C18 | E | C18 | C9 | C6 | (C9)2 | (C18)5 | C3 | (C18)7 | (C9)4 | C2 | (C9)5 | (C18)11 | (C3)2 | (C18)13 | (C9)7 | (C6)5 | (C9)8 | (C18)17 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | 1 | 1 | 1 | 1 | 1 | 1 | 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 | 1 | -1 | 1 | -1 | 1 | -1 |
E1* | 2 | 1.8794 | 1.5321 | 1 | 0.3473 | -0.3473 | -1 | -1.5321 | -1.8794 | -2 | -1.8794 | -1.5321 | -1 | -0.3473 | 0.3473 | 1 | 1.5321 | 1.8794 |
E2* | 2 | 1.5321 | 0.3473 | -1 | -1.8794 | -1.8794 | -1 | 0.3473 | 1.5321 | 2 | 1.5321 | 0.3473 | -1 | -1.8794 | -1.8794 | -1 | 0.3473 | 1.5321 |
E3* | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 1 | -1 | -2 | -1 | 1 |
E4* | 2 | 0.3473 | -1.8794 | -1 | 1.5321 | 1.5321 | -1 | -1.8794 | 0.3473 | 2 | 0.3473 | -1.8794 | -1 | 1.5321 | 1.5321 | -1 | -1.8794 | 0.3473 |
E5* | 2 | -0.3473 | -1.8794 | 1 | 1.5321 | -1.5321 | -1 | 1.8794 | 0.3473 | -2 | 0.3473 | 1.8794 | -1 | -1.5321 | 1.5321 | 1 | -1.8794 | -0.3473 |
E6* | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 |
E7* | 2 | -1.5321 | 0.3473 | 1 | -1.8794 | 1.8794 | -1 | -0.3473 | 1.5321 | -2 | 1.5321 | -0.3473 | -1 | 1.8794 | -1.8794 | 1 | 0.3473 | -1.5321 |
E8* | 2 | -1.8794 | 1.5321 | -1 | 0.3473 | 0.3473 | -1 | 1.5321 | -1.8794 | 2 | -1.8794 | 1.5321 | -1 | 0.3473 | 0.3473 | -1 | 1.5321 | -1.8794 |
Number of symmetry elements | h = 18 |
Number of classes, irreps | n = 18 |
Number of real-valued irreducible representations | n = 10 |
Abelian group | yes |
Optical Isomerism (Chirality) | yes |
Polar | yes |
Parity | no |