✅
D17d | E | 2C17 | 2(C17)2 | 2(C17)3 | 2(C17)4 | 2(C17)5 | 2(C17)6 | 2(C17)7 | 2(C17)8 | 17C'2 | i | 2(S34)15 | 2(S34)13 | 2(S34)11 | 2(S34)9 | 2(S34)7 | 2(S34)5 | 2(S34)3 | 2S34 | 17σd |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 |
E1g | 2 | 2cos(2π/17) | 2cos(4π/17) | 2cos(6π/17) | 2cos(8π/17) | 2cos(10π/17) | 2cos(12π/17) | 2cos(14π/17) | 2cos(16π/17) | 0 | 2 | 2cos(2π/17) | 2cos(4π/17) | 2cos(6π/17) | 2cos(8π/17) | 2cos(10π/17) | 2cos(12π/17) | 2cos(14π/17) | 2cos(16π/17) | 0 |
E2g | 2 | 2cos(4π/17) | 2cos(8π/17) | 2cos(12π/17) | 2cos(16π/17) | 2cos(14π/17) | 2cos(10π/17) | 2cos(6π/17) | 2cos(2π/17) | 0 | 2 | 2cos(4π/17) | 2cos(8π/17) | 2cos(12π/17) | 2cos(16π/17) | 2cos(14π/17) | 2cos(10π/17) | 2cos(6π/17) | 2cos(2π/17) | 0 |
E3g | 2 | 2cos(6π/17) | 2cos(12π/17) | 2cos(16π/17) | 2cos(10π/17) | 2cos(4π/17) | 2cos(2π/17) | 2cos(8π/17) | 2cos(14π/17) | 0 | 2 | 2cos(6π/17) | 2cos(12π/17) | 2cos(16π/17) | 2cos(10π/17) | 2cos(4π/17) | 2cos(2π/17) | 2cos(8π/17) | 2cos(14π/17) | 0 |
E4g | 2 | 2cos(8π/17) | 2cos(16π/17) | 2cos(10π/17) | 2cos(2π/17) | 2cos(6π/17) | 2cos(14π/17) | 2cos(12π/17) | 2cos(4π/17) | 0 | 2 | 2cos(8π/17) | 2cos(16π/17) | 2cos(10π/17) | 2cos(2π/17) | 2cos(6π/17) | 2cos(14π/17) | 2cos(12π/17) | 2cos(4π/17) | 0 |
E5g | 2 | 2cos(10π/17) | 2cos(14π/17) | 2cos(4π/17) | 2cos(6π/17) | 2cos(16π/17) | 2cos(8π/17) | 2cos(2π/17) | 2cos(12π/17) | 0 | 2 | 2cos(10π/17) | 2cos(14π/17) | 2cos(4π/17) | 2cos(6π/17) | 2cos(16π/17) | 2cos(8π/17) | 2cos(2π/17) | 2cos(12π/17) | 0 |
E6g | 2 | 2cos(12π/17) | 2cos(10π/17) | 2cos(2π/17) | 2cos(14π/17) | 2cos(8π/17) | 2cos(4π/17) | 2cos(16π/17) | 2cos(6π/17) | 0 | 2 | 2cos(12π/17) | 2cos(10π/17) | 2cos(2π/17) | 2cos(14π/17) | 2cos(8π/17) | 2cos(4π/17) | 2cos(16π/17) | 2cos(6π/17) | 0 |
E7g | 2 | 2cos(14π/17) | 2cos(6π/17) | 2cos(8π/17) | 2cos(12π/17) | 2cos(2π/17) | 2cos(16π/17) | 2cos(4π/17) | 2cos(10π/17) | 0 | 2 | 2cos(14π/17) | 2cos(6π/17) | 2cos(8π/17) | 2cos(12π/17) | 2cos(2π/17) | 2cos(16π/17) | 2cos(4π/17) | 2cos(10π/17) | 0 |
E8g | 2 | 2cos(16π/17) | 2cos(2π/17) | 2cos(14π/17) | 2cos(4π/17) | 2cos(12π/17) | 2cos(6π/17) | 2cos(10π/17) | 2cos(8π/17) | 0 | 2 | 2cos(16π/17) | 2cos(2π/17) | 2cos(14π/17) | 2cos(4π/17) | 2cos(12π/17) | 2cos(6π/17) | 2cos(10π/17) | 2cos(8π/17) | 0 |
A1u | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
A2u | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 |
E1u | 2 | 2cos(2π/17) | 2cos(4π/17) | 2cos(6π/17) | 2cos(8π/17) | 2cos(10π/17) | 2cos(12π/17) | 2cos(14π/17) | 2cos(16π/17) | 0 | -2 | -2cos(2π/17) | -2cos(4π/17) | -2cos(6π/17) | -2cos(8π/17) | -2cos(10π/17) | -2cos(12π/17) | -2cos(14π/17) | -2cos(16π/17) | 0 |
E2u | 2 | 2cos(4π/17) | 2cos(8π/17) | 2cos(12π/17) | 2cos(16π/17) | 2cos(14π/17) | 2cos(10π/17) | 2cos(6π/17) | 2cos(2π/17) | 0 | -2 | -2cos(4π/17) | -2cos(8π/17) | -2cos(12π/17) | -2cos(16π/17) | -2cos(14π/17) | -2cos(10π/17) | -2cos(6π/17) | -2cos(2π/17) | 0 |
E3u | 2 | 2cos(6π/17) | 2cos(12π/17) | 2cos(16π/17) | 2cos(10π/17) | 2cos(4π/17) | 2cos(2π/17) | 2cos(8π/17) | 2cos(14π/17) | 0 | -2 | -2cos(6π/17) | -2cos(12π/17) | -2cos(16π/17) | -2cos(10π/17) | -2cos(4π/17) | -2cos(2π/17) | -2cos(8π/17) | -2cos(14π/17) | 0 |
E4u | 2 | 2cos(8π/17) | 2cos(16π/17) | 2cos(10π/17) | 2cos(2π/17) | 2cos(6π/17) | 2cos(14π/17) | 2cos(12π/17) | 2cos(4π/17) | 0 | -2 | -2cos(8π/17) | -2cos(16π/17) | -2cos(10π/17) | -2cos(2π/17) | -2cos(6π/17) | -2cos(14π/17) | -2cos(12π/17) | -2cos(4π/17) | 0 |
E5u | 2 | 2cos(10π/17) | 2cos(14π/17) | 2cos(4π/17) | 2cos(6π/17) | 2cos(16π/17) | 2cos(8π/17) | 2cos(2π/17) | 2cos(12π/17) | 0 | -2 | -2cos(10π/17) | -2cos(14π/17) | -2cos(4π/17) | -2cos(6π/17) | -2cos(16π/17) | -2cos(8π/17) | -2cos(2π/17) | -2cos(12π/17) | 0 |
E6u | 2 | 2cos(12π/17) | 2cos(10π/17) | 2cos(2π/17) | 2cos(14π/17) | 2cos(8π/17) | 2cos(4π/17) | 2cos(16π/17) | 2cos(6π/17) | 0 | -2 | -2cos(12π/17) | -2cos(10π/17) | -2cos(2π/17) | -2cos(14π/17) | -2cos(8π/17) | -2cos(4π/17) | -2cos(16π/17) | -2cos(6π/17) | 0 |
E7u | 2 | 2cos(14π/17) | 2cos(6π/17) | 2cos(8π/17) | 2cos(12π/17) | 2cos(2π/17) | 2cos(16π/17) | 2cos(4π/17) | 2cos(10π/17) | 0 | -2 | -2cos(14π/17) | -2cos(6π/17) | -2cos(8π/17) | -2cos(12π/17) | -2cos(2π/17) | -2cos(16π/17) | -2cos(4π/17) | -2cos(10π/17) | 0 |
E8u | 2 | 2cos(16π/17) | 2cos(2π/17) | 2cos(14π/17) | 2cos(4π/17) | 2cos(12π/17) | 2cos(6π/17) | 2cos(10π/17) | 2cos(8π/17) | 0 | -2 | -2cos(16π/17) | -2cos(2π/17) | -2cos(14π/17) | -2cos(4π/17) | -2cos(12π/17) | -2cos(6π/17) | -2cos(10π/17) | -2cos(8π/17) | 0 |
Number of symmetry elements | h = 68 |
Number of classes, irreps | n = 20 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |