p1 1 Oblique

No. 1 p1 Patterson symmetry p2

Origin arbitrary

Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1

Symmetry operations

(1) 1

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

1 a 1 (1) x,y no conditions

Maximal non-isomorphic subgroupsI noneIIa noneIIb none

Maximal isomorphic subgroups of lowest indexIIc [2] p1 (a′ = 2a or b′ = 2b or a′ = a+b,b′ = −a+b) (1)

Minimal non-isomorphic supergroupsI [2] p2 (2); [2] pm (3); [2] pg (4); [2] cm (5); [3] p3 (13)II none

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International Tables for Crystallography (2006). Vol. A, Plane group 1, p. 92.

Copyright © 2006 International Union of Crystallography

Oblique 2 p2Patterson symmetry p2 p2 No. 2

Origin at 2

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

Symmetry operations

(1) 1 (2) 2 0,0

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

2 e 1 (1) x,y (2) x, y no conditions

Special: no extra conditions

1 d 2 12 ,

12

1 c 2 12 ,0

1 b 2 0, 12

1 a 2 0,0

Maximal non-isomorphic subgroupsI [2] p1 (1) 1

IIa noneIIb none

Maximal isomorphic subgroups of lowest indexIIc [2] p2 (a′ = 2a or b′ = 2b or a′ = a+b,b′ = −a+b) (2)

Minimal non-isomorphic supergroupsI [2] p2mm (6); [2] p2mg (7); [2] p2gg (8); [2] c2mm (9); [2] p4 (10); [3] p6 (16)II none

93

International Tables for Crystallography (2006). Vol. A, Plane group 2, p. 93.

Copyright © 2006 International Union of Crystallography

pm m Rectangular

No. 3 p1m1 Patterson symmetry p2mm

Origin on m

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

Symmetry operations

(1) 1 (2) m 0,y

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

2 c 1 (1) x,y (2) x,y no conditions

Special: no extra conditions

1 b . m . 12 ,y

1 a . m . 0,y

Maximal non-isomorphic subgroupsI [2] p1 (1) 1IIa noneIIb [2] pg (b′ = 2b) (4); [2] cm (a′ = 2a,b′ = 2b) (5)

Maximal isomorphic subgroups of lowest indexIIc [2] pm (a′ = 2a) (3); [2] pm (b′ = 2b) (3)

Minimal non-isomorphic supergroupsI [2] p2mm (6); [2] p2mg (7)

II [2] cm (5)

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International Tables for Crystallography (2006). Vol. A, Plane group 3, p. 94.

Copyright © 2006 International Union of Crystallography

Rectangular m pgPatterson symmetry p2mm p1g1 No. 4

Origin on g

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

Symmetry operations

(1) 1 (2) b 0,y

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

2 a 1 (1) x,y (2) x,y+ 12 0k: k = 2n

Maximal non-isomorphic subgroupsI [2] p1 (1) 1IIa noneIIb none

Maximal isomorphic subgroups of lowest indexIIc [2] pg (a′ = 2a) (4); [3] pg (b′ = 3b) (4)

Minimal non-isomorphic supergroupsI [2] p2mg (7); [2] p2gg (8)II [2] cm (5); [2] pm (b′ = 1

2 b) (3)

95

International Tables for Crystallography (2006). Vol. A, Plane group 4, p. 95.

Copyright © 2006 International Union of Crystallography

cm m Rectangular

No. 5 c1m1 Patterson symmetry c2mm

Origin on m

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

2

Symmetry operationsFor (0,0)+ set(1) 1 (2) m 0,y

For ( 12 ,

12 )+ set

(1) t( 12 ,

12 ) (2) b 1

4 ,y

Generators selected (1); t(1,0); t(0,1); t( 12 ,

12 ); (2)

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates

(0,0)+ ( 12 ,

12 )+

Reflection conditions

General:

4 b 1 (1) x,y (2) x,y hk: h+ k = 2nh0: h = 2n0k: k = 2n

Special: no extra conditions

2 a . m . 0,y

Maximal non-isomorphic subgroupsI [2] c1 (p1, 1) 1+IIa [2] pg (4) 1; 2 + ( 1

2 ,12 )

[2] pm (3) 1; 2IIb none

Maximal isomorphic subgroups of lowest indexIIc [3] cm (a′ = 3a) (5); [3] cm (b′ = 3b) (5)

Minimal non-isomorphic supergroupsI [2] c2mm (9); [3] p3m1 (14); [3] p31m (15)II [2] pm (a′ = 1

2 a,b′ = 12 b) (3)

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International Tables for Crystallography (2006). Vol. A, Plane group 5, p. 96.

Copyright © 2006 International Union of Crystallography

Rectangular 2mm p2mmPatterson symmetry p2mm p2mm No. 6

Origin at 2mm

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

2

Symmetry operations

(1) 1 (2) 2 0,0 (3) m 0,y (4) m x,0

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

4 i 1 (1) x,y (2) x, y (3) x,y (4) x, y no conditions

Special: no extra conditions

2 h . m . 12 ,y

12 , y

2 g . m . 0,y 0, y

2 f . . m x, 12 x, 1

2

2 e . . m x,0 x,0

1 d 2 m m 12 ,

12

1 c 2 m m 12 ,0

1 b 2 m m 0, 12

1 a 2 m m 0,0

Maximal non-isomorphic subgroupsI [2] p1m1 (pm, 3) 1; 3

[2] p11m (pm, 3) 1; 4[2] p211 (p2, 2) 1; 2

IIa noneIIb [2] p2mg (a′ = 2a) (7); [2] p2gm (b′ = 2b) (p2mg, 7); [2] c2mm (a′ = 2a,b′ = 2b) (9)

Maximal isomorphic subgroups of lowest indexIIc [2] p2mm (a′ = 2a or b′ = 2b) (6)

Minimal non-isomorphic supergroupsI [2] p4mm (11)II [2] c2mm (9)

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International Tables for Crystallography (2006). Vol. A, Plane group 6, p. 97.

Copyright © 2006 International Union of Crystallography

p2mg 2mm Rectangular

No. 7 p2mg Patterson symmetry p2mm

Origin at 21g

Asymmetric unit 0 ≤ x ≤ 14 ; 0 ≤ y ≤ 1

Symmetry operations

(1) 1 (2) 2 0,0 (3) m 14 ,y (4) a x,0

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

4 d 1 (1) x,y (2) x, y (3) x+ 12 ,y (4) x+ 1

2 , y h0: h = 2n

Special: as above, plus

2 c . m . 14 ,y

34 , y no extra conditions

2 b 2 . . 0, 12

12 ,

12 hk: h = 2n

2 a 2 . . 0,0 12 ,0 hk: h = 2n

Maximal non-isomorphic subgroupsI [2] p11g (pg, 4) 1; 4

[2] p1m1 (pm, 3) 1; 3[2] p211 (p2, 2) 1; 2

IIa none

IIb [2] p2gg (b′ = 2b) (8)

Maximal isomorphic subgroups of lowest indexIIc [2] p2mg (b′ = 2b) (7); [3] p2mg (a′ = 3a) (7)

Minimal non-isomorphic supergroupsI noneII [2] c2mm (9); [2] p2mm (a′ = 1

2 a) (6)

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International Tables for Crystallography (2006). Vol. A, Plane group 7, p. 98.

Copyright © 2006 International Union of Crystallography

Rectangular 2mm p2ggPatterson symmetry p2mm p2gg No. 8

Origin at 2

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

2

Symmetry operations

(1) 1 (2) 2 0,0 (3) b 14 ,y (4) a x, 1

4

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

4 c 1 (1) x,y (2) x, y (3) x+ 12 ,y+ 1

2 (4) x+ 12 , y+ 1

2 h0: h = 2n0k: k = 2n

Special: as above, plus

2 b 2 . . 12 ,0 0, 1

2 hk: h+ k = 2n

2 a 2 . . 0,0 12 ,

12 hk: h+ k = 2n

Maximal non-isomorphic subgroupsI [2] p1g1 (pg, 4) 1; 3

[2] p11g (pg, 4) 1; 4[2] p211 (p2, 2) 1; 2

IIa noneIIb none

Maximal isomorphic subgroups of lowest indexIIc [3] p2gg (a′ = 3a or b′ = 3b) (8)

Minimal non-isomorphic supergroupsI [2] p4gm (12)II [2] c2mm (9); [2] p2mg (a′ = 1

2 a) (7); [2] p2gm (b′ = 12 b) (p2mg, 7)

99

International Tables for Crystallography (2006). Vol. A, Plane group 8, p. 99.

Copyright © 2006 International Union of Crystallography

c2mm 2mm Rectangular

No. 9 c2mm Patterson symmetry c2mm

Origin at 2mm

Asymmetric unit 0 ≤ x ≤ 14 ; 0 ≤ y ≤ 1

2

Symmetry operationsFor (0,0)+ set(1) 1 (2) 2 0,0 (3) m 0,y (4) m x,0

For ( 12 ,

12 )+ set

(1) t( 12 ,

12 ) (2) 2 1

4 ,14 (3) b 1

4 ,y (4) a x, 14

Generators selected (1); t(1,0); t(0,1); t( 12 ,

12 ); (2); (3)

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates

(0,0)+ ( 12 ,

12 )+

Reflection conditions

General:

8 f 1 (1) x,y (2) x, y (3) x,y (4) x, y hk: h+ k = 2nh0: h = 2n0k: k = 2n

Special: as above, plus

4 e . m . 0,y 0, y no extra conditions

4 d . . m x,0 x,0 no extra conditions

4 c 2 . . 14 ,

14

34 ,

14 hk: h = 2n

2 b 2 m m 0, 12 no extra conditions

2 a 2 m m 0,0 no extra conditions

Maximal non-isomorphic subgroupsI [2] c1m1 (cm, 5) (1; 3)+

[2] c11m (cm, 5) (1; 4)+[2] c211 (p2, 2) (1; 2)+

IIa [2] p2gg (8) 1; 2; (3; 4) + ( 12 ,

12 )

[2] p2gm (p2mg, 7) 1; 4; (2; 3) + ( 12 ,

12 )

[2] p2mg (7) 1; 3; (2; 4) + ( 12 ,

12 )

[2] p2mm (6) 1; 2; 3; 4

IIb none

Maximal isomorphic subgroups of lowest indexIIc [3] c2mm (a′ = 3a or b′ = 3b) (9)

Minimal non-isomorphic supergroupsI [2] p4mm (11); [2] p4gm (12); [3] p6mm (17)II [2] p2mm (a′ = 1

2 a,b′ = 12 b) (6)

100

International Tables for Crystallography (2006). Vol. A, Plane group 9, p. 100.

Copyright © 2006 International Union of Crystallography

Square 4 p4Patterson symmetry p4 p4 No. 10

Origin at 4

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

2

Symmetry operations

(1) 1 (2) 2 0,0 (3) 4+ 0,0 (4) 4− 0,0

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

4 d 1 (1) x,y (2) x, y (3) y,x (4) y, x no conditions

Special:

2 c 2 . . 12 ,0 0, 1

2 hk: h+ k = 2n

1 b 4 . . 12 ,

12 no extra conditions

1 a 4 . . 0,0 no extra conditions

Maximal non-isomorphic subgroupsI [2] p2 (2) 1; 2IIa none

IIb none

Maximal isomorphic subgroups of lowest indexIIc [2] c4 (a′ = 2a,b′ = 2b) (p4, 10)

Minimal non-isomorphic supergroupsI [2] p4mm (11); [2] p4gm (12)II none

101

International Tables for Crystallography (2006). Vol. A, Plane group 10, p. 101.

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p4mm 4mm Square

No. 11 p4mm Patterson symmetry p4mm

Origin at 4mm

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

2 ; x ≤ y

Symmetry operations

(1) 1 (2) 2 0,0 (3) 4+ 0,0 (4) 4− 0,0(5) m 0,y (6) m x,0 (7) m x,x (8) m x, x

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

8 g 1 (1) x,y (2) x, y (3) y,x (4) y, x(5) x,y (6) x, y (7) y,x (8) y, x

no conditions

Special:

4 f . . m x,x x, x x,x x, x no extra conditions

4 e . m . x, 12 x, 1

212 ,x

12 , x no extra conditions

4 d . m . x,0 x,0 0,x 0, x no extra conditions

2 c 2 m m . 12 ,0 0, 1

2 hk: h+ k = 2n

1 b 4 m m 12 ,

12 no extra conditions

1 a 4 m m 0,0 no extra conditions

Maximal non-isomorphic subgroupsI [2] p411 (p4, 10) 1; 2; 3; 4

[2] p21m (c2mm, 9) 1; 2; 7; 8[2] p2m1 (p2mm, 6) 1; 2; 5; 6

IIa noneIIb [2] c4mg (a′ = 2a,b′ = 2b) (p4gm, 12)

Maximal isomorphic subgroups of lowest indexIIc [2] c4mm (a′ = 2a,b′ = 2b) (p4mm, 11)

Minimal non-isomorphic supergroupsI noneII none

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International Tables for Crystallography (2006). Vol. A, Plane group 11, p. 102.

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Square 4mm p4gmPatterson symmetry p4mm p4gm No. 12

Origin at 41g

Asymmetric unit 0 ≤ x ≤ 12 ; 0 ≤ y ≤ 1

2 ; y ≤ 12 − x

Symmetry operations

(1) 1 (2) 2 0,0 (3) 4+ 0,0 (4) 4− 0,0(5) b 1

4 ,y (6) a x, 14 (7) g( 1

2 ,12 ) x,x (8) m x+ 1

2 , x

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

8 d 1 (1) x,y (2) x, y (3) y,x (4) y, x(5) x+ 1

2 ,y+ 12 (6) x+ 1

2 , y+ 12 (7) y+ 1

2 ,x+ 12 (8) y+ 1

2 , x+ 12

h0: h = 2n0k: k = 2n

Special: as above, plus

4 c . . m x,x+ 12 x, x+ 1

2 x+ 12 ,x x+ 1

2 , x no extra conditions

2 b 2 . mm 12 ,0 0, 1

2 hk: h+ k = 2n

2 a 4 . . 0,0 12 ,

12 hk: h+ k = 2n

Maximal non-isomorphic subgroupsI [2] p411 (p4, 10) 1; 2; 3; 4

[2] p21m (c2mm, 9) 1; 2; 7; 8[2] p2g1 (p2gg, 8) 1; 2; 5; 6

IIa noneIIb none

Maximal isomorphic subgroups of lowest indexIIc [9] p4gm (a′ = 3a,b′ = 3b) (12)

Minimal non-isomorphic supergroupsI noneII [2] c4gm (p4mm, 11)

103

International Tables for Crystallography (2006). Vol. A, Plane group 12, p. 103.

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p3 3 Hexagonal

No. 13 p3 Patterson symmetry p6

Origin at 3

Asymmetric unit 0 ≤ x ≤ 23 ; 0 ≤ y ≤ 2

3 ; x ≤ (1+ y)/2; y ≤ min(1− x,(1+ x)/2)Vertices 0,0 1

2 ,023 ,

13

13 ,

23 0, 1

2

Symmetry operations

(1) 1 (2) 3+ 0,0 (3) 3− 0,0

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

3 d 1 (1) x,y (2) y,x− y (3) x+ y, x no conditions

Special: no extra conditions

1 c 3 . . 23 ,

13

1 b 3 . . 13 ,

23

1 a 3 . . 0,0

Maximal non-isomorphic subgroupsI [3] p1 (1) 1IIa none

IIb none

Maximal isomorphic subgroups of lowest indexIIc [3] h3 (a′ = 3a,b′ = 3b) (p3, 13)

Minimal non-isomorphic supergroupsI [2] p3m1 (14); [2] p31m (15); [2] p6 (16)II none

104

International Tables for Crystallography (2006). Vol. A, Plane group 13, p. 104.

Copyright © 2006 International Union of Crystallography

Hexagonal 3m p3m1Patterson symmetry p6mm p3m1 No. 14

Origin at 3m1

Asymmetric unit 0 ≤ x ≤ 23 ; 0 ≤ y ≤ 2

3 ; x ≤ 2y; y ≤ min(1− x,2x)Vertices 0,0 2

3 ,13

13 ,

23

Symmetry operations

(1) 1 (2) 3+ 0,0 (3) 3− 0,0(4) m x, x (5) m x,2x (6) m 2x,x

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

6 e 1 (1) x,y (2) y,x− y (3) x+ y, x(4) y, x (5) x+ y,y (6) x,x− y

no conditions

Special: no extra conditions

3 d . m . x, x x,2x 2x, x

1 c 3 m . 23 ,

13

1 b 3 m . 13 ,

23

1 a 3 m . 0,0

Maximal non-isomorphic subgroupsI [2] p311 (p3, 13) 1; 2; 3{

[3] p1m1 (cm, 5) 1; 4[3] p1m1 (cm, 5) 1; 5[3] p1m1 (cm, 5) 1; 6

IIa noneIIb [3] h3m1 (a′ = 3a,b′ = 3b) (p31m, 15)

Maximal isomorphic subgroups of lowest indexIIc [4] p3m1 (a′ = 2a,b′ = 2b) (14)

Minimal non-isomorphic supergroupsI [2] p6mm (17)II [3] h3m1 (p31m, 15)

105

International Tables for Crystallography (2006). Vol. A, Plane group 14, p. 105.

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p31m 3m Hexagonal

No. 15 p31m Patterson symmetry p6mm

Origin at 31m

Asymmetric unit 0 ≤ x ≤ 23 ; 0 ≤ y ≤ 1

2 ; x ≤ (1+ y)/2; y ≤ min(1− x,x)Vertices 0,0 1

2 ,023 ,

13

12 ,

12

Symmetry operations

(1) 1 (2) 3+ 0,0 (3) 3− 0,0(4) m x,x (5) m x,0 (6) m 0,y

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

6 d 1 (1) x,y (2) y,x− y (3) x+ y, x(4) y,x (5) x− y, y (6) x, x+ y

no conditions

Special: no extra conditions

3 c . . m x,0 0,x x, x

2 b 3 . . 13 ,

23

23 ,

13

1 a 3 . m 0,0

Maximal non-isomorphic subgroupsI [2] p311 (p3, 13) 1; 2; 3{

[3] p11m (cm, 5) 1; 4[3] p11m (cm, 5) 1; 5[3] p11m (cm, 5) 1; 6

IIa noneIIb [3] h31m (a′ = 3a,b′ = 3b) (p3m1, 14)

Maximal isomorphic subgroups of lowest indexIIc [4] p31m (a′ = 2a,b′ = 2b) (15)

Minimal non-isomorphic supergroupsI [2] p6mm (17)II [3] h31m (p3m1, 14)

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International Tables for Crystallography (2006). Vol. A, Plane group 15, p. 106.

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Hexagonal 6 p6Patterson symmetry p6 p6 No. 16

Origin at 6

Asymmetric unit 0 ≤ x ≤ 23 ; 0 ≤ y ≤ 1

2 ; x ≤ (1+ y)/2; y ≤ min(1− x,x)Vertices 0,0 1

2 ,023 ,

13

12 ,

12

Symmetry operations

(1) 1 (2) 3+ 0,0 (3) 3− 0,0(4) 2 0,0 (5) 6− 0,0 (6) 6+ 0,0

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

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

6 d 1 (1) x,y (2) y,x− y (3) x+ y, x(4) x, y (5) y, x+ y (6) x− y,x

no conditions

Special: no extra conditions

3 c 2 . . 12 ,0 0, 1

212 ,

12

2 b 3 . . 13 ,

23

23 ,

13

1 a 6 . . 0,0

Maximal non-isomorphic subgroupsI [2] p3 (13) 1; 2; 3

[3] p2 (2) 1; 4IIa none

IIb none

Maximal isomorphic subgroups of lowest indexIIc [3] h6 (a′ = 3a,b′ = 3b) (p6, 16)

Minimal non-isomorphic supergroupsI [2] p6mm (17)II none

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International Tables for Crystallography (2006). Vol. A, Plane group 16, p. 107.

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p6mm 6mm Hexagonal

No. 17 p6mm Patterson symmetry p6mm

Origin at 6mm

Asymmetric unit 0 ≤ x ≤ 23 ; 0 ≤ y ≤ 1

3 ; x ≤ (1+ y)/2; y ≤ x/2Vertices 0,0 1

2 ,023 ,

13

Symmetry operations

(1) 1 (2) 3+ 0,0 (3) 3− 0,0(4) 2 0,0 (5) 6− 0,0 (6) 6+ 0,0(7) m x, x (8) m x,2x (9) m 2x,x

(10) m x,x (11) m x,0 (12) m 0,y

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International Tables for Crystallography (2006). Vol. A, Plane group 17, pp. 108–109.

Copyright © 2006 International Union of Crystallography

CONTINUED No. 17 p6mm

Generators selected (1); t(1,0); t(0,1); (2); (4); (7)

PositionsMultiplicity,Wyckoff letter,Site symmetry

Coordinates Reflection conditions

General:

12 f 1 (1) x,y (2) y,x− y (3) x+ y, x(4) x, y (5) y, x+ y (6) x− y,x(7) y, x (8) x+ y,y (9) x,x− y

(10) y,x (11) x− y, y (12) x, x+ y

no conditions

Special: no extra conditions

6 e . m . x, x x,2x 2x, x x,x x,2x 2x,x

6 d . . m x,0 0,x x, x x,0 0, x x,x

3 c 2 m m 12 ,0 0, 1

212 ,

12

2 b 3 m . 13 ,

23

23 ,

13

1 a 6 m m 0,0

Maximal non-isomorphic subgroupsI [2] p611 (p6, 16) 1; 2; 3; 4; 5; 6

[2] p31m (15) 1; 2; 3; 10; 11; 12[2] p3m1 (14) 1; 2; 3; 7; 8; 9{[3] p2mm (c2mm, 9) 1; 4; 7; 10[3] p2mm (c2mm, 9) 1; 4; 8; 11[3] p2mm (c2mm, 9) 1; 4; 9; 12

IIa noneIIb none

Maximal isomorphic subgroups of lowest indexIIc [3] h6mm (a′ = 3a,b′ = 3b) (p6mm, 17)

Minimal non-isomorphic supergroupsI noneII none

109