✅
C15v | E | 2C15 | 2(C15)2 | 2C5 | 2(C15)4 | 2C3 | 2(C5)2 | 2(C15)7 | 15σv |
---|---|---|---|---|---|---|---|---|---|
A1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 |
E1 | 2 | 2cos(2π/15) | 2cos(4π/15) | 2cos(2π/5) | 2cos(8π/15) | -1 | 2cos(4π/5) | 2cos(14π/15) | 0 |
E2 | 2 | 2cos(4π/15) | 2cos(8π/15) | 2cos(4π/5) | 2cos(14π/15) | -1 | 2cos(2π/5) | 2cos(2π/15) | 0 |
E3 | 2 | 2cos(2π/5) | 2cos(4π/5) | 2cos(4π/5) | 2cos(2π/5) | 2 | 2cos(2π/5) | 2cos(4π/5) | 0 |
E4 | 2 | 2cos(8π/15) | 2cos(14π/15) | 2cos(2π/5) | 2cos(2π/15) | -1 | 2cos(4π/5) | 2cos(4π/15) | 0 |
E5 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | 0 |
E6 | 2 | 2cos(4π/5) | 2cos(2π/5) | 2cos(2π/5) | 2cos(4π/5) | 2 | 2cos(4π/5) | 2cos(2π/5) | 0 |
E7 | 2 | 2cos(14π/15) | 2cos(2π/15) | 2cos(4π/5) | 2cos(4π/15) | -1 | 2cos(2π/5) | 2cos(8π/15) | 0 |
Number of symmetry elements | h = 30 |
Number of classes, irreps | n = 9 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | yes |
Parity | no |