✅
C13 | E | C13 | (C13)2 | (C13)3 | (C13)4 | (C13)5 | (C13)6 | (C13)7 | (C13)8 | (C13)9 | (C13)10 | (C13)11 | (C13)12 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
E1* | 1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
ε5* ε5* |
ε6* ε6* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
E2* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
E3* | 1 1 |
ε3* ε3* |
ε6* ε6* |
ε4* ε4* |
ε* ε* |
ε2* ε2* |
ε5* ε5* |
ε5* ε5* |
ε2* ε2* |
ε* ε* |
ε4* ε4* |
ε6* ε6* |
ε3* ε3* |
E4* | 1 1 |
ε4* ε4* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε4* ε4* |
E5* | 1 1 |
ε5* ε5* |
ε3* ε3* |
ε2* ε2* |
ε6* ε6* |
ε* ε* |
ε4* ε4* |
ε4* ε4* |
ε* ε* |
ε6* ε6* |
ε2* ε2* |
ε3* ε3* |
ε5* ε5* |
E6* | 1 1 |
ε6* ε6* |
ε* ε* |
ε5* ε5* |
ε2* ε2* |
ε4* ε4* |
ε3* ε3* |
ε3* ε3* |
ε4* ε4* |
ε2* ε2* |
ε5* ε5* |
ε* ε* |
ε6* ε6* |
Number of symmetry elements | h = 13 |
Number of classes, irreps | n = 13 |
Number of real-valued irreducible representations | n = 7 |
Abelian group | yes |
Optical Isomerism (Chirality) | yes |
Polar | yes |
Parity | no |