Origin at -1 at ban, at -1/4, -1/4, 0 from 222

Asymmetric unit

0 ≤ x ≤ 1/4; 0 ≤ y ≤ 1; 0 ≤ z

(1)  1	(2)  2   1/4, 1/4, z	(3)  2   1/4, y, 0	(4)  2   x, 1/4, 0
(5)  -1   0, 0, 0	(6)  n(1/2, 1/2, 0)   x, y, 0	(7)  a   x, 0, z	(8)  b   0, y, z

Generators selected (1); t(1, 0, 0); t(0, 1, 0); (2); (3); (5)

Positions

Multiplicity, Wyckoff letter, Site symmetry	Coordinates	Reflection conditions
		General:
8 h 1	(1) x, y, z (2) -x + 1/2, -y + 1/2, z (3) -x + 1/2, y, -z (4) x, -y + 1/2, -z (5) -x, -y, -z (6) x + 1/2, y + 1/2, -z (7) x + 1/2, -y, z (8) -x, y + 1/2, z	hk: h + k = 2n h0: h = 2n 0k: k = 2n

		Special: as above, plus
4 g  . . 2	1/4, 3/4, z 1/4, 3/4, -z 3/4, 1/4, -z 3/4, 1/4, z	no extra conditions
4 f  . . 2	1/4, 1/4, z 1/4, 1/4, -z 3/4, 3/4, -z 3/4, 3/4, z	no extra conditions
4 e  . 2 .	1/4, y, 0 1/4, -y + 1/2, 0 3/4, -y, 0 3/4, y + 1/2, 0	no extra conditions
4 d  2 . .	x, 1/4, 0 -x + 1/2, 1/4, 0 -x, 3/4, 0 x + 1/2, 3/4, 0	no extra conditions
4 c  -1	0, 0, 0 1/2, 1/2, 0 1/2, 0, 0 0, 1/2, 0	hk: h, k = 2n
2 b  2 2 2	3/4, 1/4, 0 1/4, 3/4, 0	no extra conditions
2 a  2 2 2	1/4, 1/4, 0 3/4, 3/4, 0	no extra conditions

Symmetry of special projections

Along [001]   c2mm a' = a   b' = b    Origin at 1/4, 1/4, z

Along [100]   2mm a' = 1/2b    Origin at x, 0, 0

Along [010]   2mm a' = 1/2a    Origin at 0, y, 0

Maximal non-isotypic subgroups

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I	[2] pb2n (34)	1; 3; 6; 8
	[2] p2an (pb2n, 34)	1; 4; 6; 7
	[2] pba2 (25)	1; 2; 7; 8
	[2] p222 (19)	1; 2; 3; 4
	[2] p12/a1 (p2/b11, 16)	1; 3; 5; 7
	[2] p2/b11 (16)	1; 4; 5; 8
	[2] p112/n (p112/a, 7)	1; 2; 5; 6

IIa

none

IIb

none

Maximal isotypic subgroups of lowest index

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IIc	[3] pban (a' = 3a or b' = 3b) (39)

Minimal non-isotypic supergroups

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I	[2] p4/nbm (62)

II	[2] cmmm (47); [2] pmaa (b' = 1/2b) (38)

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