✅
C18 | E | C18 | C9 | C6 | (C9)2 | (C18)5 | C3 | (C18)7 | (C9)4 | C2 | (C9)5 | (C18)11 | (C3)2 | (C18)13 | (C9)7 | (C6)5 | (C9)8 | (C18)17 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
B | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 |
E1* | 1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε2* -ε2* |
-ε* -ε* |
-1 -1 |
-ε* -ε* |
-ε2* -ε2* |
-ε3* -ε3* |
-ε4* -ε4* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
E2* | 1 1 |
ε2* ε2* |
ε4* ε4* |
-ε3* -ε3* |
-ε* -ε* |
-ε* -ε* |
-ε3* -ε3* |
ε4* ε4* |
ε2* ε2* |
1 1 |
ε2* ε2* |
ε4* ε4* |
-ε3* -ε3* |
-ε* -ε* |
-ε* -ε* |
-ε3* -ε3* |
ε4* ε4* |
ε2* ε2* |
E3* | 1 1 |
ε3* ε3* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
ε3* ε3* |
1 1 |
ε3* ε3* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
ε3* ε3* |
E4* | 1 1 |
ε4* ε4* |
-ε* -ε* |
-ε3* -ε3* |
ε2* ε2* |
ε2* ε2* |
-ε3* -ε3* |
-ε* -ε* |
ε4* ε4* |
1 1 |
ε4* ε4* |
-ε* -ε* |
-ε3* -ε3* |
ε2* ε2* |
ε2* ε2* |
-ε3* -ε3* |
-ε* -ε* |
ε4* ε4* |
E5* | 1 1 |
-ε4* -ε4* |
-ε* -ε* |
ε3* ε3* |
ε2* ε2* |
-ε2* -ε2* |
-ε3* -ε3* |
ε* ε* |
ε4* ε4* |
-1 -1 |
ε4* ε4* |
ε* ε* |
-ε3* -ε3* |
-ε2* -ε2* |
ε2* ε2* |
ε3* ε3* |
-ε* -ε* |
-ε4* -ε4* |
E6* | 1 1 |
-ε3* -ε3* |
-ε3* -ε3* |
1 1 |
-ε3* -ε3* |
-ε3* -ε3* |
1 1 |
-ε3* -ε3* |
-ε3* -ε3* |
1 1 |
-ε3* -ε3* |
-ε3* -ε3* |
1 1 |
-ε3* -ε3* |
-ε3* -ε3* |
1 1 |
-ε3* -ε3* |
-ε3* -ε3* |
E7* | 1 1 |
-ε2* -ε2* |
ε4* ε4* |
ε3* ε3* |
-ε* -ε* |
ε* ε* |
-ε3* -ε3* |
-ε4* -ε4* |
ε2* ε2* |
-1 -1 |
ε2* ε2* |
-ε4* -ε4* |
-ε3* -ε3* |
ε* ε* |
-ε* -ε* |
ε3* ε3* |
ε4* ε4* |
-ε2* -ε2* |
E8* | 1 1 |
-ε* -ε* |
ε2* ε2* |
-ε3* -ε3* |
ε4* ε4* |
ε4* ε4* |
-ε3* -ε3* |
ε2* ε2* |
-ε* -ε* |
1 1 |
-ε* -ε* |
ε2* ε2* |
-ε3* -ε3* |
ε4* ε4* |
ε4* ε4* |
-ε3* -ε3* |
ε2* ε2* |
-ε* -ε* |
Number of symmetry elements | h = 18 |
Number of classes, irreps | n = 18 |
Number of real-valued irreducible representations | n = 10 |
Abelian group | yes |
Optical Isomerism (Chirality) | yes |
Polar | yes |
Parity | no |