D16d | E | 2S32 | 2C16 | 2(S32)3 | 2C8 | 2(S32)5 | 2(C16)3 | 2(S32)7 | 2C4 | 2(S32)9 | 2(C16)5 | 2(S32)11 | 2(C8)3 | 2(S32)13 | 2(C16)7 | 2(S32)15 | C2 | 16C'2 | 16σd |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 |
B1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 |
B2 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 |
E1 | 2 | 1.9616 | 1.8478 | 1.6629 | 1.4142 | 1.1111 | 0.7654 | 0.3902 | 0 | -0.3902 | -0.7654 | -1.1111 | -1.4142 | -1.6629 | -1.8478 | -1.9616 | -2 | 0 | 0 |
E2 | 2 | 1.8478 | 1.4142 | 0.7654 | 0 | -0.7654 | -1.4142 | -1.8478 | -2 | -1.8478 | -1.4142 | -0.7654 | 0 | 0.7654 | 1.4142 | 1.8478 | 2 | 0 | 0 |
E3 | 2 | 1.6629 | 0.7654 | -0.3902 | -1.4142 | -1.9616 | -1.8478 | -1.1111 | 0 | 1.1111 | 1.8478 | 1.9616 | 1.4142 | 0.3902 | -0.7654 | -1.6629 | -2 | 0 | 0 |
E4 | 2 | 1.4142 | 0 | -1.4142 | -2 | -1.4142 | 0 | 1.4142 | 2 | 1.4142 | 0 | -1.4142 | -2 | -1.4142 | 0 | 1.4142 | 2 | 0 | 0 |
E5 | 2 | 1.1111 | -0.7654 | -1.9616 | -1.4142 | 0.3902 | 1.8478 | 1.6629 | 0 | -1.6629 | -1.8478 | -0.3902 | 1.4142 | 1.9616 | 0.7654 | -1.1111 | -2 | 0 | 0 |
E6 | 2 | 0.7654 | -1.4142 | -1.8478 | 0 | 1.8478 | 1.4142 | -0.7654 | -2 | -0.7654 | 1.4142 | 1.8478 | 0 | -1.8478 | -1.4142 | 0.7654 | 2 | 0 | 0 |
E7 | 2 | 0.3902 | -1.8478 | -1.1111 | 1.4142 | 1.6629 | -0.7654 | -1.9616 | 0 | 1.9616 | 0.7654 | -1.6629 | -1.4142 | 1.1111 | 1.8478 | -0.3902 | -2 | 0 | 0 |
E8 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | 0 |
E9 | 2 | -0.3902 | -1.8478 | 1.1111 | 1.4142 | -1.6629 | -0.7654 | 1.9616 | 0 | -1.9616 | 0.7654 | 1.6629 | -1.4142 | -1.1111 | 1.8478 | 0.3902 | -2 | 0 | 0 |
E10 | 2 | -0.7654 | -1.4142 | 1.8478 | 0 | -1.8478 | 1.4142 | 0.7654 | -2 | 0.7654 | 1.4142 | -1.8478 | 0 | 1.8478 | -1.4142 | -0.7654 | 2 | 0 | 0 |
E11 | 2 | -1.1111 | -0.7654 | 1.9616 | -1.4142 | -0.3902 | 1.8478 | -1.6629 | 0 | 1.6629 | -1.8478 | 0.3902 | 1.4142 | -1.9616 | 0.7654 | 1.1111 | -2 | 0 | 0 |
E12 | 2 | -1.4142 | 0 | 1.4142 | -2 | 1.4142 | 0 | -1.4142 | 2 | -1.4142 | 0 | 1.4142 | -2 | 1.4142 | 0 | -1.4142 | 2 | 0 | 0 |
E13 | 2 | -1.6629 | 0.7654 | 0.3902 | -1.4142 | 1.9616 | -1.8478 | 1.1111 | 0 | -1.1111 | 1.8478 | -1.9616 | 1.4142 | -0.3902 | -0.7654 | 1.6629 | -2 | 0 | 0 |
E14 | 2 | -1.8478 | 1.4142 | -0.7654 | 0 | 0.7654 | -1.4142 | 1.8478 | -2 | 1.8478 | -1.4142 | 0.7654 | 0 | -0.7654 | 1.4142 | -1.8478 | 2 | 0 | 0 |
E15 | 2 | -1.9616 | 1.8478 | -1.6629 | 1.4142 | -1.1111 | 0.7654 | -0.3902 | 0 | 0.3902 | -0.7654 | 1.1111 | -1.4142 | 1.6629 | -1.8478 | 1.9616 | -2 | 0 | 0 |
Number of symmetry elements | h = 64 |
Number of classes, irreps | n = 19 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | no |