I-42m No. 121 I-42m D2d11

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/21/21/2); (2); (3); (5)

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 (0, 0, 0)+  (1/21/21/2)+  
16 j 1
(1) xyz(2) -x-yz(3) y-x-z(4) -yx-z
(5) -xy-z(6) x-y-z(7) -y-xz(8) yxz

I Maximal translationengleiche subgroups

[2] I-411 (82I-4)(1; 2; 3; 4)+
[2] I21m (42Fmm2)(1; 2; 7; 8)+a - ba + bc
[2] I221 (23I222)(1; 2; 5; 6)+

II Maximal klassengleiche subgroups

[2] P-421c (114)1; 2; 3; 4; (5; 6; 7; 8) + (1/21/21/2)
[2] P-421m (113)1; 2; 7; 8; (3; 4; 5; 6) + (1/21/21/2)0, 1/21/4
[2] P-42c (112)1; 2; 5; 6; (3; 4; 7; 8) + (1/21/21/2)0, 1/21/4
[2] P-42m (111)1; 2; 3; 4; 5; 6; 7; 8

[3] c' = 3c

braceI-42m (121)<2; 3; 5>ab, 3c
I-42m (121)<2; (3; 5) + (0, 0, 2)>ab, 3c0, 0, 1
I-42m (121)<2; (3; 5) + (0, 0, 4)>ab, 3c0, 0, 2

[p] c' = pc


I-42m (121)<2; (3; 5) + (0, 0, 2u)>abpc0, 0, u
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p2] a' = pa, b' = pb


I-42m (121)<2 + (2u, 2v, 0); 3 + (u - vu + v, 0); 5 + (2u, 0, 0)>papbcuv, 0
 prime p > 2; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups

I Minimal translationengleiche supergroups

[2] I4/mmm (139); [2] I4/mcm (140); [3] I-43m (217)

II Minimal non-isomorphic klassengleiche supergroups

none
[2] c' = 1/2c  C-42m (115, P-4m2)








































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