✅
D17h | 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 | σh | 2S17 | 2(S17)15 | 2(S17)3 | 2(S17)13 | 2(S17)5 | 2(S17)11 | 2(S17)7 | 2(S17)9 | 17σv |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A'1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A'2 | 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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
A''1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
A''2 | 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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 |
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) | 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 | no |