]$
8	d				$[00{\textstyle{1 \over 2}}\ ^{v}T]$
8	e	2..		$[I4_{1}/amd\ e]$	$[^{v}D2z]$
16	f	1	^*	$[I4_{1}/a\ f]$	$[a..\ ^{v}D4xyz]$

89 P422
1	a	422		$[P4/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	e	222.		$[P4/mmm\ a]$	$[{\textstyle{1 \over 2}}00\ C]$
2	f				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ C]$
2	g	4..		$[P4/mmm\ g]$	P2z
2	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P2z]$
4	i	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C2z]$
4	j	..2		$[P4/mmm\ j]$	P4xx
4	k				$[00{\textstyle{1 \over 2}}\ P4xx]$
4	l	.2.		$[P4/mmm\ l]$	P4x
4	m				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P4x]$
4	n				$[00{\textstyle{1 \over 2}}\ P4x]$
4	o				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P4x]$
8	p	1	^*	$[P422\ p]$	P4x2yz

90 $[{\bi P}{\bf 42}_{\bf 1}{\bf 2}]$
2	a	2.22		$[P4/mmm\ a]$	C
2	b				$[00{\textstyle{1 \over 2}}\ C]$
2	c	4..		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ ..2\ CI1z]$
4	d	2..		$[P4/mmm\ g]$	C2z
4	e	..2		$[P4/mbm\ g]$	.b. C2xx
4	f				$[00{\textstyle{1 \over 2}}\ .b.\ C2xx]$
8	g	1	^*	$[P42 _{1}2\ g]$	$[.2_{1}.\ C2xx2yz]$

91 $[{\bi P}{\bf 4}_{\bf 1}{\bf 22}]$
4	a	.2.	^*	$[P4_{3}22\ a]$	$[00{\textstyle{3 \over 4}}\ 4_{1}..\ P_{cc}I_{c}1x]$
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{3 \over 4}}\ 4_{1}..\ P_{cc}I_{c}1x]$
4	c	..2	^*	$[ P4_{3}22\ c]$	$[00{\textstyle{3 \over 8}}\ 4_{1}..\ P_{cc}{^{v}D}1xx]$
8	d	1	^*	$[P4_{3}22\ d]$	$[00{\textstyle{3 \over 4}}\ 4_{1}..\ P_{cc}I_{c}1x2yz]$

92 $[{\bi P}{\bf 4}_{\bf 1}{\bf 2}_{\bf 1}{\bf 2}]$
4	a	..2	^*	$[P4_{3}2_{1}2\ a]$	$[4_{1}..\ I_{c}{^{v}D}1xx]$
8	b	1	^*	$[P4_{3}2_{1}2\ b]$	$[4_{1}..\ I_{c}{^{v}D}1xx2yz]$

93 $[{\bi P}{\bf 4}_{\bf 2}{\bf 22}]$
2	a	222.		$[P4/mmm\ a]$	$[P_{c}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
2	c	222.		$[I4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ I]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ I]$
2	e	2.22		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	f				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}]$
4	g	2..		$[P4/mmm\ g]$	$[P_{c}2z]$
4	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}2z]$
4	i	2..		$[I4/mmm\ e]$	$[0{\textstyle{1 \over 2}}0\ I2z]$
4	j	.2.		$[P4_{2}/mmc\ j]$	$[..2\ P_{c}2x]$
4	k				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ ..2\ P_{c}2x]$
4	l				$[00{\textstyle{1 \over 2}}\ ..2\ P_{c}2x]$
4	m				$[{\textstyle{1 \over 2}{1 \over 2}}0\ ..2\ P_{c}2x]$
4	n	..2		$[P4_{2}/mcm\ i]$	$[00{\textstyle{1 \over 4}}\ .2.\ P_{c}2xx]$
4	o				$[00{\textstyle{3 \over 4}}\ .2.\ P_{c}2xx]$
8	p	1	^*	$[P4_{2}22\ p]$	$[..2\ P_{c}2x2yz]$

94 $[{\bi P}{\bf 4}_{\bf 2}{\bf 2}_{\bf 1}{\bf 2}]$
2	a	2.22		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	2..		$[I4/mmm\ e]$	I2z
4	d	2..		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ (..2\ CI1z)_{c}]$
4	e	..2		$[P4_{2}/mnm\ f]$	.n. I2xx
4	f				$[00{\textstyle{1 \over 2}}\ .n.\ I2xx]$
8	g	1	^*	$[P4_{2}2_{1}2\ g]$	$[.2_{1}.\ I2xx2yz]$

95 $[{\bi P}{\bf 4}_{\bf 3}{\bf 22}]$
4	a	.2.	^*	$[P4_{3}22\ a]$	$[00{\textstyle{1 \over 4}}\ 4_{3}..\ P_{cc}I_{c}1x]$
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ 4_{3}..\ P_{cc}I_{c}1x]$
4	c	..2	^*	$[P4_{3}22\ c]$	$[00{\textstyle{5 \over 8}}\ 4_{3}..\ P_{cc}{^{v}D}1xx]$
8	d	1	^*	$[P4_{3}22\ d]$	$[00{\textstyle{1 \over 4}}\ 4_{3}..\ P_{cc}I_{c}1x2yz]$

96 $[{\bi P}{\bf 4}_{\bf 3}{\bf 2}_{\bf 1}{\bf 2}]$
4	a	..2	^*	$[P4_{3}2_{1}2\ a]$	$[4_{3}..\ I_{c}{^{v}D}1xx]$
8	b	1	^*	$[P4_{3}2_{1}2\ b]$	$[4_{3}..\ I_{c}{^{v}D}1xx2yz]$

97 I422
2	a	422		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	222.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	2.22		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	e	4..		$[I4/mmm\ e]$	I2z
8	f	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	g	..2		$[I4/mmm\ h]$	I4xx
8	h	.2.		$[I4/mmm\ i]$	I4x
8	i				$[00{\textstyle{1 \over 2}}\ I4x]$
8	j	..2		$[I4/mcm\ h]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ .b.\ C_{c}2xx]$
16	k	1	^*	$[I422\ k]$	I4x2yz

98 $[{\bi I}{\bf 4}_{\bf 1}{\bf 22}]$
4	a	2.22		$[I4_{1}/amd\ a]$	$[^{v}D]$
4	b				$[00{\textstyle{1 \over 2}}\ ^{v}D]$
8	c	2..		$[I4_{1}/amd\ e]$	$[^{v}D2z]$
8	d	..2	^*	$[I4_{1}22\ d]$	$[.2.\ ^{v}D2xx]$
8	e				$[.2.\ ^{v}D2x\bar{x}]$
8	f	.2.	^*	$[I4_{1}22\ f]$	$[..22\ ^{v}TC_{cc}1x]$
16	g	1	^*	$[I4_{1}22\ g]$	$[.2.\ ^{v}D2xx2yz]$

99 P4mm
1	a	4mm		$[P4/mmm\ a]$	P[z]
1	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P\hbox{[}z\hbox{]}]$
2	c	2mm.		$[P4/mmm\ a]$	$[{\textstyle{1 \over 2}}00\ C\hbox{[}z\hbox{]}]$
4	d	..m		$[P4/mmm\ j]$	P4xx[z]
4	e	.m.		$[P4/mmm\ l]$	P4x[z]
4	f				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P4x\hbox{[}z\hbox{]}]$
8	g	1		$[P4/mmm\ p]$	P4x2y[z]

100 P4bm
2	a	4..		$[P4/mmm\ a]$	C[z]
2	b	2.mm		$[P4/mmm\ a]$	$[{\textstyle{1 \over 2}}00\ C\hbox{[}z\hbox{]}]$
4	c	..m		$[P4/mbm\ g]$	$[0{\textstyle{1 \over 2}}0\ .b.\ C2xx\hbox{[}z\hbox{]}]$
8	d	1		$[P4/mbm\ i]$	..m C4xy[z]

101 $[{\bi P}{\bf 4}_{\bf 2}{\bi c}{\bi m}]$
2	a	2.mm		$[P4/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}\hbox{[}z\hbox{]}]$
4	c	2..		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
4	d	..m		$[P4_{2}/mcm\ i]$	$[.2.\ P_{c}2xx\hbox{[}z\hbox{]}]$
8	e	1		$[P4_{2}/mcm\ n]$	$[.2.\ P_{c}2xx2y\hbox{[}z\hbox{]}]$

102 $[{\bi P}{\bf 4}_{\bf 2}{\bi n}{\bi m}]$
2	a	2.mm		$[I4/mmm\ a]$	I[z]
4	b	2..		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
4	c	..m		$[P4_{2}/mnm\ f]$	.n. I2xx[z]
8	d	1		$[P4_{2}/mnm\ i]$	.n. I2xx2y[z]

103 P4cc
2	a	4..		$[P4/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}\hbox{[}z\hbox{]}]$
4	c	2..		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
8	d	1		$[P4/mcc\ m]$	$[.c.\ P_{c}4xy\hbox{[}z\hbox{]}]$

104 P4nc
2	a	4..		$[I4/mmm\ a]$	I[z]
4	b	2..		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
8	c	1		$[P4/mnc\ h]$	..2 I4xy[z]

105 $[{\bi P}{\bf 4}_{\bf 2}{\bi m}{\bi c}]$
2	a	2mm.		$[P4/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}\hbox{[}z\hbox{]}]$
2	c	2mm.		$[I4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ I\hbox{[}z\hbox{]}]$
4	d	.m.		$[P4_{2}/mmc\ j]$	$[..2\ P_{c}2x\hbox{[}z\hbox{]}]$
4	e				$[{\textstyle{1 \over 2}{1 \over 2}}0\ ..2\ P_{c}2x\hbox{[}z\hbox{]}]$
8	f	1		$[P4_{2}/mmc\ q]$	$[..2\ P_{c}2x2y\hbox{[}z\hbox{]}]$

106 $[{\bi P}{\bf 4}_{\bf 2}{\bi b}{\bi c}]$
4	a	2..		$[P4/mmm\ a]$	$[C_{c}\hbox{[}z\hbox{]}]$
4	b	2..		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
8	c	1		$[P4_{2}/mbc\ h]$	$[.b2\ C_{c}2xy\hbox{[}z\hbox{]}]$

107 I4mm
2	a	4mm		$[I4/mmm\ a]$	I[z]
4	b	2mm.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}\hbox{[}z\hbox{]}]$
8	c	..m		$[I4/mmm\ h]$	I4xx[z]
8	d	.m.		$[I4/mmm\ i]$	I4x[z]
16	e	1		$[I4/mmm\ l]$	I4x2y[z]

108 I4cm
4	a	4..		$[P4/mmm\ a]$	$[C_{c}\hbox{[}z\hbox{]}]$
4	b	2.mm		$[P4/mmm\ a]$	$[{\textstyle{1 \over 2}}00\ C_{c}\hbox{[}z\hbox{]}]$
8	c	..m		$[I4/mcm\ h]$	$[{\textstyle{1 \over 2}}00\ .b.\ C_{c}2xx\hbox{[}z\hbox{]}]$
16	d	1		$[I4/mcm\ k]$	$[..m\ C_{c}4xy\hbox{[}z\hbox{]}]$

109 $[{\bi I}{\bf 4}_{\bf 1}{\bi m}{\bi d}]$
4	a	2mm.		$[I4_{1}/amd\ a]$	$[^{v}D\hbox{[}z\hbox{]}]$
8	b	.m.	^*	$[I4_{1}md\ b]$	$[..d\ ^{v}D2x\hbox{[}z\hbox{]}]$
16	c	1	^*	$[I4_{1}md\ c]$	$[..d\ ^{v}D2x2y\hbox{[}z\hbox{]}]$

110 $[{\bi I}{\bf 4}_{\bf 1}{\bi c}{\bi d}]$
8	a	2..		$[I4/mmm\ a]$	$[F_{c}\hbox{[}z\hbox{]}]$
16	b	1	^*	$[I4_{1}cd\ b]$	$[.bd\ F_{c}2xy\hbox{[}z\hbox{]}]$

111 $[{\bi P}\bar{{\bf 4}}{\bf 2}{\bi m}]$
1	a	$[\bar{4}2m]$		$[P4/mmm\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
1	c				$[00{\textstyle{1 \over 2}}\ P]$
1	d				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
2	e	222.		$[P4/mmm\ a]$	$[{\textstyle{1 \over 2}}00\ C]$
2	f				$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 2}}\ C]$
2	g	2.mm		$[P4/mmm\ g]$	P2z
2	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P2z]$
4	i	.2.		$[P4/mmm\ l]$	P4x
4	j				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P4x]$
4	k				$[00{\textstyle{1 \over 2}}\ P4x]$
4	l				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P4x]$
4	m	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C2z]$
4	n	..m	^*	$[P\bar{4}2m\ n]$	P4xxz
8	o	1	^*	$[P\bar{4}2m\ o]$	P4xxz2y

112 $[{\bi P}\bar{\bf 4}{\bf 2}{\bi c}]$
2	a	222.		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	c				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}]$
2	b	222.		$[I4/mmm\ a]$	$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 4}}\ I]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 4}}\ I]$
2	e	$[\bar{4}..]$		$[P4/mmm\ a]$	$[P_{c}]$
2	f				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
4	g	.2.		$[P4_{2}/mmc\ j]$	$[00{\textstyle{1 \over 4}}\ ..2\ P_{c}2x]$
4	h				$[{\textstyle{1 \over 2}{1 \over 2}{3 \over 4}}\ ..2\ P_{c}2x]$
4	i				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ ..2\ P_{c}2x]$
4	j				$[00{\textstyle{3 \over 4}}\ ..2\ P_{c}2x]$
4	k	2..		$[P4/mmm\ g]$	$[P_{c}2z]$
4	l				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}2z]$
4	m	2..		$[I4/mmm\ e]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ I2z]$
8	n	1	^*	$[P\bar{4}2c\ n]$	$[.2.\ P_{c}4xyz]$

113 $[{\bi P}\bar{\bf 4}{\bf 2}_{\bf 1}{\bi m}]$
2	a	$[\bar{4}..]$		$[P4/mmm\ a]$	C
2	b				$[00{\textstyle{1 \over 2}}\ C]$
2	c	2.mm		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ ..2\ CI1z]$
4	d	2..		$[P4/mmm\ g]$	C2z
4	e	..m	^*	$[P\bar{4}2_{1}m\ e]$	$[0{\textstyle{1 \over 2}}0\ .2_{1}.\ CI1z2xx]$
8	f	1	^*	$[P\bar{4}2_{1}m\ f]$	..m C4xyz

114 $[{\bi P}\bar{\bf 4}{\bf 2}_{\bf 1}{\bi c}]$
2	a	$[\bar{4}..]$		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	2..		$[I4/mmm\ e]$	I2z
4	d	2..		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ (..2\ CI1z)_{c}]$
8	e	1	^*	$[P\bar{4}2_{1}c\ e]$	..c I4xyz

115 $[{\bi P}\bar{{\bf 4}}{\bi m}{\bf 2}]$
1	a	$[\bar{4}m2]$		$[P4/mmm\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	c				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
1	d				$[00{\textstyle{1 \over 2}}\ P]$
2	e	2mm.		$[P4/mmm\ g]$	P2z
2	f				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P2z]$
2	g	2mm.		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ ..2\ CI1z]$
4	h	..2		$[P4/mmm\ j]$	P4xx
4	i				$[00{\textstyle{1 \over 2}}\ P4xx]$
4	j	.m.	^*	$[P\bar{4}m2\ j]$	P4xz
4	k				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P4xz]$
8	l	1	^*	$[P\bar{4}m2\ l]$	P4xz2y

116 $[{\bi P}\bar{\bf 4}{\bi c}{\bf 2}]$
2	a	2.22		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}]$
2	c	$[\bar{4}..]$		$[P4/mmm\ a]$	$[P_{c}]$
2	d				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
4	e	..2		$[P4_{2}/mcm\ i]$	$[00{\textstyle{1 \over 4}}\ .2.\ P_{c}2xx]$
4	f				$[00{\textstyle{3 \over 4}}\ .2.\ P_{c}2xx]$
4	g	2..		$[P4/mmm\ g]$	$[P_{c}2z]$
4	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}2z]$
4	i	2..		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ (..2\ CI1z)_{c}]$
8	j	1	^*	$[P\bar{4}c2\ j]$	$[..2\ P_{c}4xyz]$

117 $[{\bi P}\bar{\bf 4}{\bi b}{\bf 2}]$
2	a	$[\bar{4}..]$		$[P4/mmm\ a]$	C
2	b				$[00{\textstyle{1 \over 2}}\ C]$
2	c	2.22		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ C]$
4	e	2..		$[P4/mmm\ g]$	C2z
4	f	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C2z]$
4	g	..2		$[P4/mbm\ g]$	$[0{\textstyle{1 \over 2}}0\ .b.\ C2xx]$
4	h				$[0{\textstyle{1 \over 2}{1 \over 2}}\ .b.\ C2xx]$
8	i	1	^*	$[P\bar{4}b2\ i]$	..2 C4xyz

118 $[{\bi P}\bar{\bf 4}{\bi n}{\bf 2}]$
2	a	$[\bar{4}..]$		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
2	c	2.22		$[I4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ I]$
2	d				$[0{\textstyle{1 \over 2}{3 \over 4}}\ I]$
4	e	2..		$[I4/mmm\ e]$	I2z
4	f	..2		$[P4_{2}/mnm\ f]$	$[{\textstyle{1 \over 2}}0{\textstyle{3 \over 4}}\ .n.\ I2xx]$
4	g				$[0{\textstyle{1 \over 2}{1 \over 4}}\ .n.\ I2xx]$
4	h	2..		$[I4/mmm\ e]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ I2z]$
8	i	1	^*	$[P\bar{4}n2\ i]$	..2 I4xyz

119 $[{\bi I}\bar{\bf 4}{\bi m}{\bf 2}]$
2	a	$[\bar{4}m2]$		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
2	c				$[0{\textstyle{1 \over 2}{1 \over 4}}\ I]$
2	d				$[0{\textstyle{1 \over 2}{3 \over 4}}\ I]$
4	e	2mm.		$[I4/mmm\ e]$	I2z
4	f				$[0{\textstyle{1 \over 2}{1 \over 4}}\ I2z]$
8	g	..2		$[I4/mmm\ h]$	I4xx
8	h				$[0{\textstyle{1 \over 2}{1 \over 4}}\ I4xx]$
8	i	.m.	^*	$[I\bar{4}m2\ i]$	I4xz
16	j	1	^*	$[I\bar{4}m2\ j]$	I4xz2y

120 $[{\bi I}\bar{\bf 4}{\bi c}{\bf 2}]$
4	a	2.22		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ C_{c}]$
4	d				$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	b	$[\bar{4}..]$		$[P4/mmm\ a]$	$[C_{c}]$
4	c				$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
8	e	..2		$[I4/mcm\ h]$	$[00{\textstyle{1 \over 4}}\ .b.\ C_{c}2xx]$
8	h				$[0{\textstyle{1 \over 2}}0\ .b.\ C_{c}2xx]$
8	f	2..		$[P4/mmm\ g]$	$[C_{c}2z]$
8	g				$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
16	i	1	^*	$[I\bar{4}c2\ i]$	$[..2\ C_{c}4xyz]$

121 $[{\bi I}\bar{\bf 4}{\bf 2}{\bi m}]$
2	a	$[\bar{4}2m]$		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	222.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	$[\bar{4}..]$		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	e	2.mm		$[I4/mmm\ e]$	I2z
8	f	.2.		$[I4/mmm\ i]$	I4x
8	g				$[00{\textstyle{1 \over 2}}\ I4x]$
8	h	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	i	..m	^*	$[I\bar{4}2m\ i]$	I4xxz
16	j	1	^*	$[I\bar{4}2m\ j]$	I4xxz2y

122 $[{\bi I}\bar{\bf 4}{\bf 2}{\bi d}]$
4	a	$[\bar{4}..]$		$[I4_{1}/amd\ a]$	$[^{v}D]$
4	b				$[00{\textstyle{1 \over 2}}\ ^{v}D]$
8	c	2..		$[I4_{1}/amd\ e]$	$[^{v}D2z]$
8	d	.2.	^*	$[I\bar{4}2d\ d]$	$[\bar{4}..\ ^{v}TF_{c}1x]$
16	e	1	^*	$[I\bar{4}2d\ e]$	$[.2.\ ^{v}D4xyz]$

123 $[{\bi P}{\bf 4}/{\bi m}{\bi m}{\bi m}]$
1	a		^*	$[P4/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P]$
1	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	e	mmm.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 2}}\ C]$
2	f				$[0{\textstyle{1 \over 2}}0\ C]$
2	g	4mm	^*	$[P4/mmm\ g]$	P2z
2	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P2z]$
4	i	2mm.		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C2z]$
4	j	m.2m	^*	$[P4/mmm\ j]$	P4xx
4	k				$[00{\textstyle{1 \over 2}}\ P4xx]$
4	l	m2m.	^*	$[P4/mmm\ l]$	P4x
4	m				$[00{\textstyle{1 \over 2}}\ P4x]$
4	n				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P4x]$
4	o				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P4x]$
8	p	m..	^*	$[P4/mmm\ p]$	P4x2y
8	q				$[00{\textstyle{1 \over 2}}\ P4x2y]$
8	r	..m	^*	$[P4/mmm\ r]$	P4xx2z
8	s	.m.	^*	$[P4/mmm\ s]$	P4x2z
8	t				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P4x2z]$
16	u	1	^*	$[P4/mmm\ u]$	P4x2y2z

124 $[{\bi P}{\bf 4}/{\bi m}{\bi c}{\bi c}]$
2	a	422		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	c				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}]$
2	b			$[P4/mmm\ a]$	$[P_{c}]$
2	d				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
4	e			$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	f	222.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	g	4..		$[P4/mmm\ g]$	$[P_{c}2z]$
4	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}2z]$
8	i	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	j	..2		$[P4/mmm\ j]$	$[00{\textstyle{1 \over 4}}\ P_{c}4xx]$
8	k	.2.		$[P4/mmm\ l]$	$[00{\textstyle{1 \over 4}}\ P_{c}4x]$
8	l				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}4x]$
8	m	m..	^*	$[P4/mcc\ m]$	$[.c.\ P_{c}4xy]$
16	n	1	^*	$[P4/mcc\ n]$	$[.c.\ P_{c}4xy2z]$

125 $[{\bi P}{\bf 4}/{\bi n}{\bi b}{\bi m}]$
2	a	422		$[P4/mmm\ a]$	C
2	b				$[00{\textstyle{1 \over 2}}\ C]$
2	c	$[\bar{4}2m]$		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ C]$
4	e			$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}]$
4	f				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ P_{ab}]$
4	g	4..		$[P4/mmm\ g]$	C2z
4	h	2.mm		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C2z]$
8	i	..2		$[P4/mmm\ l]$	C4xx
8	j				$[00{\textstyle{1 \over 2}}\ C4xx]$
8	k	.2.		$[P4/mmm\ j]$	C4x
8	l				$[00{\textstyle{1 \over 2}}\ C4x]$
8	m	..m	^*	$[P4/nbm\ m]$	$[0{\textstyle{1 \over 2}}0\ ..2\ C4xxz]$
16	n	1	^*	$[P4/nbm\ n]$	..m C4x2yz

126 $[{\bi P}{\bf 4}/{\bi n}{\bi n}{\bi c}]$
2	a	422		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	222.		$[P4/mmm\ a]$	$[{\textstyle{1 \over 2}}00\ C_{c}]$
4	d	$[\bar{4}..]$		$[P4/mmm\ a]$	$[{\textstyle{1 \over 2}}0{\textstyle{1 \over 4}}\ C_{c}]$
4	e	4..		$[I4/mmm\ e]$	I2z
8	f	$[\bar{1}]$		$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	g	2..		$[P4/mmm\ g]$	$[{\textstyle{1 \over 2}}00\ C_{c}2z]$
8	h	..2		$[I4/mmm\ h]$	I4xx
8	i	.2.		$[I4/mmm\ i]$	I4x
8	j				$[00{\textstyle{1 \over 2}}\ I4x]$
16	k	1	^*	$[P4/nnc\ k]$	..c I4x2yz

127 $[ {\bi P}{\bf 4}/{\bi m}{\bi b}{\bi m}]$
2	a			$[P4/mmm\ a]$	C
2	b				$[00{\textstyle{1 \over 2}}\ C]$
2	c	m.mm		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 2}}\ C]$
2	d				$[0{\textstyle{1 \over 2}}0\ C]$
4	e	4..		$[P4/mmm\ g]$	C2z
4	f	2.mm		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C2z]$
4	g	m.2m	^*	$[P4/mbm\ g]$	$[0{\textstyle{1 \over 2}}0\ .b.\ C2xx]$
4	h				$[0{\textstyle{1 \over 2}{1 \over 2}}\ .b.\ C2xx]$
8	i	m..	^*	$[P4/mbm\ i]$	..m C4xy
8	j				$[00{\textstyle{1 \over 2}}\ ..m\ C4xy]$
8	k	..m	^*	$[P4/mbm\ k]$	$[0{\textstyle{1 \over 2}}0\ .b.\ C2xx2z]$
16	l	1	^*	$[P4/mbm\ l]$	..m C4xy2z

128 $[{\bi P}{\bf 4}/{\bi m}{\bi n}{\bi c}]$
2	a			$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c			$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	2.22		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	e	4..		$[I4/mmm\ e]$	I2z
8	f	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	g	..2		$[P4/mbm\ g]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ (.b.\ C2xx)_{c}]$
8	h	m..	^*	$[P4/mnc\ h]$	..2 I4xy
16	i	1	^*	$[P4/mnc\ i]$	..2 I4xy2z

129 $[ {\bi P}{\bf 4}/{\bi n}{\bi m}{\bi m}]$
2	a	$[\bar{4}m2]$		$[P4/mmm\ a]$	C
2	b				$[00{\textstyle{1 \over 2}}\ C]$
2	c	4mm	^*	$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ ..2\ CI1z]$
4	d			$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{ab}]$
4	e				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 2}}\ P_{ab}]$
4	f	2mm.		$[P4/mmm\ g]$	C2z
8	g	..2		$[P4/mmm\ l]$	C4xx
8	h				$[00{\textstyle{1 \over 2}}\ C4xx]$
8	i	.m.	^*	$[P4/nmm\ i]$	..m C4xz
8	j	..m	^*	$[P4/nmm\ j]$	$[0{\textstyle{1 \over 2}}0\ ..2\ CI1z4xx]$
16	k	1	^*	$[P4/nmm\ k]$	..m C4xz2y

130 $[ {\bi P}{\bf 4}/{\bi n}{\bi c}{\bi c}]$
4	a	2.22		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ C_{c}]$
4	b	$[\bar{4}..]$		$[P4/mmm\ a]$	$[C_{c}]$
4	c	4..		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ (..2\ CI1z)_{c}]$
8	d	$[\bar{1}]$		$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}}0\ P_{2}]$
8	e	2..		$[P4/mmm\ g]$	$[C_{c}2z]$
8	f	..2		$[I4/mcm\ h]$	$[00{\textstyle{1 \over 4}}\ .b.\ C_{c}2xx]$
16	g	1	^*	$[P4/ncc\ g]$	$[..c2\ C_{c}4xyz]$

131 $[{\bi P}{\bf 4}_{\bf 2}/{\bi m}{\bi m}{\bi c}]$
2	a	mmm.		$[P4/mmm\ a]$	$[P_{c}]$
2	b				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
2	c	mmm.		$[I4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ I]$
2	d				$[0{\textstyle{1 \over 2}{1 \over 2}}\ I]$
2	e	$[\bar{4}m2]$		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	f				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}]$
4	g	2mm.		$[P4/mmm\ g]$	$[P_{c}2z]$
4	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}2z]$
4	i	2mm.		$[I4/mmm\ e]$	$[0{\textstyle{1 \over 2}}0\ I2z]$
4	j	m2m.	^*	$[P4_{2}/mmc\ j]$	$[..2\ P_{c}2x]$
4	k				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ ..2\ P_{c}2x]$
4	l				$[00{\textstyle{1 \over 2}}\ ..2\ P_{c}2x]$
4	m				$[{\textstyle{1 \over 2}{1 \over 2}}0\ ..2\ P_{c}2x]$
8	n	..2		$[P4/mmm\ j]$	$[00{\textstyle{1 \over 4}}\ P_{c}4xx]$
8	o	.m.	^*	$[P4_{2}/mmc\ o]$	$[..c\ P_{c}2x2z]$
8	p				$[{\textstyle{1 \over 2}{1 \over 2}}0\ ..c\ P_{c}2x2z]$
8	q	m..	^*	$[P4_{2}/mmc\ q]$	$[..2\ P_{c}2x2y]$
16	r	1	^*	$[P4_{2}/mmc\ r]$	$[..c\ P_{c}2x2y2z]$

132 $[{\bi P}{\bf 4}_{\bf 2}/{\bi m}{\bi c}{\bi m}]$
2	a	m.mm		$[P4/mmm\ a]$	$[P_{c}]$
2	c				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}]$
2	b	$[\bar{4}2m]$		$[P4/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}]$
4	e	222.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	f			$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	g	2.mm		$[P4/mmm\ g]$	$[P_{c}2z]$
4	h				$[{\textstyle{1 \over 2}{1 \over 2}}0\ P_{c}2z]$
4	i	m.2m	^*	$[P4_{2}/mcm\ i]$	$[.2.\ P_{c}2xx]$
4	j				$[00{\textstyle{1 \over 2}}\ .2.\ P_{c}2xx]$
8	k	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	l	.2.		$[P4/mmm\ l]$	$[00{\textstyle{1 \over 4}}\ P_{c}4x]$
8	m				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 4}}\ P_{c}4x]$
8	n	m..	^*	$[P4_{2}/mcm\ n]$	$[.2.\ P_{c}2xx2y]$
8	o	..m	^*	$[P4_{2}/mcm\ o]$	$[.c.\ P_{c}2xx2z]$
16	p	1	^*	$[P4_{2}/mcm\ p]$	$[.c.\ P_{c}2xx2y2z]$

133 $[{\bi P}{\bf 4}_{\bf 2}/{\bi n}{\bi b}{\bi c}]$
4	a	222.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	b	222.		$[P4/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ C_{c}]$
4	c	2.22		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	$[\bar{4}..]$		$[P4/mmm\ a]$	$[C_{c}]$
8	e	$[\bar{1}]$		$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	f	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	g	2..		$[P4/mmm\ g]$	$[C_{c}2z]$
8	h	.2.		$[P4_{2}/mcm\ i]$	$[00{\textstyle {1 \over 4}}\ ..2\ C_{c}2x]$
8	i				$[00{\textstyle {3 \over 4}}\ ..2\ C_{c}2x]$
8	j	..2		$[I4/mcm\ h]$	$[0{\textstyle{1 \over 2}}0\ .b.\ C_{c}2xx]$
16	k	1	^*	$[P4_{2}/nbc\ k]$	$[.22\ C_{c}4xyz]$

134 $[{\bi P}{\bf 4}_{\bf 2}/{\bi n}{\bi n}{\bi m}]$
2	a	$[\bar{4}2m]$		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	222.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	2.22		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	e			$[I4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	f				$[{\textstyle {1 \over 4}{1 \over 4}{3 \over 4}}\ F]$
4	g	2.mm		$[I4/mmm\ e]$	I2z
8	h	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	i	.2.		$[I4/mmm\ i]$	I4x
8	j				$[00{\textstyle{1 \over 2}}\ I4x]$
8	k	..2		$[P4_{2}/mmc\ j]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ .2.\ C_{c}2xx]$
8	l				$[0{\textstyle{1 \over 2}}{3 \over 4}\ .2.\ C_{c}2xx]$
8	m	..m	^*	$[P4_{2}/nnm\ m]$	..2 I4xxz
16	n	1	^*	$[P4_{2}/nnm\ n]$	..2 I4xxz2y

135 $[{\bi P}{\bf 4}_{\bf 2}/{\bi m}{\bi b}{\bi c}]$
4	a			$[P4/mmm\ a]$	$[C_{c}]$
4	b	$[\bar{4}..]$		$[P4/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ C_{c}]$
4	c			$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	2.22		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
8	e	2..		$[P4/mmm\ g]$	$[C_{c}2z]$
8	f	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	g	..2		$[P4/mbm\ g]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ (.b.\ C2xx)_{c}]$
8	h	m..	^*	$[P4_{2}/mbc\ h]$	$[.b2\ C_{c}2xy]$
16	i	1	^*	$[P4_{2}/mbc\ i]$	$[.b2\ C_{c}2xy2z]$

136 $[{\bi P}{\bf 4}_{\bf 2}/{\bi m}{\bi n}{\bi m}]$
2	a	m.mm		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c			$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	$[\bar{4} ..]$		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	e	2.mm		$[I4/mmm\ e]$	I2z
4	f	m.2m	^*	$[P4_{2}/mnm\ f]$	.n. I2xx
4	g				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ .n.\ I2xx]$
8	h	2..		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	i	m..	^*	$[P4_{2}/mnm\ i]$	.n. I2xx2y
8	j	..m	^*	$[P4_{2}/mnm\ j]$	.n. I2xx2z
16	k	1	^*	$[P4_{2}/mnm\ k]$	.n. I2xx2y2z

137 $[{\bi P}{\bf 4}_{\bf 2}/{\bi n}{\bi m}{\bi c}]$
2	a	$[\bar{4} m2]$		$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	2mm.		$[I4/mmm\ e]$	I2z
4	d	2mm.		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ (..2\ CI1z)_{c}]$
8	e	$[\bar{1}]$		$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	f	..2		$[I4/mmm\ h]$	I4xx
8	g	.m.	^*	$[P4_{2}/nmc\ g]$	..c I4xz
16	h	1	^*	$[P4_{2}/nmc\ h]$	..c I4xz2y

138 $[{\bi P}{\bf 4}_{\bf 2}/{\bi n}{\bi c}{\bi m}]$
4	a	2.22		$[P4/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ C_{c}]$
4	b	$[\bar{4} ..]$		$[P4/mmm\ a]$	$[C_{c}]$
4	c			$[I4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	d				$[{\textstyle{1 \over 4}{1 \over 4}{3 \over 4}}\ F]$
4	e	2.mm		$[P4/nmm\ c]$	$[0{\textstyle{1 \over 2}}0\ (..2\ CI1z)_{c}]$
8	f	2..		$[P4/mmm\ g]$	$[C_{c}2z]$
8	g	..2		$[P4_{2}/mmc\ j]$	$[00{\textstyle {1 \over 4}}\ .2.\ C_{c}2xx]$
8	h				$[00{\textstyle {3 \over 4}}\ .2.\ C_{c}2xx]$
8	i	..m	^*	$[P4_{2}/ncm\ i]$	$[{\textstyle{1 \over 4}{3 \over 4}{1 \over 4}}\ \bar{4}..\ F2xxz]$
16	j	1	^*	$[P4_{2}/ncm\ j]$	$[..m2\ C_{c}4xyz]$

139 $[ {\bi I}{\bf 4}/{\bi m}{\bi m}{\bi m}]$
2	a		^*	$[I4/mmm\ a]$	I
2	b				$[00{\textstyle{1 \over 2}}\ I]$
4	c	mmm.		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
4	d	$[\bar{4} m2]$		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	e	4mm	^*	$[I4/mmm\ e]$	I2z
8	f			$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	g	2mm.		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	h	m.2m	^*	$[I4/mmm\ h]$	I4xx
8	i	m2m.	^*	$[ I4/mmm\ i]$	I4x
8	j				$[{\textstyle{1 \over 2}{1 \over 2}}0\ I4x]$
16	k	..2		$[P4/mmm\ l]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}4xx]$
16	l	m..	^*	$[I4/mmm\ l]$	I4x2y
16	m	..m	^*	$[I4/mmm\ m]$	I4xx2z
16	n	.m.	^*	$[I4/mmm\ n]$	I4x2z
32	o	1	^*	$[I4/mmm\ o]$	I4x2y2z

140 $[{\bi I}{\bf 4}/{\bi m}{\bi c}{\bi m}]$
4	a	422		$[P4/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ C_{c}]$
4	b	$[\bar{4} 2m]$		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ C_{c}]$
4	c			$[P4/mmm\ a]$	$[C_{c}]$
4	d	m.mm		$[P4/mmm\ a]$	$[0{\textstyle{1 \over 2}}0\ C_{c}]$
8	e			$[P4/mmm\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	f	4..		$[P4/mmm\ g]$	$[C_{c}2z]$
8	g	2.mm		$[P4/mmm\ g]$	$[0{\textstyle{1 \over 2}}0\ C_{c}2z]$
8	h	m.2m	^*	$[I4/mcm\ h]$	$[0{\textstyle{1 \over 2}}0\ .b.\ C_{c}2xx]$
16	i	..2		$[P4/mmm\ l]$	$[00{\textstyle {1 \over 4}}\ C_{c}4xx]$
16	j	.2.		$[P4/mmm\ j]$	$[00{\textstyle {1 \over 4}}\ C_{c}4x]$
16	k	m..	^*	$[I4/mcm\ k]$	$[..m\ C_{c}4xy]$
16	l	..m	^*	$[I4/mcm\ l]$	$[0{\textstyle{1 \over 2}{1 \over 4}}\ .b.\ C_{c}4xxz]$
32	m	1	^*	$[I4/mcm\ m]$	$[.c.\ C_{c}4xy2z]$

141 $[ {\bi I}{\bf 4}_{\bf 1}/{\bi a}{\bi m}{\bi d}]$
4	a	$[\bar{4}m2]$	^*	$[I4_{1}/amd\ a]$	$[^{v}D]$
4	b				$[00{\textstyle{1 \over 2}}\ ^{v}D]$
8	c		^*	$[I4_{1}/amd\ c]$	$[^{v}T]$
8	d				$[00{\textstyle{1 \over 2}}\ ^{v}T]$
8	e	2mm.	^*	$[I4_{1}/amd\ e]$	$[^{v}D2z]$
16	f	.2.	^*	$[I4_{1}/amd\ f]$	$[..2\ ^{v}T2x]$
16	g	..2	^*	$[I4_{1}/amd\ g]$	$[^{v}D4xx]$
16	h	.m.	^*	$[I4_{1}/amd\ h]$	$[.2.\ ^{v}D4xz]$
32	i	1	^*	$[I4_{1}/amd\ i]$	$[.2.\ ^{v}D4xz2y]$

142 $[ {\bi I}{\bf 4}_{\bf 1}/{\bi a}{\bi c}{\bi d}]$
8	a	$[\bar{4}..]$		$[I4/mmm\ a]$	$[F_{c}]$
8	b	2.22		$[I4/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ F_{c}]$
16	c	$[\bar{1}]$		$[I4/mmm\ a]$	$[0{\textstyle{1 \over 4}{1 \over 8}}\ I_{2}]$
16	d	2..		$[I4/mmm\ e]$	$[F_{c}2z]$
16	e	.2.	^*	$[I4_{1}/acd\ e]$	$[0{\textstyle {1 \over 4}{3 \over 8}}\ \bar{4} ..\ I_{2} P_{c2}1x]$
16	f	..2	^*	$[I4_{1}/acd\ f]$	$[00{\textstyle {1 \over 4}}\ .2.\ F_{c}2xx]$
32	g	1	^*	$[I4_{1}/acd\ g]$	$[.22\ F_{c}4xyz]$

143 P3
1	a	3..		$[P6/mmm\ a]$	P[z]
1	b				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P\hbox{[}z\hbox{]}]$
1	c				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P\hbox{[}z\hbox{]}]$
3	d	1		$[P\bar{6}\ j]$	P3xy[z]

144 $[{\bi P}{\bf 3}_{\bf 1}]$
3	a	1	^*	$[P3_{2}\ a]$	$[3_{1}..\ P_{C}R^{-}Q1xy\hbox{[}z\hbox{]}]$

145 $[{\bi P}{\bf 3}_{\bf 2}]$
3	a	1	^*	$[P3_{2}\ a]$	$[3_{2}..\ P_{C}R^{+}Q1xy\hbox{[}z\hbox{]}]$

146 R3 (Hexagonal axes)
3	a	3.		$[R\bar{3}m\ a]$	R[z]
9	b	1	^*	$[R3\ b]$	R3xy[z]

146 R3 (Rhombohedral axes)
1	a	3.		$[R\bar{3}m\ a]$	P[xxx]
3	b	1	^*	$[R3\ b]$	P3yz[xxx]

147 $[ {\bi P}\bar{\bf 3}]$
1	a	$[\bar{3} ..]$		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
2	c	3..		$[P6/mmm\ e]$	P2z
2	d	3..		$[P\bar{3}m1\ d]$	.2. GE1z
3	e	$[\bar{1}]$		$[P6/mmm\ f]$	N
3	f				$[00{\textstyle{1 \over 2}}\ N]$
6	g	1	^*	$[P\bar{3}\ g]$	P6xyz

148 $[{\bi R}\bar{\bf 3}]$ (Hexagonal axes)
3	a	$[\bar{3}.]$		$[R\bar{3}m\ a]$	R
3	b				$[00{\textstyle{1 \over 2}}\ R]$
6	c	3.		$[R\bar{3}m\ c]$	R2z
9	d	$[\bar{1}]$		$[R\bar{3}m\ e]$	$[00{\textstyle{1 \over 2}}\ M]$
9	e				M
18	f	1	^*	$[R\bar{3}\ f]$	R6xyz

148 $[ {\bi R}\bar{\bf 3}]$ (Rhombohedral axes)
1	a	$[\bar{3} .]$		$[R\bar{3}m\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	c	3.		$[R\bar{3}m\ c]$	P2xxx
3	d	$[\bar{1}]$		$[R\bar{3}m\ e]$	$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ J]$
3	e				J
6	f	1	^*	$[R\bar{3}\ f]$	P6xyz

149 P312
1	a	3.2		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P]$
1	d				$[{\textstyle{1 \over 3}{2 \over 3}{1 \over 2}}\ P]$
1	e				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P]$
1	f				$[{\textstyle{2 \over 3}{1 \over 3}{1 \over 2}}\ P]$
2	g	3..		$[P6/mmm\ e]$	P2z
2	h				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P2z]$
2	i				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P2z]$
3	j	..2		$[P\bar{6}m2\ j]$	$[P3x\bar{x}]$
3	k				$[00{\textstyle{1 \over 2}}\ P3x\bar{x}]$
6	l	1	^*	$[P312\ l]$	$[P3x\bar{x}2yz]$

150 P321
1	a	32.		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
2	c	3..		$[P6/mmm\ e]$	P2z
2	d	3..		$[P\bar{3}m1\ d]$	.2. GE1z
3	e	.2.		$[P\bar{6}2m\ f]$	P3x
3	f				$[00{\textstyle{1 \over 2}}\ P3x]$
6	g	1	^*	$[P321\ g]$	P3x2yz

151 $[{\bi P}{\bf 3}_{\bf 1}{\bf 12}]$
3	a	..2	^*	$[P3_{2}12\ a]$	$[00{\textstyle{1 \over 3}}\ 3_{1}..\ P_{C}{^{-}Q}1x\bar{x}]$
3	b				$[00{\textstyle{5 \over 6}}\ 3_{1}..\ P_{C}{^{-}Q}1x\bar{x}]$
6	c	1	^*	$[P3_{2}12\ c]$	$[00{\textstyle{1 \over 3}}\ 3_{1}..\ P_{C}{^{-}Q}1x\bar{x}2yz]$

152 $[{\bi P}{\bf 3}_{\bf 1}{\bf 21}]$
3	a	.2.	^*	$[P3_{2}21\ a]$	$[00{\textstyle{1 \over 3}}\ 3_{1}..\ P_{C}R^{-}Q1x]$
3	b				$[00{\textstyle{5 \over 6}}\ 3_{1}..\ P_{C}R^{-}Q1x]$
6	c	1	^*	$[P3_{2}21\ c]$	$[00{\textstyle{1 \over 3}}\ 3_{1}..\ P_{C}R^{-}Q1x2yz]$

153 $[{\bi P}{\bf 3}_{\bf 2}{\bf 12}]$
3	a	..2	^*	$[P3_{2}12\ a]$	$[00{\textstyle{2 \over 3}}\ 3_{2}..\ P_{C}{^{+}Q}1x\bar{x}]$
3	b				$[00{\textstyle{1 \over 6}}\ 3_{2}..\ P_{C}{^{+}Q}1x\bar{x}]$
6	c	1	^*	$[P3_{2}12\ c]$	$[00{\textstyle{2 \over 3}}\ 3_{2}..\ P_{C}{^{+}Q}1x\bar{x}2yz]$

154 $[{\bi P}{\bf 3}_{\bf 2}{\bf 21}]$
3	a	.2.	^*	$[P3_{2}21\ a]$	$[00{\textstyle{2 \over 3}}\ 3_{2}..\ P_{C}R^{+}Q1x]$
3	b				$[00{\textstyle{1 \over 6}}\ 3_{2}..\ P_{C}R^{+}Q1x]$
6	c	1	^*	$[P3_{2}21\ c]$	$[00{\textstyle{2 \over 3}}\ 3_{2}..\ P_{C}R^{+}Q1x2yz]$

155 R32 (Hexagonal axes)
3	a	32		$[R\bar{3}m\ a]$	R
3	b				$[00{\textstyle{1 \over 2}}\ R]$
6	c	3.		$[R\bar{3}m\ c]$	R2z
9	d	.2	^*	$[R32\ d]$	R3x
9	e				$[00{\textstyle{1 \over 2}}\ R3x]$
18	f	1	^*	$[R32\ f]$	R3x2yz

155 R32 (Rhombohedral axes)
1	a	32		$[R\bar{3}m\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	c	3.		$[R\bar{3}m\ c]$	P2xxx
3	d	.2	^*	$[R32\ d]$	$[P3x\bar{x}]$
3	e				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P3x\bar{x}]$
6	f	1	^*	$[R32\ f]$	$[P3x\bar{x}2yz]$

156 P3m1
1	a	3m.		$[P6/mmm\ a]$	P[z]
1	b				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P\hbox{[}z\hbox{]}]$
1	c				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P\hbox{[}z\hbox{]}]$
3	d	.m.		$[P\bar{6}m2\ j]$	$[P3x\bar{x}\hbox{[}z\hbox{]}]$
6	e	1		$[P\bar{6}m2\ l]$	$[P3x\bar{x}2y\hbox{[}z\hbox{]}]$

157 P31m
1	a	3.m		$[P6/mmm\ a]$	P[z]
2	b	3..		$[P6/mmm\ c]$	G[z]
3	c	..m		$[P\bar{6}2m\ f]$	P3x[z]
6	d	1		$[P\bar{6}2m\ j]$	P3x2y[z]

158 P3c1
2	a	3..		$[P6/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
2	b				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P_{c}\hbox{[}z\hbox{]}]$
2	c				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P_{c}\hbox{[}z\hbox{]}]$
6	d	1		$[P\bar{6}c2\ k]$	$[..2\ P_{c}3xy\hbox{[}z\hbox{]}]$

159 P31c
2	a	3..		$[P6/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
2	b	3..		$[P6_{3}/mmc\ c]$	E[z]
6	c	1		$[P\bar{6}2c\ h]$	$[.2.\ P_{c}3xy\hbox{[}z\hbox{]}]$

160 R3m (Hexagonal axes)
3	a	3m		$[R\bar{3}m\ a]$	R[z]
9	b	.m	^*	$[R3m\ b]$	$[R3x\bar{x}\hbox{[}z\hbox{]}]$
18	c	1	^*	$[R3m\ c]$	$[R3x\bar{x}2y\hbox{[}z\hbox{]}]$

160 R3m (Rhombohedral axes)
1	a	3m		$[R\bar{3}m\ a]$	P[xxx]
3	b	.m	^*	$[R3m\ b]$	P3z[xxx]
6	c	1	^*	$[R3m\ c]$	P3z2y[xxx]

161 R3c (Hexagonal axes)
6	a	3.		$[R\bar{3}m\ a]$	$[^{'}\!R_{c}\hbox{[}z\hbox{]}]$
18	b	1	^*	$[R3c\ b]$	$[.c\ ^{'}\!R_{c}3xy\hbox{[}z\hbox{]}]$

161 R3c (Rhombohedral axes)
2	a	3.		$[R\bar{3}m\ a]$	I[xxx]
6	b	1	^*	$[R3c\ b]$	.n I3yz[xxx]

162 $[ {\bi P}\bar{\bf 3}{\bf 1}{\bi m}]$
1	a	$[\bar{3} .m]$		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
2	c	3.2		$[P6/mmm\ c]$	G
2	d				$[00{\textstyle{1 \over 2}}\ G]$
2	e	3.m		$[P6/mmm\ e]$	P2z
3	f			$[P6/mmm\ f]$	N
3	g				$[00{\textstyle{1 \over 2}}\ N]$
4	h	3..		$[P6/mmm\ h]$	G2z
6	i	..2		$[P6/mmm\ l]$	$[P6x\bar{x}]$
6	j				$[00{\textstyle{1 \over 2}}\ P6x\bar{x}]$
6	k	..m	^*	$[P\bar{3}1m\ k]$	P6xz
12	l	1	^*	$[P\bar{3}1m\ l]$	P6xz2y

163 $[ {\bi P}\bar{\bf 3}{\bf 1}{\bi c}]$
2	a	3.2		$[P6/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	b	$[\bar{3}..]$		$[P6/mmm\ a]$	$[P_{c}]$
2	c	3.2		$[P6_{3}/mmc\ c]$	E
2	d				$[00{\textstyle{1 \over 2}}\ E]$
4	e	3..		$[P6/mmm\ e]$	$[P_{c}2z]$
4	f	3..		$[P6_{3}/mmc\ f]$	E2z
6	g	$[\bar{1}]$		$[P6/mmm\ f]$	$[N_{c}]$
6	h	..2		$[P6_{3}/mmc\ h]$	$[00{\textstyle {1 \over 4}}\ .2.\ P_{c}3x\bar{x}]$
12	i	1	^*	$[P\bar{3}1c\ i]$	$[..c\ P_{c}6xyz]$

164 $[ {\bi P}\bar{\bf 3}{\bi m}{\bf 1}]$
1	a	$[\bar{3}m.]$		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
2	c	3m.		$[P6/mmm\ e]$	P2z
2	d	3m.	^*	$[P\bar{3}m1\ d]$	.2. GE1z
3	e			$[P6/mmm\ f]$	N
3	f				$[00{\textstyle{1 \over 2}}\ N]$
6	g	.2.		$[P6/mmm\ j]$	P6x
6	h				$[00{\textstyle{1 \over 2}}\ P6x]$
6	i	.m.	^*	$[P\bar{3}m1\ i]$	$[P6x\bar{x}z]$
12	j	1	^*	$[P\bar{3}m1\ j]$	$[P6x\bar{x}z2y]$

165 $[{\bi P}\bar{\bf 3}{\bi c}{\bf 1}]$
2	a	32.		$[P6/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ P_{c}]$
2	b	$[\bar{3}..]$		$[P6/mmm\ a]$	$[P_{c}]$
4	c	3..		$[P6/mmm\ e]$	$[P_{c}2z]$
4	d	3..		$[P\bar{3}m1\ d]$	$[(.2.\ GE1z)_{c}]$
6	e	$[\bar{1}]$		$[P6/mmm\ f]$	$[N_{c}]$
6	f	.2.		$[P6_{3}/mcm\ g]$	$[00{\textstyle {1 \over 4}}\ ..2\ P_{c}3x]$
12	g	1	^*	$[P\bar{3}c1\ g]$	$[.c.\ P_{c}6xyz]$

166 $[ {\bi R}\bar{\bf 3}{\bi m}]$ (Hexagonal axes)
3	a	$[\bar{3}m]$	^*	$[R\bar{3}m\ a]$	R
3	b				$[00{\textstyle{1 \over 2}}\ R]$
6	c	3m	^*	$[R\bar{3}m\ c]$	R2z
9	e		^*	$[R\bar{3}m\ e]$	M
9	d				$[00{\textstyle{1 \over 2}}\ M]$
18	f	.2	^*	$[R\bar{3}m\ f]$	R6x
18	g				$[00{\textstyle{1 \over 2}}\ R6x]$
18	h	.m	^*	$[R\bar{3}m\ h]$	$[R6x\bar{x}z]$
36	i	1	^*	$[R\bar{3}m\ i]$	$[R6x\bar{x}z2y]$

166 $[{\bi R}\bar{\bf 3}{\bi m}]$ (Rhombohedral axes)
1	a	$[\bar{3}m]$	^*	$[R\bar{3}m\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
2	c	3m	^*	$[R\bar{3}m\ c]$	P2xxx
3	e		^*	$[R\bar{3}m\ e]$	J
3	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ J]$
6	f	.2	^*	$[R\bar{3}m\ f]$	$[P6x\bar{x}]$
6	g				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P6x\bar{x}]$
6	h	.m	^*	$[R\bar{3}m\ h]$	P6xxz
12	i	1	^*	$[R\bar{3}m\ i]$	P6xxz2y

167 $[ {\bi R}\bar{\bf 3}{\bi c}]$ (Hexagonal axes)
6	a	32		$[R\bar{3}m\ a]$	$[00{\textstyle {1 \over 4}}\ ^{'}\!R_{c}]$
6	b	$[\bar{3}.]$		$[R\bar{3}m\ a]$	$[^{'}\!R_{c}]$
12	c	3.		$[R\bar{3}m\ c]$	$[^{'}\!R_{c}2z]$
18	d	$[\bar{1}]$		$[R\bar{3}m\ e]$	$[^{'}\!M_{c}]$
18	e	.2	^*	$[R\bar{3} c\ e]$	$[00{\textstyle {1 \over 4}}\ .c\ ^{'}\!R_{c}3x]$
36	f	1	^*	$[R\bar{3} c\ f]$	$[.c\ ^{'}\!R_{c}6xyz]$

167 $[ {\bi R}\bar{\bf 3}{\bi c}]$ (Rhombohedral axes)
2	a	32		$[R\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ I]$
2	b	$[\bar{3}.]$		$[R\bar{3}m\ a]$	I
4	c	3.		$[R\bar{3}m\ c]$	I2xxx
6	d	$[\bar{1}]$		$[R\bar{3}m\ e]$	$[J^{*}]$
6	e	.2	^*	$[R\bar{3} c\ e]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ .n\ I3x\bar{x}]$
12	f	1	^*	$[R\bar{3} c\ f]$	.n I6xyz

168 P6
1	a	6..		$[P6/mmm\ a]$	P[z]
2	b	3..		$[P6/mmm\ c]$	G[z]
3	c	2..		$[P6/mmm\ f]$	N[z]
6	d	1		$[P6/m\ j]$	P6xy[z]

169 $[ {\bi P}{\bf 6}_{\bf 1}]$
6	a	1	^*	$[P6_{1}\ a]$	$[3_{1}2_{1}..\ P_{Cc}E_{C}{^{+}Q}_{c}1xy\hbox{[}z\hbox{]}]$

170 $[ {\bi P}{\bf 6}_{\bf 5}]$
6	a	1	^*	$[P6_{1}a]$	$[3_{2}2_{1}..\ P_{Cc}E_{C}{^{-}Q}_{c}1xy\hbox{[}z\hbox{]}]$

171 $[{\bi P}{\bf 6}_{\bf 2}]$
3	a	2..		$[P6/mmm\ a]$	$[P_{C}\hbox{[}z\hbox{]}]$
3	b	2..		$[P6_{2}22\ c]$	$[^{+}Q\hbox{[}z\hbox{]}]$
6	c	1	^*	$[P6_{2}\ c]$	$[3_{2}..\ P_{C}2xy\hbox{[}z\hbox{]}]$

172 $[{\bi P}{\bf 6}_{\bf 4}]$
3	a	2..		$[P6/mmm\ a]$	$[P_{C}\hbox{[}z\hbox{]}]$
3	b	2..		$[P6_{2}22\ c]$	$[^{-}Q\hbox{[}z\hbox{]}]$
6	c	1	^*	$[P6_{2}\ c]$	$[3_{1}..\ P_{C}2xy\hbox{[}z\hbox{]}]$

173 $[{\bi P}{\bf 6}_{\bf 3}]$
2	a	3..		$[P6/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
2	b	3..		$[P6_{3}/mmc\ c]$	E[z]
6	c	1		$[P6_{3}/m\ h]$	$[2_{1}..\ P_{c}3xy\hbox{[}z\hbox{]}]$

174 $[{\bi P}\bar{\bf 6}]$
1	a	$[\bar{6}..]$		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P]$
1	d				$[{\textstyle{1 \over 3}{2 \over 3}{1 \over 2}}\ P]$
1	e				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P]$
1	f				$[{\textstyle{2 \over 3}{1 \over 3}{1 \over 2}}\ P]$
2	g	3..		$[P6/mmm\ e]$	P2z
2	h				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P2z]$
2	i				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P2z]$
3	j	m..	^*	$[P\bar{6}\ j]$	P3xy
3	k				$[00{\textstyle{1 \over 2}}\ P3xy]$
6	l	1	^*	$[P\bar{6}\ l]$	P3xy2z

175 $[{\bi P}{\bf 6}/{\bi m}]$
1	a			$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
2	c	$[\bar{6}..]$		$[P6/mmm\ c]$	G
2	d				$[00{\textstyle{1 \over 2}}\ G]$
2	e	6..		$[P6/mmm\ e]$	P2z
3	f			$[P6/mmm\ f]$	N
3	g				$[00{\textstyle{1 \over 2}}\ N]$
4	h	3..		$[P6/mmm\ h]$	G2z
6	i	2..		$[P6/mmm\ i]$	N2z
6	j	m..	^*	$[P6/m\ j]$	P6xy
6	k				$[00{\textstyle{1 \over 2}}\ P6xy]$
12	l	1	^*	$[P6/m\ l]$	P6xy2z

176 $[{\bi P}{\bf 6}_{\bf 3}/{\bi m}]$
2	a	$[\bar{6}..]$		$[P6/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	b	$[\bar{3}..]$		$[P6/mmm\ a]$	$[P_{c}]$
2	c	$[\bar{6}..]$		$[P6_{3}/mmc\ c]$	E
2	d				$[00{\textstyle{1 \over 2}}\ E]$
4	e	3..		$[P6/mmm\ e]$	$[P_{c}2z]$
4	f	3..		$[P6_{3}/mmc\ f]$	E2z
6	g	$[\bar{1}]$		$[P6/mmm\ f]$	$[N_{c}]$
6	h	m..	^*	$[P6_{3}/m\ h]$	$[00{\textstyle {1 \over 4}}\ 2_{1}..\ P_{c}3xy]$
12	i	1	^*	$[P6_{3}/m\ i]$	$[m..\ P_{c}6xyz]$

177 P622
1	a	622		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
2	c	3.2		$[P6/mmm\ c]$	G
2	d				$[00{\textstyle{1 \over 2}}\ G]$
2	e	6..		$[P6/mmm\ e]$	P2z
3	f	222		$[P6/mmm\ f]$	N
3	g				$[00{\textstyle{1 \over 2}}\ N]$
4	h	3..		$[P6/mmm\ h]$	G2z
6	i	2..		$[P6/mmm\ i]$	N2z
6	j	.2.		$[P6/mmm\ j]$	P6x
6	k				$[00{\textstyle{1 \over 2}}\ P6x]$
6	l	..2		$[P6/mmm\ l]$	$[P6x\bar{x}]$
6	m				$[00{\textstyle{1 \over 2}}\ P6x\bar{x}]$
12	n	1	^*	$[P622\ n]$	P6x2yz

178 $[{\bi P}{\bf 6}_{\bf 1}{\bf 22}]$
6	a	.2.	^*	$[P6_{1}22\ a]$	$[3_{1}.2\ P_{Cc}{^{+}Q}_{c}1x]$
6	b	..2	^*	$[P6_{1}22\ b]$	$[00{\textstyle{11 \over 12}}\ 3_{1}2.\ P_{Cc}E_{C}{^{+}Q}_{c}1x\bar{x}]$
12	c	1	^*	$[P6_{1}22\ c]$	$[3_{1}.2\ P_{Cc}{^{+}Q}_{c}1x2yz]$

179 $[{\bi P}{\bf 6}_{\bf 5}{\bf 22}]$
6	a	.2.	^*	$[P6_{1}22\ a]$	$[3_{2}.2\ P_{Cc}{^{-}Q}_{c}1x]$
6	b	..2	^*	$[P6_{1}22\ b]$	$[00{\textstyle{1 \over 12}}\ 3_{2}2.\ P_{Cc}E_{C}{^{-}Q}_{c}1x\bar{x}]$
12	c	1	^*	$[P6_{1}22\ c]$	$[3_{2}.2\ P_{Cc}{^{-}Q}_{c}1x2yz]$

180 $[{\bi P}{\bf 6}_{\bf 2}{\bf 22}]$
3	a	222		$[P6/mmm\ a]$	$[P_{C}]$
3	b				$[00{\textstyle{1 \over 2}}\ P_{C}]$
3	c	222	^*	$[P6_{2}22\ c]$	$[^{+}Q]$
3	d				$[00{\textstyle{1 \over 2}}\ ^{+}Q]$
6	e	2..		$[P6/mmm\ e]$	$[P_{C}2z]$
6	f	2..	^*	$[P6_{2}22\ f]$	$[^{+}Q2z]$
6	g	.2.	^*	$[P6_{2}22\ g]$	$[3_{2}..\ P_{C}2x]$
6	h				$[00{\textstyle{1 \over 2}}\ 3_{2}..\ P_{C}2x]$
6	i	..2	^*	$[P6_{2}22\ i]$	$[00{\textstyle{1 \over 3}}\ 3_{2}..\ P_{C}2x\bar{x}]$
6	j				$[00{\textstyle{5 \over 6}}\ 3_{2}..\ P_{C}2x\bar{x}]$
12	k	1	^*	$[P6_{2}22\ k]$	$[3_{2}..\ P_{C}2x2yz]$

181 $[{\bi P}{\bf 6}_{\bf 4}{\bf 22}]$
3	a	222		$[P6/mmm\ a]$	$[P_{C}]$
3	b				$[00{\textstyle{1 \over 2}}\ P_{C}]$
3	c	222	^*	$[P6_{2}22\ c]$	$[^{-}Q]$
3	d				$[00{\textstyle{1 \over 2}}\ ^{-}Q]$
6	e	2..		$[P6/mmm\ e]$	$[P_{C}2z]$
6	f	2..	^*	$[P6_{2}22\ f]$	$[^{-}Q2z]$
6	g	.2.	^*	$[P6_{2}22\ g]$	$[3_{1}..\ P_{C}2x]$
6	h				$[00{\textstyle{1 \over 2}}\ 3_{1}..\ P_{C}2x]$
6	i	..2	^*	$[P6_{2}22\ i]$	$[00{\textstyle{2 \over 3}}\ 3_{1}..\ P_{C}2x\bar{x}]$
6	j				$[00{\textstyle{1 \over 6}}\ 3_{1}..\ P_{C}2x\bar{x}]$
12	k	1	^*	$[P6_{2}22\ k]$	$[3_{1}..\ P_{C}2x2yz]$

182 $[{\bi P}{\bf 6}_{\bf 3}{\bf 22}]$
2	a	32.		$[P6/mmm\ a]$	$[P_{c}]$
2	b	3.2		$[P6/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ P_{c}]$
2	c	3.2		$[P6_{3}/mmc\ c]$	E
2	d				$[00{\textstyle{1 \over 2}}\ E]$
4	e	3..		$[P6/mmm\ e]$	$[P_{c}2z]$
4	f	3..		$[P6_{3}/mmc\ f]$	E2z
6	g	.2.		$[P6_{3}/mcm\ g]$	$[..2\ P_{c}3x]$
6	h	..2		$[P6_{3}/mmc\ h]$	$[00{\textstyle {1 \over 4}}\ .2.\ P_{c}3x\bar{x}]$
12	i	1	^*	$[P6_{3}22\ i]$	$[..2\ P_{c}3x2yz]$

183 P6mm
1	a	6mm		$[P6/mmm\ a]$	P[z]
2	b	3m.		$[P6/mmm\ c]$	G[z]
3	c	2mm		$[P6/mmm\ f]$	N[z]
6	d	..m		$[P6/mmm\ j]$	P6x[z]
6	e	.m.		$[P6/mmm\ l]$	$[P6x\bar{x}\hbox{[}z\hbox{]}]$
12	f	1		$[P6/mmm\ p]$	P6x2y[z]

184 P6cc
2	a	6..		$[P6/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
4	b	3..		$[P6/mmm\ c]$	$[G_{c}\hbox{[}z\hbox{]}]$
6	c	2..		$[P6/mmm\ f]$	$[N_{c}\hbox{[}z\hbox{]}]$
12	d	1		$[P6/mcc\ l]$	$[.c.\ P_{c}6xy\hbox{[}z\hbox{]}]$

185 $[{\bi P}{\bf 6}_{\bf 3}{\bi c}{\bi m}]$
2	a	3.m		$[P6/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
4	b	3..		$[P6/mmm\ c]$	$[G_{c}\hbox{[}z\hbox{]}]$
6	c	..m		$[P6_{3}/mcm\ g]$	$[..2\ P_{c}3x\hbox{[}z\hbox{]}]$
12	d	1		$[P6_{3}/mcm\ j]$	$[..2\ P_{c}3x2y\hbox{[}z\hbox{]}]$

186 $[{\bi P}{\bf 6}_{\bf 3}{\bi m}{\bi c}]$
2	a	3m.		$[P6/mmm\ a]$	$[P_{c}\hbox{[}z\hbox{]}]$
2	b	3m.		$[P6_{3}/mmc\ c]$	E[z]
6	c	.m.		$[P6_{3}/mmc\ h]$	$[.2.\ P_{c}3x\bar{x}\hbox{[}z\hbox{]}]$
12	d	1		$[P6_{3}/mmc\ j]$	$[.2.\ P_{c}3x\bar{x}2y\hbox{[}z\hbox{]}]$

187 $[{\bi P}\bar{\bf 6}{\bi m}{\bf 2}]$
1	a	$[\bar{6}m2]$		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
1	c				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P]$
1	d				$[{\textstyle{1 \over 3}{2 \over 3}{1 \over 2}}\ P]$
1	e				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P]$
1	f				$[{\textstyle{2 \over 3}{1 \over 3}{1 \over 2}}\ P]$
2	g	3m.		$[P6/mmm\ e]$	P2z
2	h				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P2z]$
2	i				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P2z]$
3	j	mm2	^*	$[P\bar{6}m2\ j]$	$[P3x\bar{x}]$
3	k				$[00{\textstyle{1 \over 2}}\ P3x\bar{x}]$
6	l	m..	^*	$[P\bar{6}m2\ l]$	$[P3x\bar{x}2y]$
6	m				$[00{\textstyle{1 \over 2}}\ P3x\bar{x}2y]$
6	n	.m.	^*	$[P\bar{6}m2\ n]$	$[P3x\bar{x}2z]$
12	o	1	^*	$[P\bar{6}m2\ o]$	$[P3x\bar{x}2y2z]$

188 $[{\bi P}\bar{\bf 6}{\bi c}{\bf 2}]$
2	a	3.2		$[P6/mmm\ a]$	$[P_{c}]$
2	c				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P_{c}]$
2	e				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P_{c}]$
2	b	$[\bar{6}..]$		$[P6/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ P_{c}]$
2	d				$[{\textstyle{1 \over 3}{2 \over 3}{1 \over 4}}\ P_{c}]$
2	f				$[{\textstyle{2 \over 3}{1 \over 3}{1 \over 4}}\ P_{c}]$
4	g	3..		$[P6/mmm\ e]$	$[P_{c}2z]$
4	h				$[{\textstyle{1 \over 3}{2 \over 3}}0\ P_{c}2z]$
4	i				$[{\textstyle{2 \over 3}{1 \over 3}}0\ P_{c}2z]$
6	j	..2		$[P\bar{6}m2\ j]$	$[P_{c}3x\bar{x}]$
6	k	m..	^*	$[P\bar{6}c2\ k]$	$[00{\textstyle {1 \over 4}}\ ..2\ P_{c}3xy]$
12	l	1	^*	$[P\bar{6}c2\ l]$	$[m..\ P_{c}3x\bar{x}2yz]$

189 $[{\bi P}\bar{\bf 6}{\bf 2}{\bi m}]$
1	a	$[\bar{6}2m]$		$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
2	c	$[\bar{6}..]$		$[P6/mmm\ c]$	G
2	d				$[00{\textstyle{1 \over 2}}\ G]$
2	e	3.m		$[P6/mmm\ e]$	P2z
3	f	m2m	^*	$[P\bar{6}2m\ f]$	P3x
3	g				$[00{\textstyle{1 \over 2}}\ P3x]$
4	h	3..		$[P6/mmm\ h]$	G2z
6	i	..m	^*	$[P\bar{6}2m\ i]$	P3x2z
6	j	m..	^*	$[P\bar{6}2m\ j]$	P3x2y
6	k				$[00{\textstyle{1 \over 2}}\ P3x2y]$
12	l	1	^*	$[P\bar{6}2m\ l]$	P3x2y2z

190 $[{\bi P}\bar{\bf 6}{\bf 2}{\bi c}]$
2	a	32.		$[P6/mmm\ a]$	$[P_{c}]$
2	b	$[\bar{6}..]$		$[P6/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ P_{c}]$
2	c	$[\bar{6}..]$		$[P6_{3}/mmc\ c]$	E
2	d				$[00{\textstyle{1 \over 2}}\ E]$
4	e	3..		$[P6/mmm\ e]$	$[P_{c}2z]$
4	f	3..		$[P6_{3}/mmc\ f]$	E2z
6	g	.2.		$[P\bar{6}2m\ f]$	$[P_{c}3x]$
6	h	m..	^*	$[P\bar{6}2c\ h]$	$[00{\textstyle {1 \over 4}}\ .2.\ P_{c}3xy]$
12	i	1	^*	$[P\bar{6}2c\ i]$	$[m..\ P_{c}3x2yz]$

191 $[{\bi P}{\bf 6}/{\bi m}{\bi m}{\bi m}]$
1	a		^*	$[P6/mmm\ a]$	P
1	b				$[00{\textstyle{1 \over 2}}\ P]$
2	c	$[\bar{6}m2]$	^*	$[P6/mmm\ c]$	G
2	d				$[00{\textstyle{1 \over 2}}\ G]$
2	e	6mm	^*	$[P6/mmm\ e]$	P2z
3	f	mmm	^*	$[P6/mmm\ f]$	N
3	g				$[00{\textstyle{1 \over 2}}\ N]$
4	h	3m.	^*	$[P6/mmm\ h]$	G2z
6	i	2mm	^*	$[P6/mmm\ i]$	N2z
6	j	m2m	^*	$[P6/mmm\ j]$	P6x
6	k				$[00{\textstyle{1 \over 2}}\ P6x]$
6	l	mm2	^*	$[P6/mmm\ l]$	$[P6x\bar{x}]$
6	m				$[00{\textstyle{1 \over 2}}\ P6x\bar{x}]$
12	n	..m	^*	$[P6/mmm\ n]$	P6x2z
12	o	.m.	^*	$[P6/mmm\ o]$	$[P6x\bar{x}2z]$
12	p	m..	^*	$[P6/mmm\ p]$	P6x2y
12	q				$[00{\textstyle{1 \over 2}}\ P6x2y]$
24	r	1	^*	$[P6/mmm\ r]$	P6x2y2z

192 $[{\bi P}{\bf 6}/{\bi m}{\bi c}{\bi c}]$
2	a	622		$[P6/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ P_{c}]$
2	b			$[P6/mmm\ a]$	$[P_{c}]$
4	c	3.2		$[P6/mmm\ c]$	$[00{\textstyle {1 \over 4}}\ G_{c}]$
4	d	$[\bar{6}..]$		$[P6/mmm\ c]$	$[G_{c}]$
4	e	6..		$[P6/mmm\ e]$	$[P_{c}2z]$
6	f	222		$[P6/mmm\ f]$	$[00{\textstyle {1 \over 4}}\ N_{c}]$
6	g			$[P6/mmm\ f]$	$[N_{c}]$
8	h	3..		$[P6/mmm\ h]$	$[G_{c}2z]$
12	i	2..		$[P6/mmm\ i]$	$[N_{c}2z]$
12	j	.2.		$[P6/mmm\ j]$	$[00{\textstyle {1 \over 4}}\ P_{c}6x]$
12	k	..2		$[P6/mmm\ l]$	$[00{\textstyle {1 \over 4}}\ P_{c}6x\bar{x}]$
12	l	m..	^*	$[P6/mcc\ l]$	$[.c.\ P_{c}6xy]$
24	m	1	^*	$[P6/mcc\ m]$	$[.c.\ P_{c}6xy2z]$

193 $[{\bi P}{\bf 6}_{\bf 3}/{\bi m}{\bi c}{\bi m}]$
2	a	$[\bar{6}2m]$		$[P6/mmm\ a]$	$[00{\textstyle{1 \over 4}}\ P_{c}]$
2	b	$[\bar{3} .m]$		$[P6/mmm\ a]$	$[P_{c}]$
4	c	$[\bar{6}..]$		$[P6/mmm\ c]$	$[00{\textstyle{1 \over 4}}\ G_{c}]$
4	d	3.2		$[P6/mmm\ c]$	$[G_{c}]$
4	e	3.m		$[P6/mmm\ e]$	$[P_{c}2z]$
6	f			$[P6/mmm\ f]$	$[N_{c}]$
6	g	m2m	^*	$[P6_{3}/mcm\ g]$	$[00{\textstyle {1 \over 4}}\ ..2\ P_{c}3x]$
8	h	3..		$[P6/mmm\ h]$	$[G_{c}2z]$
12	i	..2		$[P6/mmm\ l]$	$[P_{c}6x\bar{x}]$
12	j	m..	^*	$[P6_{3}/mcm\ j]$	$[00{\textstyle {1 \over 4}}\ ..2\ P_{c}3x2y]$
12	k	..m	^*	$[P6_{3}/mcm\ k]$	$[m..\ P_{c}6xz]$
24	l	1	^*	$[P6_{3}/mcm\ l]$	$[m..\ P_{c}6xz2y]$

194 $[{\bi P}{\bf 6}_{\bf 3}/{\bi m}{\bi m}{\bi c}]$
2	a	$[\bar{3}m.]$		$[P6/mmm\ a]$	$[P_{c}]$
2	b	$[\bar{6}m2]$		$[P6/mmm\ a]$	$[00{\textstyle {1 \over 4}}\ P_{c}]$
2	c	$[\bar{6}m2]$	^*	$[P6_{3}/mmc\ c]$	E
2	d				$[00{\textstyle{1 \over 2}}\ E]$
4	e	3m.		$[P6/mmm\ e]$	$[P_{c}2z]$
4	f	3m.	^*	$[P6_{3}/mmc\ f]$	E2z
6	g			$[P6/mmm\ f]$	$[N_{c}]$
6	h	mm2	*	$[P6_{3}/mmc\ h]$	$[00{\textstyle {1 \over 4}}\ .2.\ P_{c}3x\bar{x}]$
12	i	.2.		$[P6/mmm\ j]$	$[P_{c}6x]$
12	j	m..	^*	$[P6_{3}/mmc\ j]$	$[00{\textstyle {1 \over 4}}\ .2.\ P_{c}3x\bar{x}2y]$
12	k	.m.	^*	$[P6_{3}/mmc\ k]$	$[m..\ P_{c}6x\bar{x}z]$
24	l	1	^*	$[P6_{3}/mmc\ l]$	$[m..\ P_{c}6x\bar{x}z2y]$

195 P23
1	a	23.		$[Pm\bar{3}m\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
3	c	222..		$[Pm\bar{3}m\ c]$	J
3	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ J]$
4	e	.3.		$[P\bar{4}3m\ e]$	P4xxx
6	f	2..		$[Pm\bar{3}m\ e]$	P6z
6	i				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P6z]$
6	g	2..		$[Pm\bar{3}\ f]$	.3. J2x
6	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ .3.\ J2x]$
12	j	1	^*	$[P23\ j]$	P6z2xy

196 F23
4	a	23.		$[Fm\bar{3}m\ a]$	F
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ F]$
4	c				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	d				$[{\textstyle{3 \over 4}{3 \over 4}{3 \over 4}}\ F]$
16	e	.3.		$[F\bar{4}3m\ e]$	F4xxx
24	f	2..		$[Fm\bar{3}m\ e]$	F6z
24	g				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F6z]$
48	h	1	^*	$[F23\ h]$	F6z2xy

197 I23
2	a	23.		$[Im\bar{3}m\ a]$	I
6	b	222..		$[Im\bar{3}m\ b]$	$[J^{*}]$
8	c	.3.		$[I\bar{4}3m\ c]$	I4xxx
12	d	2..		$[Im\bar{3}m\ e]$	I6z
12	e	2..		$[Im\bar{3}\ e]$	$[.3.\ J^{*}2x]$
24	f	1	^*	$[I23\ f]$	I6z2xy

198 $[{\bi P}{\bf 2}_{\bf 1}{\bf 3}]$
4	a	.3.	^*	$[P2_{1}3\ a]$	$[2_{1}2_{1}..\ FY1xxx]$
12	b	1	*	$[P2_{1}3\ b]$	$[2_{1}2_{1}..\ FY1xxx3yz]$

199 $[{\bi I}{\bf 2}_{\bf 1}{\bf 3}]$
8	a	.3.	^*	$[I2_{1}3\ a]$	$[2_{1}2_{1}..\ P_{2}Y^{*}1xxx]$
12	b	2..	^*	$[I2_{1}3\ b]$	$[2_{1}3.\ SV1z]$
24	c	1	^*	$[I2_{1}3\ c]$	$[2_{1}2_{1}..\ P_{2}Y^{*} 1xxx3yz]$

200 $[{\bi P}{\bi m}\bar{\bf 3}]$
1	a	$[m\bar{3}.]$		$[Pm\bar{3}m\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
3	c	mmm..		$[Pm\bar{3}m\ c]$	J
3	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ J]$
6	e	mm2..		$[Pm\bar{3}m\ e]$	P6z
6	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P6z]$
6	f	mm2..	^*	$[Pm\bar{3}\ f]$	.3. J2x
6	g				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ .3.\ J2x]$
8	i	.3.		$[Pm\bar{3}m\ g]$	P8xxx
12	j	m..	^*	$[Pm\bar{3}\ j]$	P6z2x
12	k				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P6z2x]$
24	l	1	^*	$[Pm\bar{3}\ l]$	P6z2x2y

201 $[{\bi P}{\bi n}\bar{\bf 3}]$
2	a	23.		$[Im\bar{3}m\ a]$	I
4	b	$[.\bar{3}.]$		$[Fm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	c				$[{\textstyle{3 \over 4}{3 \over 4}{3 \over 4}}\ F]$
6	d	222..		$[Im\bar{3}m\ b]$	$[J^{*}]$
8	e	.3.		$[Pn\bar{3}m\ e]$	..2 I4xxx
12	f	2..		$[Im\bar{3}m\ e]$	I6z
12	g	2..		$[Im\bar{3}\ e]$	$[.3.\ J^{*}2x]$
24	h	1	^*	$[Pn\bar{3}\ h]$	n.. I6z2xy

202 $[{\bi F}{\bi m}\bar{\bf 3}]$
4	a	$[m\bar{3}.]$		$[Fm\bar{3}m\ a]$	F
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ F]$
8	c	23.		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
24	d			$[Pm\bar{3}m\ c]$	$[J_{2}]$
24	e	mm2..		$[Fm\bar{3}m\ e]$	F6z
32	f	.3.		$[Fm\bar{3}m\ f]$	F8xxx
48	g	2..		$[Pm\bar{3}m\ e]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}6z]$
48	h	m..	^*	$[Fm\bar{3}\ h]$	F6z2x
96	i	1	^*	$[Fm\bar{3}\ i]$	F6z2x2y

203 $[{\bi Fd}\bar{\bf 3}]$
8	a	23.		$[Fd\bar{3}m\ a]$	D
8	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ D]$
16	c	$[.\bar{3}.]$		$[Fd\bar{3}m\ c]$	T
16	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ T]$
32	e	.3.		$[Fd\bar{3}m\ e]$	..2 D4xxx
48	f	2..		$[Fd\bar{3}m\ f]$	D6z
96	g	1	^*	$[Fd\bar{3}\ g]$	d.. D6z2xy

204 $[{\bi I}{\bi m}\bar{\bf 3}]$
2	a	$[m\bar{3}.]$		$[Im\bar{3}m\ a]$	I
6	b	mmm..		$[Im\bar{3}m\ b]$	$[J^{*}]$
8	c	$[.\bar{3}.]$		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
12	d	mm2..		$[Im\bar{3}m\ e]$	I6z
12	e	mm2..	^*	$[Im\bar{3}\ e]$	$[.3.\ J^{*}2x]$
16	f	.3.		$[Im\bar{3}m\ f]$	I8xxx
24	g	m..	^*	$[Im\bar{3}\ g]$	I6z2x
48	h	1	^*	$[Im\bar{3}\ h]$	I6z2x2y

205 $[{\bi P}{\bi a}\bar{\bf 3}]$
4	a	$[.\bar{3}.]$		$[Fm\bar{3}m\ a]$	F
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ F]$
8	c	.3.	^*	$[Pa\bar{3}\ c]$	bc.. F2xxx
24	d	1	^*	$[Pa\bar{3}\ d]$	bc.. F6xyz

206 $[{\bi I}{\bi a}\bar{\bf 3}]$
8	a	$[.\bar{3}.]$		$[Pm\bar{3}m\ a]$	$[P_{2}]$
8	b				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
16	c	.3.	^*	$[Ia\bar{3}\ c]$	$[22..\ P_{2}2xxx]$
24	d	2..	^*	$[Ia\bar{3}\ d]$	$[.\bar{3}.\ J_{2}S^{}V^{}1x]$
48	e	1	^*	$[Ia\bar{3}\ e]$	$[22..\ P_{2}6xyz]$

207 P432
1	a	432		$[Pm\bar{3}m\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
3	c	42.2		$[Pm\bar{3}m\ c]$	J
3	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ J]$
6	e	4..		$[Pm\bar{3}m\ e]$	P6z
6	f				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P6z]$
8	g	.3.		$[Pm\bar{3}m\ g]$	P8xxx
12	h	2..		$[Pm\bar{3}m\ h]$	.3. J4x
12	i	..2		$[Pm\bar{3}m\ i]$	P12xx
12	j				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P12xx]$
24	k	1	^*	$[P432\ k]$	P6z4xy

208 $[{\bi P}{\bf 4}_{\bf 2}{\bf 32}]$
2	a	23.		$[Im\bar{3}m\ a]$	I
4	b	.32		$[Fm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	c				$[{\textstyle{3 \over 4}{3 \over 4}{3 \over 4}}\ F]$
6	d	222..		$[Im\bar{3}m\ b]$	$[J^{*}]$
6	e	2.22		$[Pm\bar{3}n\ c]$	W
6	f				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ W]$
8	g	.3.		$[Pn\bar{3}m\ e]$	..2 I4xxx
12	h	2..		$[Im\bar{3}m\ e]$	I6z
12	i	2..		$[Pm\bar{3}n\ g]$	.3. W2z
12	j				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ .3.\ W2z]$
12	k	..2	^*	$[P4_{2}32\ k]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ 4_{2}..\ F3x\bar{x}]$
12	l				$[{\textstyle{3 \over 4}{3 \over 4}{3 \over 4}}\ 4_{2}..\ F3x\bar{x}]$
24	m	1	^*	$[P4_{2}32\ m]$	..2 I6z2xy

209 F432
4	a	432		$[Fm\bar{3}m\ a]$	F
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ F]$
8	c	23.		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
24	d	2.22		$[Pm\bar{3}m\ c]$	$[J_{2}]$
24	e	4..		$[Fm\bar{3}m\ e]$	F6z
32	f	.3.		$[Fm\bar{3}m\ f]$	F8xxx
48	g	..2		$[Fm\bar{3}m\ h]$	F12xx
48	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ F12xx]$
48	i	2..		$[Pm\bar{3}m\ e]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}6z]$
96	j	1	^*	$[F432\ j]$	F6z4xy

210 $[{\bi F}{\bf 4}_{\bf 1}{\bf 32}]$
8	a	23.		$[Fd\bar{3}m\ a]$	D
8	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ D]$
16	c	.32		$[Fd\bar{3}m\ c]$	T
16	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ T]$
32	e	.3.		$[Fd\bar{3}m\ e]$	..2 D4xxx
48	f	2..		$[Fd\bar{3}m\ f]$	D6z
48	g	..2	^*	$[F4_{1}32\ g]$	$[22..\ T3x\bar{x}]$
96	h	1	^*	$[F4_{1}32\ h]$	..2 D6z2xy

211 I432
2	a	432		$[Im\bar{3}m\ a]$	I
6	b	42.2		$[Im\bar{3}m\ b]$	$[J^{*}]$
8	c	.32		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
12	d	2.22		$[Im\bar{3}m\ d]$	$[W^{*}]$
12	e	4..		$[Im\bar{3}m\ e]$	I6z
16	f	.3.		$[Im\bar{3}m\ f]$	I8xxx
24	g	2..		$[Im\bar{3}m\ g]$	$[.3.\ J^{*}4x]$
24	h	..2		$[Im\bar{3}m\ h]$	I12xx
24	i	..2	^*	$[I432\ i]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ 4..\ P_{2}3x\bar{x}]$
48	j	1	^*	$[I432\ j]$	I6z4xy

212 $[{\bi P}{\bf 4}_{\bf 3}{\bf 32}]$
4	a	.32	^*	$[P4_{3}32\ a]$	$[^{+}Y]$
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ ^{+}Y]$
8	c	.3.	^*	$[P4_{3}32\ c]$	$[4_{3}..\ ^{+}Y2xxx]$
12	d	..2	^*	$[P4_{3}32\ d]$	$[4_{3}..\ ^{ +}Y3x\bar{x}]$
24	e	1	^*	$[P4_{3}32\ e]$	$[4_{3}..\ ^{+}Y3x\bar{x}2yz]$

213 $[{\bi P}{\bf 4}_{\bf 1}{\bf 32}]$
4	a	.32	^*	$[P4_{3}32\ a]$	$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ ^{-}Y]$
4	b				$[^{-}Y]$
8	c	.3.	^*	$[P4_{3}32\ c]$	$[4_{1}..\ ^{-}Y2xxx]$
12	d	..2	^*	$[P4_{3}32\ d]$	$[4_{1}..\ ^{-}Y3x\bar{x}]$
24	e	1	^*	$[P4_{3}32\ e]$	$[4_{1}..\ ^{-}Y3x\bar{x}2yz]$

214 $[{\bi I}{\bf 4}_{\bf 1}{\bf 32}]$
8	a	.32	^*	$[I4_{1}32\ a]$	$[^{+}Y^{*}]$
8	b				$[^{-}Y^{*}]$
12	c	2.22	^*	$[I4_{1}32\ c]$	$[^{+}V]$
12	d				$[^{-}V]$
16	e	.3.	^*	$[I4_{1}32\ e]$	$[22..\ Y^{*}2xxx]$
24	f	2..	^*	$[I4_{1}32\ f]$	.3. V2z
24	h	..2	^*	$[I4_{1}32\ h]$	$[4_{3}..\ ^{+}Y^{*}3x\bar{x}]$
24	g				$[4_{1}..\ ^{-}Y^{*}3x\bar{x}]$
48	i	1	^*	$[I4_{1}32\ i]$	$[22..\ Y^{*}3x\bar{x}2yz]$

215 $[{\bi P}\bar{\bf 4}{\bf 3}{\bi m}]$
1	a	$[\bar{4}3m]$		$[Pm\bar{3}m\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
3	c	$[\bar{4}2.m]$		$[Pm\bar{3}m\ c]$	J
3	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ J]$
4	e	.3m	^*	$[P\bar{4}3m\ e]$	P4xxx
6	f	2.mm		$[Pm\bar{3}m\ e]$	P6z
6	g				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P6z]$
12	h	2..		$[Pm\bar{3}m\ h]$	.3. J4x
12	i	..m	^*	$[P\bar{4}3m\ i]$	P6z2xx
24	j	1	^*	$[P\bar{4}3m\ j]$	P6z2xx2y

216 $[{\bi F}\bar{\bf 4}{\bf 3}{\bi m}]$
4	a	$[\bar{4}3m]$		$[Fm\bar{3}m\ a]$	F
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ F]$
4	c				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	d				$[{\textstyle{3 \over 4}{3 \over 4}{3 \over 4}}\ F]$
16	e	.3m	^*	$[F\bar{4}3m\ e]$	F4xxx
24	f	2.mm		$[Fm\bar{3}m\ e]$	F6z
24	g				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F6z]$
48	h	..m	^*	$[F\bar{4}3m\ h]$	F6z2xx
96	i	1	^*	$[F\bar{4}3m\ i]$	F6z2xx2y

217 $[{\bi I}\bar{\bf 4}{\bf 3}{\bi m}]$
2	a	$[\bar{4} 3m]$		$[Im\bar{3}m\ a]$	I
6	b	$[\bar{4}2.m]$		$[Im\bar{3}m\ b]$	$[J^{*}]$
8	c	.3m	^*	$[I\bar{4}3m\ c]$	I4xxx
12	d	$[\bar{4}..]$		$[Im\bar{3}m\ d]$	$[W^{*}]$
12	e	2.mm		$[Im\bar{3}m\ e]$	I6z
24	f	2..		$[Im\bar{3}m\ g]$	$[.3.\ J^{*}4x]$
24	g	..m	^*	$[I\bar{4}3m\ g]$	I6z2xx
48	h	1	^*	$[I\bar{4}3m\ h]$	I6z2xx2y

218 $[{\bi P}\bar{\bf 4}{\bf 3}{\bi n}]$
2	a	23.		$[Im\bar{3}m\ a]$	I
6	b	222..		$[Im\bar{3}m\ b]$	$[J^{*}]$
6	c	$[\bar{4}..]$		$[Pm\bar{3}n\ c]$	$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ W]$
6	d				W
8	e	.3.		$[I\bar{4}3m\ c]$	I4xxx
12	f	2..		$[Im\bar{3}m\ e]$	I6z
12	g	2..		$[Pm\bar{3}n\ g]$	$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ .3.\ W2z]$
12	h				.3. W2z
24	i	1	^*	$[P\bar{4}3n\ i]$	..c I6z2xy

219 $[{\bi F}\bar{\bf 4}{\bf 3}{\bi c}]$
8	a	23.		$[Pm\bar{3}m\ a]$	$[P_{2}]$
8	b				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
24	c	$[\bar{4}..]$		$[Pm\bar{3}m\ c]$	$[J_{2}]$
24	d				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ J_{2}]$
32	e	.3.		$[P\bar{4}3m\ e]$	$[P_{2}4xxx]$
48	f	2..		$[Pm\bar{3}m\ e]$	$[P_{2}6z]$
48	g				$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}6z]$
96	h	1	^*	$[F\bar{4}3c\ h]$	$[..n\ P_{2}6z2xy]$

220 $[{\bi I}\bar{\bf 4}{\bf 3}{\bi d}]$
12	a	$[\bar{4}..]$	^*	$[I\bar{4}3d\ a]$	S
12	b				$[^{'}\!S]$
16	c	.3.	^*	$[I\bar{4}3d\ c]$	$[\bar{4}..\ I_{2} Y^{**}1xxx]$
24	d	2..	^*	$[I\bar{4}3d\ d]$	.3. S2z
48	e	1	^*	$[I\bar{4}3d\ e]$	.3d S4xyz

221 $[{\bi P}{\bi m}\bar{\bf 3}{\bi m}]$
1	a	$[m\bar{3}m]$	^*	$[Pm\bar{3}m\ a]$	P
1	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P]$
3	c		^*	$[Pm\bar{3}m\ c]$	J
3	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ J]$
6	e	4m.m	^*	$[Pm\bar{3}m\ e]$	P6z
6	f				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P6z]$
8	g	.3m	^*	$[Pm\bar{3}m\ g]$	P8xxx
12	h	mm2..	^*	$[Pm\bar{3}m\ h]$	.3. J4x
12	i	m.m2	^*	$[Pm\bar{3}m\ i]$	P12xx
12	j				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P12xx]$
24	k	m..	^*	$[Pm\bar{3}m\ k]$	P6z4x
24	l				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ P6z4x]$
24	m	..m	^*	$[Pm\bar{3}m\ m]$	P6z4xx
48	n	1	^*	$[Pm\bar{3}m\ n]$	P6z4x2y

222 $[{\bi P}{\bi n}\bar{\bf 3}{\bi n}]$
2	a	432		$[Im\bar{3}m\ a]$	I
6	b	42.2		$[Im\bar{3}m\ b]$	$[J^{*}]$
8	c	$[.\bar{3}.]$		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
12	d	$[\bar{4}..]$		$[Im\bar{3}m\ d]$	$[W^{*}]$
12	e	4..		$[Im\bar{3}m\ e]$	I6z
16	f	.3.		$[Im\bar{3}m\ f]$	I8xxx
24	g	2..		$[Im\bar{3}m\ g]$	$[.3.\ J^{*}4x]$
24	h	..2		$[Im\bar{3}m\ h]$	I12xx
48	i	1	^*	$[Pn\bar{3}n\ i]$	n.. I6z4xy

223 $[{\bi P}{\bi m}\bar{\bf 3}{\bi n}]$
2	a	$[m\bar{3}.]$		$[Im\bar{3}m\ a]$	I
6	b	mmm..		$[Im\bar{3}m\ b]$	$[J^{*}]$
6	c	$[\bar{4}m.2]$	^*	$[Pm\bar{3}n\ c]$	W
6	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ W]$
8	e	.32		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
12	f	mm2..		$[Im\bar{3}m\ e]$	I6z
12	g	mm2..	^*	$[Pm\bar{3}n\ g]$	.3. W2z
12	h				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ .3.\ W2z]$
16	i	.3.		$[Im\bar{3}m\ f]$	I8xxx
24	j	..2	^*	$[Pm\bar{3}n\ j]$	.3. W4xx
24	k	m..	^*	$[Pm\bar{3}n\ k]$	..2 I6z2x
48	l	1	^*	$[Pm\bar{3}n\ l]$	..2 I6z2x2y

224 $[{\bi P}{\bi n}\bar{\bf 3}{\bi m}]$
2	a	$[\bar{4}3m]$		$[Im\bar{3}m\ a]$	I
4	b	$[.\bar{3}m]$		$[Fm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ F]$
4	c				$[{\textstyle{3 \over 4}{3 \over 4}{3 \over 4}}\ F]$
6	d	$[\bar{4}2.m]$		$[Im\bar{3}m\ b]$	$[J^{*}]$
8	e	.3m	^*	$[Pn\bar{3}m\ e]$	..2 I4xxx
12	f	2.22		$[Im\bar{3}m\ d]$	$[W^{*}]$
12	g	2.mm		$[Im\bar{3}m\ e]$	I6z
24	h	2..		$[Im\bar{3}m\ g]$	$[.3.\ J^{*}4x]$
24	i	..2	^*	$[Pn\bar{3}m\ i]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ \bar{4}..\ F6x\bar{x}]$
24	j				$[{\textstyle{3 \over 4}{3 \over 4}{3 \over 4}}\ \bar{4}..\ F6x\bar{x}]$
24	k	..m	^*	$[Pn\bar{3}m\ k]$	..2 I6z2xx
48	l	1	^*	$[Pn\bar{3}m\ l]$	..2 I6z2xx2y

225 $[{\bi F}{\bi m}\bar{\bf 3}{\bi m}]$
4	a	$[m\bar{3}m]$	^*	$[Fm\bar{3}m\ a]$	F
4	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ F]$
8	c	$[\bar{4}3m]$		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
24	d	m.mm		$[Pm\bar{3}m\ c]$	$[J_{2}]$
24	e	4m.m	^*	$[Fm\bar{3}m\ e]$	F6z
32	f	.3m	^*	$[Fm\bar{3}m\ f]$	F8xxx
48	g	2.mm		$[Pm\bar{3}m\ e]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}6z]$
48	h	m.m2	^*	$[Fm\bar{3}m\ h]$	F12xx
48	i				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ F12xx]$
96	j	m..	^*	$[Fm\bar{3}m\ j]$	F6z4x
96	k	..m	^*	$[Fm\bar{3}m\ k]$	F6z4xx
192	l	1	^*	$[Fm\bar{3}m\ l]$	F6z4x2y

226 $[{\bi F}{\bi m}\bar{\bf 3}{\bi c}]$
8	a	432		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
8	b	$[m\bar{3}.]$		$[Pm\bar{3}m\ a]$	$[P_{2}]$
24	c	$[\bar{4}m.2]$		$[Pm\bar{3}m\ c]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ J_{2}]$
24	d			$[Pm\bar{3}m\ c]$	$[J_{2}]$
48	e	mm2..		$[Pm\bar{3}m\ e]$	$[P_{2}6z]$
48	f	4..		$[Pm\bar{3}m\ e]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}6z]$
64	g	.3.		$[Pm\bar{3}m\ g]$	$[P_{2}8xxx]$
96	h	..2		$[Pm\bar{3}m\ i]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}12xx]$
96	i	m..	^*	$[Fm\bar{3}c\ i]$	$[..2\ P_{2}6z2x]$
192	j	1	^*	$[Fm\bar{3}c\ j]$	$[..2\ P_{2}6z2x2y]$

227 $[{\bi F}{\bi d}\bar{\bf 3}{\bi m}]$
8	a	$[\bar{4}3m]$	^*	$[Fd\bar{3}m\ a]$	D
8	b				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ D]$
16	c	$[.\bar{3}m]$	^*	$[Fd\bar{3}m\ c]$	T
16	d				$[{\textstyle{1 \over 2}{1 \over 2}{1 \over 2}}\ T]$
32	e	.3m	^*	$[Fd\bar{3}m\ e]$	..2 D4xxx
48	f	2.mm	^*	$[Fd\bar{3}m\ f]$	D6z
96	g	..m	^*	$[Fd\bar{3}m\ g]$	..2 D6z2xx
96	h	..2	^*	$[Fd\bar{3}m\ h]$	$[\bar{4}..\ T6x\bar{x}]$
192	i	1	^*	$[Fd\bar{3}m\ i]$	..2 D6z2xx2y

228 $[{\bi F}{\bi d}\bar{\bf 3}{\bi c}]$
16	a	23.		$[Im\bar{3}m\ a]$	$[I_{2}]$
32	b	.32		$[Fm\bar{3}m\ a]$	$[{\textstyle{1 \over 8}{1 \over 8}{1 \over 8}}\ F_{2}]$
32	c	$[.\bar{3}.]$		$[Fm\bar{3}m\ a]$	$[{\textstyle{3 \over 8} {3 \over 8} {3 \over 8}}\ F_{2}]$
48	d	$[\bar{4}..]$		$[Im\bar{3}m\ b]$	$[{J^{*}}_{2}]$
64	e	.3.		$[Pn\bar{3}m\ e]$	$[(..2\ I4xxx)_{2}]$
96	f	2..		$[Im\bar{3}m\ e]$	$[I_{2}6z]$
96	g	..2	^*	$[Fd\bar{3}c\ g]$	$[{\textstyle{1 \over 8}{1 \over 8}{1 \over 8}}\ \bar{4}2..\ F_{2}3x\bar{x}]$
192	h	1	^*	$[Fd\bar{3}c\ h]$	$[d.2\ I_{2}6z2xy]$

229 $[{\bi I}{\bi m}\bar{\bf 3}{\bi m}]$
2	a	$[m\bar{3}m]$	^*	$[Im\bar{3}m\ a]$	I
6	b		^*	$[Im\bar{3}m\ b]$	$[J^{*}]$
8	c	$[.\bar{3}m]$		$[Pm\bar{3}m\ a]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ P_{2}]$
12	d	$[\bar{4}m.2]$	^*	$[Im\bar{3}m\ d]$	$[W^{*}]$
12	e	4m.m	^*	$[Im\bar{3}m\ e]$	I6z
16	f	.3m	^*	$[Im\bar{3}m\ f]$	I8xxx
24	g	mm2..	^*	$[Im\bar{3}m\ g]$	$[.3.\ J^{*}4x]$
24	h	m.m2	^*	$[Im\bar{3}m\ h]$	I12xx
48	i	..2	^*	$[Im\bar{3}m\ i]$	$[{\textstyle{1 \over 4}{1 \over 4}{1 \over 4}}\ 4..\ P_{2}6x\bar{x}]$
48	j	m..	^*	$[Im\bar{3}m\ j]$	I6z4x
48	k	..m	^*	$[Im\bar{3}m\ k]$	I6z4xx
96	l	1	^*	$[Im\bar{3}m\ l]$	I6z4x2y

230 $[{\bi I}{\bi a}\bar{\bf 3}{\bi d}]$
16	a	$[.\bar{3}.]$		$[Im\bar{3}m\ a]$	$[I_{2}]$
16	b	.32	^*	$[Ia\bar{3}d\ b]$	$[Y^{**}]$
24	c	2.22	^*	$[Ia\bar{3}d\ c]$	$[V^{*}]$
24	d	$[\bar{4}..]$	^*	$[Ia\bar{3}d\ d]$	$[S^{*}]$
32	e	.3.	^*	$[Ia\bar{3}d\ e]$	$[\bar{4}..\ Y^{**}2xxx]$
48	f	2..	^*	$[Ia\bar{3}d\ f]$	$[.3.\ S^{*}2z]$
48	g	..2	^*	$[Ia\bar{3}d\ g]$	$[\bar{4}a..\ Y^{**}3x\bar{x}]$
96	h	1	^*	$[Ia\bar{3}d\ h]$	$[\bar{4}a..\ I_{2}6xyz]$

References

Hermann, C. (1935). Gitterkomplexe/Lattice complexes/Complexes réticulaires. In Internationale Tabellen zur Bestimmung von Kristallstrukturen. 1. Band, edited by C. Hermann. Berlin: Borntraeger. [Reprint with corrections: Ann Arbor: Edwards (1944).]Google Scholar

Koch, E. & Fischer, W. (1975). Automorphismengruppen von Raumgruppen und die Zuordnung von Punktlagen zu Konfigurationslagen. Acta Cryst. A31, 88–95.Google Scholar

International Tables for Crystallography (2006). Vol. A. ch. 14.2, p. 848