S12 | E | S12 | C6 | S4 | C3 | (S12)5 | C2 | (S12)7 | (C3)2 | (S4)3 | (C6)5 | (S12)11 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
A | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
B | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 |
E1* | 2 | 2cos(π/6) | 1 | 0 | -1 | -2cos(π/6) | -2 | -2cos(π/6) | -1 | 0 | 1 | 2cos(π/6) |
E2* | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 1 | -1 | -2 | -1 | 1 |
E3* | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 |
E4* | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 |
E5* | 2 | -2cos(π/6) | 1 | 0 | -1 | 2cos(π/6) | -2 | 2cos(π/6) | -1 | 0 | 1 | -2cos(π/6) |
Number of symmetry elements | h = 12 |
Number of classes, irreps | n = 12 |
Number of real-valued irreducible representations | n = 7 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | no |