C12h | E | 2C12 | 2C6 | 2C4 | 2C3 | 2(C12)5 | C2 | i | 2(S12)5 | 2S3 | 2S4 | 2S6 | 2S12 | σh |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Bg | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 |
E1g* | 2 | 1.7321 | 1 | 0 | -1 | -1.7321 | -2 | 2 | 1.7321 | 1 | 0 | -1 | -1.7321 | -2 |
E2g* | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 2 | 1 | -1 | -2 | -1 | 1 | 2 |
E3g* | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 2 | 0 | -2 | 0 | 2 | 0 | -2 |
E4g* | 2 | -1 | -1 | 2 | -1 | -1 | 2 | 2 | -1 | -1 | 2 | -1 | -1 | 2 |
E5g* | 2 | -1.7321 | 1 | 0 | -1 | 1.7321 | -2 | 2 | -1.7321 | 1 | 0 | -1 | 1.7321 | -2 |
Au | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
Bu | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 |
E1u* | 2 | 1.7321 | 1 | 0 | -1 | -1.7321 | -2 | -2 | -1.7321 | -1 | 0 | 1 | 1.7321 | 2 |
E2u* | 2 | 1 | -1 | -2 | -1 | 1 | 2 | -2 | -1 | 1 | 2 | 1 | -1 | -2 |
E3u* | 2 | 0 | -2 | 0 | 2 | 0 | -2 | -2 | 0 | 2 | 0 | -2 | 0 | 2 |
E4u* | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -2 | 1 | 1 | -2 | 1 | 1 | -2 |
E5u* | 2 | -1.7321 | 1 | 0 | -1 | 1.7321 | -2 | -2 | 1.7321 | -1 | 0 | 1 | -1.7321 | 2 |
Number of symmetry elements | h = 24 |
Number of classes, irreps | n = 24 |
Number of real-valued irreducible representations | n = 14 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |