D19d | E | 2C19 | 2(C19)2 | 2(C19)3 | 2(C19)4 | 2(C19)5 | 2(C19)6 | 2(C19)7 | 2(C19)8 | 2(C19)9 | 19C'2 | i | 2(S38)17 | 2(S38)15 | 2(S38)13 | 2(S38)11 | 2(S38)9 | 2(S38)7 | 2(S38)5 | 2(S38)3 | 2S38 | 19σd |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 |
E1g | 2 | 1.8916 | 1.5783 | 1.0939 | 0.4910 | -0.1652 | -0.8034 | -1.3546 | -1.7589 | -1.9727 | 0 | 2 | 1.8916 | 1.5783 | 1.0939 | 0.4910 | -0.1652 | -0.8034 | -1.3546 | -1.7589 | -1.9727 | 0 |
E2g | 2 | 1.5783 | 0.4910 | -0.8034 | -1.7589 | -1.9727 | -1.3546 | -0.1652 | 1.0939 | 1.8916 | 0 | 2 | 1.5783 | 0.4910 | -0.8034 | -1.7589 | -1.9727 | -1.3546 | -0.1652 | 1.0939 | 1.8916 | 0 |
E3g | 2 | 1.0939 | -0.8034 | -1.9727 | -1.3546 | 0.4910 | 1.8916 | 1.5783 | -0.1652 | -1.7589 | 0 | 2 | 1.0939 | -0.8034 | -1.9727 | -1.3546 | 0.4910 | 1.8916 | 1.5783 | -0.1652 | -1.7589 | 0 |
E4g | 2 | 0.4910 | -1.7589 | -1.3546 | 1.0939 | 1.8916 | -0.1652 | -1.9727 | -0.8034 | 1.5783 | 0 | 2 | 0.4910 | -1.7589 | -1.3546 | 1.0939 | 1.8916 | -0.1652 | -1.9727 | -0.8034 | 1.5783 | 0 |
E5g | 2 | -0.1652 | -1.9727 | 0.4910 | 1.8916 | -0.8034 | -1.7589 | 1.0939 | 1.5783 | -1.3546 | 0 | 2 | -0.1652 | -1.9727 | 0.4910 | 1.8916 | -0.8034 | -1.7589 | 1.0939 | 1.5783 | -1.3546 | 0 |
E6g | 2 | -0.8034 | -1.3546 | 1.8916 | -0.1652 | -1.7589 | 1.5783 | 0.4910 | -1.9727 | 1.0939 | 0 | 2 | -0.8034 | -1.3546 | 1.8916 | -0.1652 | -1.7589 | 1.5783 | 0.4910 | -1.9727 | 1.0939 | 0 |
E7g | 2 | -1.3546 | -0.1652 | 1.5783 | -1.9727 | 1.0939 | 0.4910 | -1.7589 | 1.8916 | -0.8034 | 0 | 2 | -1.3546 | -0.1652 | 1.5783 | -1.9727 | 1.0939 | 0.4910 | -1.7589 | 1.8916 | -0.8034 | 0 |
E8g | 2 | -1.7589 | 1.0939 | -0.1652 | -0.8034 | 1.5783 | -1.9727 | 1.8916 | -1.3546 | 0.4910 | 0 | 2 | -1.7589 | 1.0939 | -0.1652 | -0.8034 | 1.5783 | -1.9727 | 1.8916 | -1.3546 | 0.4910 | 0 |
E9g | 2 | -1.9727 | 1.8916 | -1.7589 | 1.5783 | -1.3546 | 1.0939 | -0.8034 | 0.4910 | -0.1652 | 0 | 2 | -1.9727 | 1.8916 | -1.7589 | 1.5783 | -1.3546 | 1.0939 | -0.8034 | 0.4910 | -0.1652 | 0 |
A1u | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
A2u | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 |
E1u | 2 | 1.8916 | 1.5783 | 1.0939 | 0.4910 | -0.1652 | -0.8034 | -1.3546 | -1.7589 | -1.9727 | 0 | -2 | -1.8916 | -1.5783 | -1.0939 | -0.4910 | 0.1652 | 0.8034 | 1.3546 | 1.7589 | 1.9727 | 0 |
E2u | 2 | 1.5783 | 0.4910 | -0.8034 | -1.7589 | -1.9727 | -1.3546 | -0.1652 | 1.0939 | 1.8916 | 0 | -2 | -1.5783 | -0.4910 | 0.8034 | 1.7589 | 1.9727 | 1.3546 | 0.1652 | -1.0939 | -1.8916 | 0 |
E3u | 2 | 1.0939 | -0.8034 | -1.9727 | -1.3546 | 0.4910 | 1.8916 | 1.5783 | -0.1652 | -1.7589 | 0 | -2 | -1.0939 | 0.8034 | 1.9727 | 1.3546 | -0.4910 | -1.8916 | -1.5783 | 0.1652 | 1.7589 | 0 |
E4u | 2 | 0.4910 | -1.7589 | -1.3546 | 1.0939 | 1.8916 | -0.1652 | -1.9727 | -0.8034 | 1.5783 | 0 | -2 | -0.4910 | 1.7589 | 1.3546 | -1.0939 | -1.8916 | 0.1652 | 1.9727 | 0.8034 | -1.5783 | 0 |
E5u | 2 | -0.1652 | -1.9727 | 0.4910 | 1.8916 | -0.8034 | -1.7589 | 1.0939 | 1.5783 | -1.3546 | 0 | -2 | 0.1652 | 1.9727 | -0.4910 | -1.8916 | 0.8034 | 1.7589 | -1.0939 | -1.5783 | 1.3546 | 0 |
E6u | 2 | -0.8034 | -1.3546 | 1.8916 | -0.1652 | -1.7589 | 1.5783 | 0.4910 | -1.9727 | 1.0939 | 0 | -2 | 0.8034 | 1.3546 | -1.8916 | 0.1652 | 1.7589 | -1.5783 | -0.4910 | 1.9727 | -1.0939 | 0 |
E7u | 2 | -1.3546 | -0.1652 | 1.5783 | -1.9727 | 1.0939 | 0.4910 | -1.7589 | 1.8916 | -0.8034 | 0 | -2 | 1.3546 | 0.1652 | -1.5783 | 1.9727 | -1.0939 | -0.4910 | 1.7589 | -1.8916 | 0.8034 | 0 |
E8u | 2 | -1.7589 | 1.0939 | -0.1652 | -0.8034 | 1.5783 | -1.9727 | 1.8916 | -1.3546 | 0.4910 | 0 | -2 | 1.7589 | -1.0939 | 0.1652 | 0.8034 | -1.5783 | 1.9727 | -1.8916 | 1.3546 | -0.4910 | 0 |
E9u | 2 | -1.9727 | 1.8916 | -1.7589 | 1.5783 | -1.3546 | 1.0939 | -0.8034 | 0.4910 | -0.1652 | 0 | -2 | 1.9727 | -1.8916 | 1.7589 | -1.5783 | 1.3546 | -1.0939 | 0.8034 | -0.4910 | 0.1652 | 0 |
Number of symmetry elements | h = 76 |
Number of classes, irreps | n = 22 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |