Cmm2 No. 35 Cmm2 C2v11

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 f 1
(1) xyz(2) -x-yz(3) x-yz(4) -xyz

I Maximal translationengleiche subgroups

[2] C1m1 (8)(1; 3)+
[2] Cm11 (8C1m1)(1; 4)+-bac
[2] C112 (3P112)(1; 2)+1/2(a - b), 1/2(a + b), c

II Maximal klassengleiche subgroups

[2] Pba2 (32)1; 2; (3; 4) + (1/21/2, 0)
[2] Pbm2 (28Pma2)1; 3; (2; 4) + (1/21/2, 0)-bac1/41/4, 0
[2] Pma2 (28)1; 4; (2; 3) + (1/21/2, 0)1/41/4, 0
[2] Pmm2 (25)1; 2; 3; 4

[2] c' = 2c

Ima2 (46)<(2; 3) + (0, 0, 1)>ab, 2c1/41/4, 0
Ibm2 (46, Ima2)<3; 2 + (0, 0, 1)>-ba, 2c1/41/4, 0
Iba2 (45)<2; 3 + (0, 0, 1)>ab, 2c
Imm2 (44)<2; 3>ab, 2c
Ccc2 (37)<2; 3 + (0, 0, 1)>ab, 2c
Cmc21 (36)<(2; 3) + (0, 0, 1)>ab, 2c
Ccm21 (36, Cmc21)<3; 2 + (0, 0, 1)>-ba, 2c
Cmm2 (35)<2; 3>ab, 2c

[3] a' = 3a

braceCmm2 (35)<2; 3>3abc
Cmm2 (35)<3; 2 + (2, 0, 0)>3abc1, 0, 0
Cmm2 (35)<3; 2 + (4, 0, 0)>3abc2, 0, 0

[3] b' = 3b

braceCmm2 (35)<2; 3>a, 3bc
Cmm2 (35)<(2; 3) + (0, 2, 0)>a, 3bc0, 1, 0
Cmm2 (35)<(2; 3) + (0, 4, 0)>a, 3bc0, 2, 0

[3] c' = 3c

Cmm2 (35)<2; 3>ab, 3c

[p] a' = pa


Cmm2 (35)<3; 2 + (2u, 0, 0)>pabcu, 0, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] b' = pb


Cmm2 (35)<(2; 3) + (0, 2u, 0)>apbc0, u, 0
 prime p > 2; 0 ≤ u < p
p conjugate subgroups

[p] c' = pc


Cmm2 (35)<2; 3>abpc
 p prime
no conjugate subgroups

I Minimal translationengleiche supergroups

[2] Cmmm (65); [2] Cmme (67); [2] P4mm (99); [2] P4bm (100); [2] P42cm (101); [2] P42nm (102); [2] P-42m (111); [2] P-421m (113); [3] P6mm (183)

II Minimal non-isomorphic klassengleiche supergroups

[2] Fmm2 (42)
[2] a' = 1/2a, b' = 1/2b  Pmm2 (25)








































to end of page
to top of page