D28h | E | 2C28 | 2C14 | 2(C28)3 | 2C7 | 2(C28)5 | 2(C14)3 | 2C4 | 2(C7)2 | 2(C28)9 | 2(C14)5 | 2(C28)11 | 2(C7)3 | 2(C28)13 | C2 | 14C'2 | 14C''2 | i | 2(S28)13 | 2(S7)3 | 2(S28)11 | 2(S14)5 | 2(S28)9 | 2(S7)5 | 2S4 | 2(S14)3 | 2(S28)5 | 2S7 | 2(S28)3 | 2S14 | 2S28 | σh | 14σv | 14σd |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 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 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 |
B1g | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 |
B2g | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 |
E1g | 2 | 1.9499 | 1.8019 | 1.5637 | 1.2470 | 0.8678 | 0.4450 | 0 | -0.4450 | -0.8678 | -1.2470 | -1.5637 | -1.8019 | -1.9499 | -2 | 0 | 0 | 2 | 1.9499 | 1.8019 | 1.5637 | 1.2470 | 0.8678 | 0.4450 | 0 | -0.4450 | -0.8678 | -1.2470 | -1.5637 | -1.8019 | -1.9499 | -2 | 0 | 0 |
E2g | 2 | 1.8019 | 1.2470 | 0.4450 | -0.4450 | -1.2470 | -1.8019 | -2 | -1.8019 | -1.2470 | -0.4450 | 0.4450 | 1.2470 | 1.8019 | 2 | 0 | 0 | 2 | 1.8019 | 1.2470 | 0.4450 | -0.4450 | -1.2470 | -1.8019 | -2 | -1.8019 | -1.2470 | -0.4450 | 0.4450 | 1.2470 | 1.8019 | 2 | 0 | 0 |
E3g | 2 | 1.5637 | 0.4450 | -0.8678 | -1.8019 | -1.9499 | -1.2470 | 0 | 1.2470 | 1.9499 | 1.8019 | 0.8678 | -0.4450 | -1.5637 | -2 | 0 | 0 | 2 | 1.5637 | 0.4450 | -0.8678 | -1.8019 | -1.9499 | -1.2470 | 0 | 1.2470 | 1.9499 | 1.8019 | 0.8678 | -0.4450 | -1.5637 | -2 | 0 | 0 |
E4g | 2 | 1.2470 | -0.4450 | -1.8019 | -1.8019 | -0.4450 | 1.2470 | 2 | 1.2470 | -0.4450 | -1.8019 | -1.8019 | -0.4450 | 1.2470 | 2 | 0 | 0 | 2 | 1.2470 | -0.4450 | -1.8019 | -1.8019 | -0.4450 | 1.2470 | 2 | 1.2470 | -0.4450 | -1.8019 | -1.8019 | -0.4450 | 1.2470 | 2 | 0 | 0 |
E5g | 2 | 0.8678 | -1.2470 | -1.9499 | -0.4450 | 1.5637 | 1.8019 | 0 | -1.8019 | -1.5637 | 0.4450 | 1.9499 | 1.2470 | -0.8678 | -2 | 0 | 0 | 2 | 0.8678 | -1.2470 | -1.9499 | -0.4450 | 1.5637 | 1.8019 | 0 | -1.8019 | -1.5637 | 0.4450 | 1.9499 | 1.2470 | -0.8678 | -2 | 0 | 0 |
E6g | 2 | 0.4450 | -1.8019 | -1.2470 | 1.2470 | 1.8019 | -0.4450 | -2 | -0.4450 | 1.8019 | 1.2470 | -1.2470 | -1.8019 | 0.4450 | 2 | 0 | 0 | 2 | 0.4450 | -1.8019 | -1.2470 | 1.2470 | 1.8019 | -0.4450 | -2 | -0.4450 | 1.8019 | 1.2470 | -1.2470 | -1.8019 | 0.4450 | 2 | 0 | 0 |
E7g | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 0 |
E8g | 2 | -0.4450 | -1.8019 | 1.2470 | 1.2470 | -1.8019 | -0.4450 | 2 | -0.4450 | -1.8019 | 1.2470 | 1.2470 | -1.8019 | -0.4450 | 2 | 0 | 0 | 2 | -0.4450 | -1.8019 | 1.2470 | 1.2470 | -1.8019 | -0.4450 | 2 | -0.4450 | -1.8019 | 1.2470 | 1.2470 | -1.8019 | -0.4450 | 2 | 0 | 0 |
E9g | 2 | -0.8678 | -1.2470 | 1.9499 | -0.4450 | -1.5637 | 1.8019 | 0 | -1.8019 | 1.5637 | 0.4450 | -1.9499 | 1.2470 | 0.8678 | -2 | 0 | 0 | 2 | -0.8678 | -1.2470 | 1.9499 | -0.4450 | -1.5637 | 1.8019 | 0 | -1.8019 | 1.5637 | 0.4450 | -1.9499 | 1.2470 | 0.8678 | -2 | 0 | 0 |
E10g | 2 | -1.2470 | -0.4450 | 1.8019 | -1.8019 | 0.4450 | 1.2470 | -2 | 1.2470 | 0.4450 | -1.8019 | 1.8019 | -0.4450 | -1.2470 | 2 | 0 | 0 | 2 | -1.2470 | -0.4450 | 1.8019 | -1.8019 | 0.4450 | 1.2470 | -2 | 1.2470 | 0.4450 | -1.8019 | 1.8019 | -0.4450 | -1.2470 | 2 | 0 | 0 |
E11g | 2 | -1.5637 | 0.4450 | 0.8678 | -1.8019 | 1.9499 | -1.2470 | 0 | 1.2470 | -1.9499 | 1.8019 | -0.8678 | -0.4450 | 1.5637 | -2 | 0 | 0 | 2 | -1.5637 | 0.4450 | 0.8678 | -1.8019 | 1.9499 | -1.2470 | 0 | 1.2470 | -1.9499 | 1.8019 | -0.8678 | -0.4450 | 1.5637 | -2 | 0 | 0 |
E12g | 2 | -1.8019 | 1.2470 | -0.4450 | -0.4450 | 1.2470 | -1.8019 | 2 | -1.8019 | 1.2470 | -0.4450 | -0.4450 | 1.2470 | -1.8019 | 2 | 0 | 0 | 2 | -1.8019 | 1.2470 | -0.4450 | -0.4450 | 1.2470 | -1.8019 | 2 | -1.8019 | 1.2470 | -0.4450 | -0.4450 | 1.2470 | -1.8019 | 2 | 0 | 0 |
E13g | 2 | -1.9499 | 1.8019 | -1.5637 | 1.2470 | -0.8678 | 0.4450 | 0 | -0.4450 | 0.8678 | -1.2470 | 1.5637 | -1.8019 | 1.9499 | -2 | 0 | 0 | 2 | -1.9499 | 1.8019 | -1.5637 | 1.2470 | -0.8678 | 0.4450 | 0 | -0.4450 | 0.8678 | -1.2470 | 1.5637 | -1.8019 | 1.9499 | -2 | 0 | 0 |
A1u | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 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 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 |
B1u | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 |
B2u | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 |
E1u | 2 | 1.9499 | 1.8019 | 1.5637 | 1.2470 | 0.8678 | 0.4450 | 0 | -0.4450 | -0.8678 | -1.2470 | -1.5637 | -1.8019 | -1.9499 | -2 | 0 | 0 | -2 | -1.9499 | -1.8019 | -1.5637 | -1.2470 | -0.8678 | -0.4450 | 0 | 0.4450 | 0.8678 | 1.2470 | 1.5637 | 1.8019 | 1.9499 | 2 | 0 | 0 |
E2u | 2 | 1.8019 | 1.2470 | 0.4450 | -0.4450 | -1.2470 | -1.8019 | -2 | -1.8019 | -1.2470 | -0.4450 | 0.4450 | 1.2470 | 1.8019 | 2 | 0 | 0 | -2 | -1.8019 | -1.2470 | -0.4450 | 0.4450 | 1.2470 | 1.8019 | 2 | 1.8019 | 1.2470 | 0.4450 | -0.4450 | -1.2470 | -1.8019 | -2 | 0 | 0 |
E3u | 2 | 1.5637 | 0.4450 | -0.8678 | -1.8019 | -1.9499 | -1.2470 | 0 | 1.2470 | 1.9499 | 1.8019 | 0.8678 | -0.4450 | -1.5637 | -2 | 0 | 0 | -2 | -1.5637 | -0.4450 | 0.8678 | 1.8019 | 1.9499 | 1.2470 | 0 | -1.2470 | -1.9499 | -1.8019 | -0.8678 | 0.4450 | 1.5637 | 2 | 0 | 0 |
E4u | 2 | 1.2470 | -0.4450 | -1.8019 | -1.8019 | -0.4450 | 1.2470 | 2 | 1.2470 | -0.4450 | -1.8019 | -1.8019 | -0.4450 | 1.2470 | 2 | 0 | 0 | -2 | -1.2470 | 0.4450 | 1.8019 | 1.8019 | 0.4450 | -1.2470 | -2 | -1.2470 | 0.4450 | 1.8019 | 1.8019 | 0.4450 | -1.2470 | -2 | 0 | 0 |
E5u | 2 | 0.8678 | -1.2470 | -1.9499 | -0.4450 | 1.5637 | 1.8019 | 0 | -1.8019 | -1.5637 | 0.4450 | 1.9499 | 1.2470 | -0.8678 | -2 | 0 | 0 | -2 | -0.8678 | 1.2470 | 1.9499 | 0.4450 | -1.5637 | -1.8019 | 0 | 1.8019 | 1.5637 | -0.4450 | -1.9499 | -1.2470 | 0.8678 | 2 | 0 | 0 |
E6u | 2 | 0.4450 | -1.8019 | -1.2470 | 1.2470 | 1.8019 | -0.4450 | -2 | -0.4450 | 1.8019 | 1.2470 | -1.2470 | -1.8019 | 0.4450 | 2 | 0 | 0 | -2 | -0.4450 | 1.8019 | 1.2470 | -1.2470 | -1.8019 | 0.4450 | 2 | 0.4450 | -1.8019 | -1.2470 | 1.2470 | 1.8019 | -0.4450 | -2 | 0 | 0 |
E7u | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 2 | 0 | 0 |
E8u | 2 | -0.4450 | -1.8019 | 1.2470 | 1.2470 | -1.8019 | -0.4450 | 2 | -0.4450 | -1.8019 | 1.2470 | 1.2470 | -1.8019 | -0.4450 | 2 | 0 | 0 | -2 | 0.4450 | 1.8019 | -1.2470 | -1.2470 | 1.8019 | 0.4450 | -2 | 0.4450 | 1.8019 | -1.2470 | -1.2470 | 1.8019 | 0.4450 | -2 | 0 | 0 |
E9u | 2 | -0.8678 | -1.2470 | 1.9499 | -0.4450 | -1.5637 | 1.8019 | 0 | -1.8019 | 1.5637 | 0.4450 | -1.9499 | 1.2470 | 0.8678 | -2 | 0 | 0 | -2 | 0.8678 | 1.2470 | -1.9499 | 0.4450 | 1.5637 | -1.8019 | 0 | 1.8019 | -1.5637 | -0.4450 | 1.9499 | -1.2470 | -0.8678 | 2 | 0 | 0 |
E10u | 2 | -1.2470 | -0.4450 | 1.8019 | -1.8019 | 0.4450 | 1.2470 | -2 | 1.2470 | 0.4450 | -1.8019 | 1.8019 | -0.4450 | -1.2470 | 2 | 0 | 0 | -2 | 1.2470 | 0.4450 | -1.8019 | 1.8019 | -0.4450 | -1.2470 | 2 | -1.2470 | -0.4450 | 1.8019 | -1.8019 | 0.4450 | 1.2470 | -2 | 0 | 0 |
E11u | 2 | -1.5637 | 0.4450 | 0.8678 | -1.8019 | 1.9499 | -1.2470 | 0 | 1.2470 | -1.9499 | 1.8019 | -0.8678 | -0.4450 | 1.5637 | -2 | 0 | 0 | -2 | 1.5637 | -0.4450 | -0.8678 | 1.8019 | -1.9499 | 1.2470 | 0 | -1.2470 | 1.9499 | -1.8019 | 0.8678 | 0.4450 | -1.5637 | 2 | 0 | 0 |
E12u | 2 | -1.8019 | 1.2470 | -0.4450 | -0.4450 | 1.2470 | -1.8019 | 2 | -1.8019 | 1.2470 | -0.4450 | -0.4450 | 1.2470 | -1.8019 | 2 | 0 | 0 | -2 | 1.8019 | -1.2470 | 0.4450 | 0.4450 | -1.2470 | 1.8019 | -2 | 1.8019 | -1.2470 | 0.4450 | 0.4450 | -1.2470 | 1.8019 | -2 | 0 | 0 |
E13u | 2 | -1.9499 | 1.8019 | -1.5637 | 1.2470 | -0.8678 | 0.4450 | 0 | -0.4450 | 0.8678 | -1.2470 | 1.5637 | -1.8019 | 1.9499 | -2 | 0 | 0 | -2 | 1.9499 | -1.8019 | 1.5637 | -1.2470 | 0.8678 | -0.4450 | 0 | 0.4450 | -0.8678 | 1.2470 | -1.5637 | 1.8019 | -1.9499 | 2 | 0 | 0 |
Number of symmetry elements | h = 112 |
Number of classes, irreps | n = 34 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |