C17 | E | 2C17 | 2(C17)2 | 2(C17)3 | 2(C17)4 | 2(C17)5 | 2(C17)6 | 2(C17)7 | 2(C17)8 |
---|---|---|---|---|---|---|---|---|---|
A | 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) |
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) |
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) |
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) |
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) |
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) |
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) |
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) |
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 |