C17 | E | C17 | (C17)2 | (C17)3 | (C17)4 | (C17)5 | (C17)6 | (C17)7 | (C17)8 | (C17)9 | (C17)10 | (C17)11 | (C17)12 | (C17)13 | (C17)14 | (C17)15 | (C17)16 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
E1* | 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) | 2cos(16π/17) | 2cos(14π/17) | 2cos(12π/17) | 2cos(10π/17) | 2cos(8π/17) | 2cos(6π/17) | 2cos(4π/17) | 2cos(2π/17) |
E2* | 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) | 2cos(2π/17) | 2cos(6π/17) | 2cos(10π/17) | 2cos(14π/17) | 2cos(16π/17) | 2cos(12π/17) | 2cos(8π/17) | 2cos(4π/17) |
E3* | 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) | 2cos(14π/17) | 2cos(8π/17) | 2cos(2π/17) | 2cos(4π/17) | 2cos(10π/17) | 2cos(16π/17) | 2cos(12π/17) | 2cos(6π/17) |
E4* | 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) | 2cos(4π/17) | 2cos(12π/17) | 2cos(14π/17) | 2cos(6π/17) | 2cos(2π/17) | 2cos(10π/17) | 2cos(16π/17) | 2cos(8π/17) |
E5* | 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) | 2cos(12π/17) | 2cos(2π/17) | 2cos(8π/17) | 2cos(16π/17) | 2cos(6π/17) | 2cos(4π/17) | 2cos(14π/17) | 2cos(10π/17) |
E6* | 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) | 2cos(6π/17) | 2cos(16π/17) | 2cos(4π/17) | 2cos(8π/17) | 2cos(14π/17) | 2cos(2π/17) | 2cos(10π/17) | 2cos(12π/17) |
E7* | 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) | 2cos(10π/17) | 2cos(4π/17) | 2cos(16π/17) | 2cos(2π/17) | 2cos(12π/17) | 2cos(8π/17) | 2cos(6π/17) | 2cos(14π/17) |
E8* | 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) | 2cos(8π/17) | 2cos(10π/17) | 2cos(6π/17) | 2cos(12π/17) | 2cos(4π/17) | 2cos(14π/17) | 2cos(2π/17) | 2cos(16π/17) |
Number of symmetry elements | h = 17 |
Number of classes, irreps | n = 17 |
Number of real-valued irreducible representations | n = 9 |
Abelian group | yes |
Optical Isomerism (Chirality) | yes |
Polar | yes |
Parity | no |