c2mm No. 9 c2mm

Generators selected (1); t(1, 0); t(0, 1); t(1/21/2); (2); (3)

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 (0, 0)+  (1/21/2)+  
8 f 1
(1) xy(2) -x-y(3) -xy(4) x-y

I Maximal translationengleiche subgroups


[2] c1m1 (5cm)(1; 3)+
[2] c11m (5cm)(1; 4)+ b, -a
[2] c211 (2p2)(1; 2)+ 1/2(a - b), 1/2(a + b)

II Maximal klassengleiche subgroups


[2] p2gg (8)1; 2; (3; 4) + (1/21/2)
[2] p2gm (7p2mg)1; 4; (2; 3) + (1/21/2) b, -a 1/4, 1/4
[2] p2mg (7)1; 3; (2; 4) + (1/21/2) 1/4, 1/4
[2] p2mm (6)1; 2; 3; 4

[3] a' = 3a


bracec2mm (9)<2; 3>3a, b
c2mm (9)<(2; 3) + (2, 0)>3a, b1, 0
c2mm (9)<(2; 3) + (4, 0)>3a, b2, 0

[3] b' = 3b


bracec2mm (9)<2; 3>a, 3b
c2mm (9)<3; 2 + (0, 2)>a, 3b0, 1
c2mm (9)<3; 2 + (0, 4)>a, 3b0, 2

[p] a' = pa


c2mm (9)<(2; 3) + (2u, 0)>pa, bu, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] b' = pb


c2mm (9)<3; 2 + (0, 2u)>a, pb0, u
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

I Minimal translationengleiche supergroups


[2] p4mm (11); [2] p4gm (12); [3] p6mm (17)

II Minimal non-isomorphic klassengleiche supergroups


none

[2] a' = 1/2a, b' = 1/2b  p2mm (6)








































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