✅
C16v | E | 2C16 | 2C8 | 2(C16)3 | 2C4 | 2(C16)5 | 2(C8)3 | 2(C16)7 | C2 | 8σv | 8σd |
---|---|---|---|---|---|---|---|---|---|---|---|
A1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 |
B1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 |
B2 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 |
E1 | 2 | 2cos(π/8) | 2cos(π/4) | 2cos(3π/8) | 0 | -2cos(3π/8) | -2cos(π/4) | -2cos(π/8) | -2 | 0 | 0 |
E2 | 2 | 2cos(π/4) | 0 | -2cos(π/4) | -2 | -2cos(π/4) | 0 | 2cos(π/4) | 2 | 0 | 0 |
E3 | 2 | 2cos(3π/8) | -2cos(π/4) | -2cos(π/8) | 0 | 2cos(π/8) | 2cos(π/4) | -2cos(3π/8) | -2 | 0 | 0 |
E4 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | 0 |
E5 | 2 | -2cos(3π/8) | -2cos(π/4) | 2cos(π/8) | 0 | -2cos(π/8) | 2cos(π/4) | 2cos(3π/8) | -2 | 0 | 0 |
E6 | 2 | -2cos(π/4) | 0 | 2cos(π/4) | -2 | 2cos(π/4) | 0 | -2cos(π/4) | 2 | 0 | 0 |
E7 | 2 | -2cos(π/8) | 2cos(π/4) | -2cos(3π/8) | 0 | 2cos(3π/8) | -2cos(π/4) | 2cos(π/8) | -2 | 0 | 0 |
Number of symmetry elements | h = 32 |
Number of classes, irreps | n = 11 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | yes |
Parity | no |