D19h | 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 | σh | 2S19 | 2(S19)17 | 2(S19)3 | 2(S19)15 | 2(S19)5 | 2(S19)13 | 2(S19)7 | 2(S19)11 | 2(S19)9 | 19σv |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A'1 | 1 | 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 | 1 | -1 |
E'1 | 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 |
E'2 | 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 |
E'3 | 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 |
E'4 | 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 |
E'5 | 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 |
E'6 | 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 |
E'7 | 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 |
E'8 | 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 |
E'9 | 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 |
A''1 | 1 | 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 | -1 | 1 |
E''1 | 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 |
E''2 | 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 |
E''3 | 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 |
E''4 | 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 |
E''5 | 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 |
E''6 | 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 |
E''7 | 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 |
E''8 | 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 |
E''9 | 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 | no |