C11h | E | C11 | (C11)2 | (C11)3 | (C11)4 | (C11)5 | (C11)6 | (C11)7 | (C11)8 | (C11)9 | (C11)10 | σh | S11 | (S11)13 | (S11)3 | (S11)15 | (S11)5 | (S11)17 | (S11)7 | (S11)19 | (S11)9 | (S11)21 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A' | 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 | 2cos(2π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(10π/11) | 2cos(8π/11) | 2cos(6π/11) | 2cos(4π/11) | 2cos(2π/11) | 2 | 2cos(2π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(10π/11) | 2cos(8π/11) | 2cos(6π/11) | 2cos(4π/11) | 2cos(2π/11) |
E'2* | 2 | 2cos(4π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(2π/11) | 2cos(6π/11) | 2cos(10π/11) | 2cos(8π/11) | 2cos(4π/11) | 2 | 2cos(4π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(2π/11) | 2cos(6π/11) | 2cos(10π/11) | 2cos(8π/11) | 2cos(4π/11) |
E'3* | 2 | 2cos(6π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(8π/11) | 2cos(2π/11) | 2cos(4π/11) | 2cos(10π/11) | 2cos(6π/11) | 2 | 2cos(6π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(8π/11) | 2cos(2π/11) | 2cos(4π/11) | 2cos(10π/11) | 2cos(6π/11) |
E'4* | 2 | 2cos(8π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(4π/11) | 2cos(10π/11) | 2cos(2π/11) | 2cos(6π/11) | 2cos(8π/11) | 2 | 2cos(8π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(4π/11) | 2cos(10π/11) | 2cos(2π/11) | 2cos(6π/11) | 2cos(8π/11) |
E'5* | 2 | 2cos(10π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(6π/11) | 2cos(4π/11) | 2cos(8π/11) | 2cos(2π/11) | 2cos(10π/11) | 2 | 2cos(10π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(6π/11) | 2cos(4π/11) | 2cos(8π/11) | 2cos(2π/11) | 2cos(10π/11) |
A'' | 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 | 2cos(2π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(10π/11) | 2cos(8π/11) | 2cos(6π/11) | 2cos(4π/11) | 2cos(2π/11) | -2 | -2cos(2π/11) | -2cos(4π/11) | -2cos(6π/11) | -2cos(8π/11) | -2cos(10π/11) | -2cos(10π/11) | -2cos(8π/11) | -2cos(6π/11) | -2cos(4π/11) | -2cos(2π/11) |
E''2* | 2 | 2cos(4π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(2π/11) | 2cos(6π/11) | 2cos(10π/11) | 2cos(8π/11) | 2cos(4π/11) | -2 | -2cos(4π/11) | -2cos(8π/11) | -2cos(10π/11) | -2cos(6π/11) | -2cos(2π/11) | -2cos(2π/11) | -2cos(6π/11) | -2cos(10π/11) | -2cos(8π/11) | -2cos(4π/11) |
E''3* | 2 | 2cos(6π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(8π/11) | 2cos(2π/11) | 2cos(4π/11) | 2cos(10π/11) | 2cos(6π/11) | -2 | -2cos(6π/11) | -2cos(10π/11) | -2cos(4π/11) | -2cos(2π/11) | -2cos(8π/11) | -2cos(8π/11) | -2cos(2π/11) | -2cos(4π/11) | -2cos(10π/11) | -2cos(6π/11) |
E''4* | 2 | 2cos(8π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(4π/11) | 2cos(10π/11) | 2cos(2π/11) | 2cos(6π/11) | 2cos(8π/11) | -2 | -2cos(8π/11) | -2cos(6π/11) | -2cos(2π/11) | -2cos(10π/11) | -2cos(4π/11) | -2cos(4π/11) | -2cos(10π/11) | -2cos(2π/11) | -2cos(6π/11) | -2cos(8π/11) |
E''5* | 2 | 2cos(10π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(6π/11) | 2cos(4π/11) | 2cos(8π/11) | 2cos(2π/11) | 2cos(10π/11) | -2 | -2cos(10π/11) | -2cos(2π/11) | -2cos(8π/11) | -2cos(4π/11) | -2cos(6π/11) | -2cos(6π/11) | -2cos(4π/11) | -2cos(8π/11) | -2cos(2π/11) | -2cos(10π/11) |
Number of symmetry elements | h = 22 |
Number of classes, irreps | n = 22 |
Number of real-valued irreducible representations | n = 12 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | no |