Origin on 112

Asymmetric unit

0 ≤ x ≤ 1/2; 0 ≤ y ≤ 1/2

(1)  1

(2)  2   0, 0, z

(3)  a   x, 1/4, z

(4)  b   1/4, y, z

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

Positions

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

		Special: as above, plus
2 b  . . 2	0, 1/2, z 1/2, 0, z	hk: h + k = 2n
2 a  . . 2	0, 0, z 1/2, 1/2, z	hk: h + k = 2n

Symmetry of special projections

Along [001]   p2gg a' = a   b' = b    Origin at 0, 0, z

Along [100]   1m1 a' = 1/2b    Origin at x, 0, 0

Along [010]   1m1 a' = 1/2a    Origin at 0, y, 0

Maximal non-isotypic subgroups

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I	[2] p1a1 (pb11, 12)	1; 3
	[2] pb11 (12)	1; 4
	[2] p112 (3)	1; 2

IIa

none

IIb

none

Maximal isotypic subgroups of lowest index

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IIc	[3] pba2 (a' = 3a or b' = 3b) (25)

Minimal non-isotypic supergroups

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I	[2] pban (39); [2] pbaa (43); [2] pbam (44); [2] p4bm (56); [2] p-4b2 (60)

II	[2] cmm2 (26); [2] pma2 (b' = 1/2b) (24)

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