✅
C15 | E | C15 | (C15)2 | C5 | (C15)4 | C3 | (C5)2 | (C15)7 | (C15)8 | (C5)3 | (C3)2 | (C15)11 | (C5)4 | (C15)13 | (C15)14 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | 1 | 1 | 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* |
ε7* ε7* |
ε7* ε7* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
E2* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
E3* | 1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
E4* | 1 1 |
ε4* ε4* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε4* ε4* |
E5* | 1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
E6* | 1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
E7* | 1 1 |
ε7* ε7* |
ε* ε* |
ε6* ε6* |
ε2* ε2* |
ε5* ε5* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε5* ε5* |
ε2* ε2* |
ε6* ε6* |
ε* ε* |
ε7* ε7* |
Number of symmetry elements | h = 15 |
Number of classes, irreps | n = 15 |
Number of real-valued irreducible representations | n = 8 |
Abelian group | yes |
Optical Isomerism (Chirality) | yes |
Polar | yes |
Parity | no |