C17h | 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 | σh | S17 | (S17)19 | (S17)3 | (S17)21 | (S17)5 | (S17)23 | (S17)7 | (S17)25 | (S17)9 | (S17)27 | (S17)11 | (S17)29 | (S17)13 | (S17)31 | (S17)15 | (S17)33 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A' | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
E'1* | 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) | 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) |
E'2* | 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) | 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) |
E'3* | 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) | 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) |
E'4* | 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) | 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) |
E'5* | 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) | 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) |
E'6* | 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) | 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) |
E'7* | 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) | 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) |
E'8* | 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) | 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) |
A'' | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
E''1* | 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) | -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) |
E''2* | 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) | -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) |
E''3* | 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) | -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) |
E''4* | 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) | -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) |
E''5* | 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) | -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) |
E''6* | 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) | -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) |
E''7* | 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) | -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) |
E''8* | 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) | -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 = 34 |
Number of classes, irreps | n = 34 |
Number of real-valued irreducible representations | n = 18 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | no |