Ima2 No. 46 Ima2 C2v22

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

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 (0, 0, 0)+  (1/21/21/2)+  
8 c 1
(1) xyz(2) -x-yz(3) x + 1/2-yz(4) -x + 1/2yz

I Maximal translationengleiche subgroups

[2] I1a1 (9C1c1)(1; 3)+-a - cba
[2] Im11 (8C1m1)(1; 4)+-b - cac 1/4, 0, 0
[2] I112 (5A112)(1; 2)+b, -a - bc

II Maximal klassengleiche subgroups

[2] Pna21 (33)1; 3; (2; 4) + (1/21/21/2)1/41/4, 0
[2] Pnc2 (30)1; 2; (3; 4) + (1/21/21/2)
[2] Pma2 (28)1; 2; 3; 4
[2] Pmc21 (26)1; 4; (2; 3) + (1/21/21/2)1/41/4, 0

[3] a' = 3a

braceIma2 (46)<2; 3 + (1, 0, 0)>3abc
Ima2 (46)<2 + (2, 0, 0); 3 + (1, 0, 0)>3abc1, 0, 0
Ima2 (46)<2 + (4, 0, 0); 3 + (1, 0, 0)>3abc2, 0, 0

[3] b' = 3b

braceIma2 (46)<2; 3>a, 3bc
Ima2 (46)<(2; 3) + (0, 2, 0)>a, 3bc0, 1, 0
Ima2 (46)<(2; 3) + (0, 4, 0)>a, 3bc0, 2, 0

[3] c' = 3c

Ima2 (46)<2; 3>ab, 3c

[p] a' = pa


Ima2 (46)<2 + (2u, 0, 0); 3 + (p/2 - 1/2, 0, 0)>pabcu, 0, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] b' = pb


Ima2 (46)<(2; 3) + (0, 2u, 0)>apbc0, u, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] c' = pc


Ima2 (46)<2; 3>abpc
 prime p > 2
no conjugate subgroups

I Minimal translationengleiche supergroups

[2] Ibam (72); [2] Imma (74)

II Minimal non-isomorphic klassengleiche supergroups

none
[2] c' = 1/2c  Cmm2 (35); [2] a' = 1/2a  Amm2 (38); [2] b' = 1/2b  Bme2 (39, Aem2)








































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