D12d | E | 2S24 | 2C12 | 2S8 | 2C6 | 2(S24)5 | 2C4 | 2(S24)7 | 2C3 | 2(S8)3 | 2(C12)5 | 2(S24)11 | C2 | 12C'2 | 12σd |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 |
B1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 |
B2 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 |
E1 | 2 | 1.9319 | 1.7321 | 1.4142 | 1 | 0.5176 | 0 | -0.5176 | -1 | -1.4142 | -1.7321 | -1.9319 | -2 | 0 | 0 |
E2 | 2 | 1.7321 | 1 | 0 | -1 | -1.7321 | -2 | -1.7321 | -1 | 0 | 1 | 1.7321 | 2 | 0 | 0 |
E3 | 2 | 1.4142 | 0 | -1.4142 | -2 | -1.4142 | 0 | 1.4142 | 2 | 1.4142 | 0 | -1.4142 | -2 | 0 | 0 |
E4 | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 0 | 0 |
E5 | 2 | 0.5176 | -1.7321 | -1.4142 | 1 | 1.9319 | 0 | -1.9319 | -1 | 1.4142 | 1.7321 | -0.5176 | -2 | 0 | 0 |
E6 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | 0 |
E7 | 2 | -0.5176 | -1.7321 | 1.4142 | 1 | -1.9319 | 0 | 1.9319 | -1 | -1.4142 | 1.7321 | 0.5176 | -2 | 0 | 0 |
E8 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | 0 | 0 |
E9 | 2 | -1.4142 | 0 | 1.4142 | -2 | 1.4142 | 0 | -1.4142 | 2 | -1.4142 | 0 | 1.4142 | -2 | 0 | 0 |
E10 | 2 | -1.7321 | 1 | 0 | -1 | 1.7321 | -2 | 1.7321 | -1 | 0 | 1 | -1.7321 | 2 | 0 | 0 |
E11 | 2 | -1.9319 | 1.7321 | -1.4142 | 1 | -0.5176 | 0 | 0.5176 | -1 | 1.4142 | -1.7321 | 1.9319 | -2 | 0 | 0 |
Number of symmetry elements | h = 48 |
Number of classes, irreps | n = 15 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | no |