✅
C15h | E | C15 | (C15)2 | C5 | (C15)4 | C3 | (C5)2 | (C15)7 | (C15)8 | (C5)3 | (C3)2 | (C15)11 | (C5)4 | (C15)13 | (C15)14 | σh | S15 | (S15)17 | S5 | (S15)19 | S3 | (S5)7 | (S15)7 | (S15)23 | (S5)3 | (S3)5 | (S15)11 | (S5)9 | (S15)13 | (S15)29 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A' | 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 |
E'1* | 1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
ε5* ε5* |
ε6* ε6* |
ε7* ε7* |
ε7* ε7* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
ε5* ε5* |
ε6* ε6* |
ε7* ε7* |
ε7* ε7* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
E'2* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
E'3* | 1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
E'4* | 1 1 |
ε4* ε4* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε4* ε4* |
1 1 |
ε4* ε4* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε4* ε4* |
E'5* | 1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
E'6* | 1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
E'7* | 1 1 |
ε7* ε7* |
ε* ε* |
ε6* ε6* |
ε2* ε2* |
ε5* ε5* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε5* ε5* |
ε2* ε2* |
ε6* ε6* |
ε* ε* |
ε7* ε7* |
1 1 |
ε7* ε7* |
ε* ε* |
ε6* ε6* |
ε2* ε2* |
ε5* ε5* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε5* ε5* |
ε2* ε2* |
ε6* ε6* |
ε* ε* |
ε7* ε7* |
A'' | 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 |
E''1* | 1 1 |
ε* ε* |
ε2* ε2* |
ε3* ε3* |
ε4* ε4* |
ε5* ε5* |
ε6* ε6* |
ε7* ε7* |
ε7* ε7* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
-1 -1 |
-ε* -ε* |
-ε2* -ε2* |
-ε3* -ε3* |
-ε4* -ε4* |
-ε5* -ε5* |
-ε6* -ε6* |
-ε7* -ε7* |
-ε7* -ε7* |
-ε6* -ε6* |
-ε5* -ε5* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε2* -ε2* |
-ε* -ε* |
E''2* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
-1 -1 |
-ε2* -ε2* |
-ε4* -ε4* |
-ε6* -ε6* |
-ε7* -ε7* |
-ε5* -ε5* |
-ε3* -ε3* |
-ε* -ε* |
-ε* -ε* |
-ε3* -ε3* |
-ε5* -ε5* |
-ε7* -ε7* |
-ε6* -ε6* |
-ε4* -ε4* |
-ε2* -ε2* |
E''3* | 1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε6* ε6* |
ε3* ε3* |
-1 -1 |
-ε3* -ε3* |
-ε6* -ε6* |
-ε6* -ε6* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
-ε6* -ε6* |
-ε6* -ε6* |
-ε3* -ε3* |
-1 -1 |
-ε3* -ε3* |
-ε6* -ε6* |
-ε6* -ε6* |
-ε3* -ε3* |
E''4* | 1 1 |
ε4* ε4* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε4* ε4* |
-1 -1 |
-ε4* -ε4* |
-ε7* -ε7* |
-ε3* -ε3* |
-ε* -ε* |
-ε5* -ε5* |
-ε6* -ε6* |
-ε2* -ε2* |
-ε2* -ε2* |
-ε6* -ε6* |
-ε5* -ε5* |
-ε* -ε* |
-ε3* -ε3* |
-ε7* -ε7* |
-ε4* -ε4* |
E''5* | 1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε5* ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
-1 -1 |
-ε5* -ε5* |
-ε5* -ε5* |
E''6* | 1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε3* ε3* |
ε3* ε3* |
ε6* ε6* |
-1 -1 |
-ε6* -ε6* |
-ε3* -ε3* |
-ε3* -ε3* |
-ε6* -ε6* |
-1 -1 |
-ε6* -ε6* |
-ε3* -ε3* |
-ε3* -ε3* |
-ε6* -ε6* |
-1 -1 |
-ε6* -ε6* |
-ε3* -ε3* |
-ε3* -ε3* |
-ε6* -ε6* |
E''7* | 1 1 |
ε7* ε7* |
ε* ε* |
ε6* ε6* |
ε2* ε2* |
ε5* ε5* |
ε3* ε3* |
ε4* ε4* |
ε4* ε4* |
ε3* ε3* |
ε5* ε5* |
ε2* ε2* |
ε6* ε6* |
ε* ε* |
ε7* ε7* |
-1 -1 |
-ε7* -ε7* |
-ε* -ε* |
-ε6* -ε6* |
-ε2* -ε2* |
-ε5* -ε5* |
-ε3* -ε3* |
-ε4* -ε4* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε5* -ε5* |
-ε2* -ε2* |
-ε6* -ε6* |
-ε* -ε* |
-ε7* -ε7* |
Number of symmetry elements | h = 30 |
Number of classes, irreps | n = 30 |
Number of real-valued irreducible representations | n = 16 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | no |