Origin on 6

Asymmetric unit	0 ≤ x ≤ 2/3; 0 ≤ y ≤ 1/2; x ≤ (1 + y)/2; y ≤ min(1 - x, x)
Vertices	0, 0   1/2, 0   2/3, 1/3   1/2, 1/2

(1)  1	(2)  3+   0, 0, z	(3)  3-   0, 0, z
(4)  2   0, 0, z	(5)  6-   0, 0, z	(6)  6+   0, 0, z

Generators selected (1); t(1, 0, 0); t(0, 1, 0); (2); (4)

Positions

Multiplicity, Wyckoff letter, Site symmetry	Coordinates	Reflection conditions
		General:
6 d 1	(1) x, y, z (2) -y, x - y, z (3) -x + y, -x, z (4) -x, -y, z (5) y, -x + y, z (6) x - y, x, z	no conditions

		Special: no extra conditions
3 c  2 . .	1/2, 0, z 0, 1/2, z 1/2, 1/2, z
2 b  3 . .	1/3, 2/3, z 2/3, 1/3, z
1 a  6 . .	0, 0, z

Symmetry of special projections

Along [001]   p6 a' = a   b' = b    Origin at 0, 0, z

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

Along [210]   1m1 a' = 1/2b    Origin at x, 1/2x, 0

Maximal non-isotypic subgroups

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I	[2] p3 (65)	1; 2; 3
	[3] p211 (p112, 3)	1; 4

IIa

none

IIb

none

Maximal isotypic subgroups of lowest index

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IIc	[3] h6 (a' = 3a, b' = 3b) (p6, 73)

Minimal non-isotypic supergroups

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I	[2] p6/m (75); [2] p622 (76); [2] p6mm (77)

II

none

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