p2mg No. 7 p2mg

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

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 
4 d 1
(1) xy(2) -x-y(3) -x + 1/2y(4) x + 1/2-y

I Maximal translationengleiche subgroups


[2] p11g (4pg)1; 4-ba
[2] p1m1 (3pm)1; 3 1/4, 0
[2] p211 (2p2)1; 2

II Maximal klassengleiche subgroups

[2] b' = 2b


p2gg (8)<2; 3 + (0, 1)>a, 2b
p2gg (8)<(2; 3) + (0, 1)>a, 2b0, 1/2
p2mg (7)<2; 3>a, 2b
p2mg (7)<3; 2 + (0, 1)>a, 2b0, 1/2

[3] a' = 3a


bracep2mg (7)<2; 3 + (1, 0)>3a, b
p2mg (7)<2 + (2, 0); 3 + (3, 0)>3a, b1, 0
p2mg (7)<2 + (4, 0); 3 + (5, 0)>3a, b2, 0

[3] b' = 3b


bracep2mg (7)<2; 3>a, 3b
p2mg (7)<3; 2 + (0, 2)>a, 3b0, 1
p2mg (7)<3; 2 + (0, 4)>a, 3b0, 2

[p] a' = pa


p2mg (7)<2 + (2u, 0); 3 + (p/2 - 1/2 + 2u, 0)>pa, bu, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] b' = pb


p2mg (7)<3; 2 + (0, 2u)>a, pb0, u
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

I Minimal translationengleiche supergroups


none

II Minimal non-isomorphic klassengleiche supergroups


[2] c2mm (9)

[2] a' = 1/2 a  p2mm (6)








































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