Cmc21 No. 36 Cmc21 C2v12

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

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

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

I Maximal translationengleiche subgroups

[2] C1c1 (9)(1; 3)+
[2] Cm11 (8C1m1)(1; 4)+-bac
[2] C1121 (4P1121)(1; 2)+1/2(a - b), 1/2(a + b), c

II Maximal klassengleiche subgroups

[2] Pbn21 (33Pna21)1; 2; (3; 4) + (1/21/2, 0)-bac
[2] Pmn21 (31)1; 4; (2; 3) + (1/21/2, 0)0, 1/4, 0
[2] Pbc21 (29Pca21)1; 3; (2; 4) + (1/21/2, 0)-bac1/41/4, 0
[2] Pmc21 (26)1; 2; 3; 4

[3] a' = 3a

braceCmc21 (36)<2; 3>3abc
Cmc21 (36)<3; 2 + (2, 0, 0)>3abc1, 0, 0
Cmc21 (36)<3; 2 + (4, 0, 0)>3abc2, 0, 0

[3] b' = 3b

braceCmc21 (36)<2; 3>a, 3bc
Cmc21 (36)<(2; 3) + (0, 2, 0)>a, 3bc0, 1, 0
Cmc21 (36)<(2; 3) + (0, 4, 0)>a, 3bc0, 2, 0

[3] c' = 3c

Cmc21 (36)<(2; 3) + (0, 0, 1)>ab, 3c

[p] a' = pa


Cmc21 (36)<3; 2 + (2u, 0, 0)>pabcu, 0, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] b' = pb


Cmc21 (36)<(2; 3) + (0, 2u, 0)>apbc0, u, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] c' = pc


Cmc21 (36)<(2; 3) + (0, 0, p/2 - 1/2)>abpc
 prime p > 2
no conjugate subgroups

I Minimal translationengleiche supergroups

[2] Cmcm (63); [2] Cmce (64); [3] P63cm (185); [3] P63mc (186)

II Minimal non-isomorphic klassengleiche supergroups

[2] Fmm2 (42)
[2] a' = 1/2a, b' = 1/2b  Pmc21 (26); [2] c' = 1/2c  Cmm2 (35)








































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