✅
C19h | E | C19 | (C19)2 | (C19)3 | (C19)4 | (C19)5 | (C19)6 | (C19)7 | (C19)8 | (C19)9 | (C19)10 | (C19)11 | (C19)12 | (C19)13 | (C19)14 | (C19)15 | (C19)16 | (C19)17 | (C19)18 | σh | S19 | (S19)21 | (S19)3 | (S19)23 | (S19)5 | (S19)25 | (S19)7 | (S19)27 | (S19)9 | (S19)29 | (S19)11 | (S19)31 | (S19)13 | (S19)33 | (S19)15 | (S19)35 | (S19)17 | (S19)37 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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 | 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* |
ε8* ε8* |
ε9* ε9* |
ε9* ε9* |
ε8* ε8* |
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* |
ε8* ε8* |
ε9* ε9* |
ε9* ε9* |
ε8* ε8* |
ε7* ε7* |
ε6* ε6* |
ε5* ε5* |
ε4* ε4* |
ε3* ε3* |
ε2* ε2* |
ε* ε* |
E'2* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε8* ε8* |
ε9* ε9* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε9* ε9* |
ε8* ε8* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε8* ε8* |
ε9* ε9* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε9* ε9* |
ε8* ε8* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
E'3* | 1 1 |
ε3* ε3* |
ε6* ε6* |
ε9* ε9* |
ε7* ε7* |
ε4* ε4* |
ε* ε* |
ε2* ε2* |
ε5* ε5* |
ε8* ε8* |
ε8* ε8* |
ε5* ε5* |
ε2* ε2* |
ε* ε* |
ε4* ε4* |
ε7* ε7* |
ε9* ε9* |
ε6* ε6* |
ε3* ε3* |
1 1 |
ε3* ε3* |
ε6* ε6* |
ε9* ε9* |
ε7* ε7* |
ε4* ε4* |
ε* ε* |
ε2* ε2* |
ε5* ε5* |
ε8* ε8* |
ε8* ε8* |
ε5* ε5* |
ε2* ε2* |
ε* ε* |
ε4* ε4* |
ε7* ε7* |
ε9* ε9* |
ε6* ε6* |
ε3* ε3* |
E'4* | 1 1 |
ε4* ε4* |
ε8* ε8* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε9* ε9* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε9* ε9* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε8* ε8* |
ε4* ε4* |
1 1 |
ε4* ε4* |
ε8* ε8* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε9* ε9* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε9* ε9* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε8* ε8* |
ε4* ε4* |
E'5* | 1 1 |
ε5* ε5* |
ε9* ε9* |
ε4* ε4* |
ε* ε* |
ε6* ε6* |
ε8* ε8* |
ε3* ε3* |
ε2* ε2* |
ε7* ε7* |
ε7* ε7* |
ε2* ε2* |
ε3* ε3* |
ε8* ε8* |
ε6* ε6* |
ε* ε* |
ε4* ε4* |
ε9* ε9* |
ε5* ε5* |
1 1 |
ε5* ε5* |
ε9* ε9* |
ε4* ε4* |
ε* ε* |
ε6* ε6* |
ε8* ε8* |
ε3* ε3* |
ε2* ε2* |
ε7* ε7* |
ε7* ε7* |
ε2* ε2* |
ε3* ε3* |
ε8* ε8* |
ε6* ε6* |
ε* ε* |
ε4* ε4* |
ε9* ε9* |
ε5* ε5* |
E'6* | 1 1 |
ε6* ε6* |
ε7* ε7* |
ε* ε* |
ε5* ε5* |
ε8* ε8* |
ε2* ε2* |
ε4* ε4* |
ε9* ε9* |
ε3* ε3* |
ε3* ε3* |
ε9* ε9* |
ε4* ε4* |
ε2* ε2* |
ε8* ε8* |
ε5* ε5* |
ε* ε* |
ε7* ε7* |
ε6* ε6* |
1 1 |
ε6* ε6* |
ε7* ε7* |
ε* ε* |
ε5* ε5* |
ε8* ε8* |
ε2* ε2* |
ε4* ε4* |
ε9* ε9* |
ε3* ε3* |
ε3* ε3* |
ε9* ε9* |
ε4* ε4* |
ε2* ε2* |
ε8* ε8* |
ε5* ε5* |
ε* ε* |
ε7* ε7* |
ε6* ε6* |
E'7* | 1 1 |
ε7* ε7* |
ε5* ε5* |
ε2* ε2* |
ε9* ε9* |
ε3* ε3* |
ε4* ε4* |
ε8* ε8* |
ε* ε* |
ε6* ε6* |
ε6* ε6* |
ε* ε* |
ε8* ε8* |
ε4* ε4* |
ε3* ε3* |
ε9* ε9* |
ε2* ε2* |
ε5* ε5* |
ε7* ε7* |
1 1 |
ε7* ε7* |
ε5* ε5* |
ε2* ε2* |
ε9* ε9* |
ε3* ε3* |
ε4* ε4* |
ε8* ε8* |
ε* ε* |
ε6* ε6* |
ε6* ε6* |
ε* ε* |
ε8* ε8* |
ε4* ε4* |
ε3* ε3* |
ε9* ε9* |
ε2* ε2* |
ε5* ε5* |
ε7* ε7* |
E'8* | 1 1 |
ε8* ε8* |
ε3* ε3* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε9* ε9* |
ε* ε* |
ε7* ε7* |
ε4* ε4* |
ε4* ε4* |
ε7* ε7* |
ε* ε* |
ε9* ε9* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε3* ε3* |
ε8* ε8* |
1 1 |
ε8* ε8* |
ε3* ε3* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε9* ε9* |
ε* ε* |
ε7* ε7* |
ε4* ε4* |
ε4* ε4* |
ε7* ε7* |
ε* ε* |
ε9* ε9* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε3* ε3* |
ε8* ε8* |
E'9* | 1 1 |
ε9* ε9* |
ε* ε* |
ε8* ε8* |
ε2* ε2* |
ε7* ε7* |
ε3* ε3* |
ε6* ε6* |
ε4* ε4* |
ε5* ε5* |
ε5* ε5* |
ε4* ε4* |
ε6* ε6* |
ε3* ε3* |
ε7* ε7* |
ε2* ε2* |
ε8* ε8* |
ε* ε* |
ε9* ε9* |
1 1 |
ε9* ε9* |
ε* ε* |
ε8* ε8* |
ε2* ε2* |
ε7* ε7* |
ε3* ε3* |
ε6* ε6* |
ε4* ε4* |
ε5* ε5* |
ε5* ε5* |
ε4* ε4* |
ε6* ε6* |
ε3* ε3* |
ε7* ε7* |
ε2* ε2* |
ε8* ε8* |
ε* ε* |
ε9* ε9* |
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 | -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* |
ε8* ε8* |
ε9* ε9* |
ε9* ε9* |
ε8* ε8* |
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* |
-ε8* -ε8* |
-ε9* -ε9* |
-ε9* -ε9* |
-ε8* -ε8* |
-ε7* -ε7* |
-ε6* -ε6* |
-ε5* -ε5* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε2* -ε2* |
-ε* -ε* |
E''2* | 1 1 |
ε2* ε2* |
ε4* ε4* |
ε6* ε6* |
ε8* ε8* |
ε9* ε9* |
ε7* ε7* |
ε5* ε5* |
ε3* ε3* |
ε* ε* |
ε* ε* |
ε3* ε3* |
ε5* ε5* |
ε7* ε7* |
ε9* ε9* |
ε8* ε8* |
ε6* ε6* |
ε4* ε4* |
ε2* ε2* |
-1 -1 |
-ε2* -ε2* |
-ε4* -ε4* |
-ε6* -ε6* |
-ε8* -ε8* |
-ε9* -ε9* |
-ε7* -ε7* |
-ε5* -ε5* |
-ε3* -ε3* |
-ε* -ε* |
-ε* -ε* |
-ε3* -ε3* |
-ε5* -ε5* |
-ε7* -ε7* |
-ε9* -ε9* |
-ε8* -ε8* |
-ε6* -ε6* |
-ε4* -ε4* |
-ε2* -ε2* |
E''3* | 1 1 |
ε3* ε3* |
ε6* ε6* |
ε9* ε9* |
ε7* ε7* |
ε4* ε4* |
ε* ε* |
ε2* ε2* |
ε5* ε5* |
ε8* ε8* |
ε8* ε8* |
ε5* ε5* |
ε2* ε2* |
ε* ε* |
ε4* ε4* |
ε7* ε7* |
ε9* ε9* |
ε6* ε6* |
ε3* ε3* |
-1 -1 |
-ε3* -ε3* |
-ε6* -ε6* |
-ε9* -ε9* |
-ε7* -ε7* |
-ε4* -ε4* |
-ε* -ε* |
-ε2* -ε2* |
-ε5* -ε5* |
-ε8* -ε8* |
-ε8* -ε8* |
-ε5* -ε5* |
-ε2* -ε2* |
-ε* -ε* |
-ε4* -ε4* |
-ε7* -ε7* |
-ε9* -ε9* |
-ε6* -ε6* |
-ε3* -ε3* |
E''4* | 1 1 |
ε4* ε4* |
ε8* ε8* |
ε7* ε7* |
ε3* ε3* |
ε* ε* |
ε5* ε5* |
ε9* ε9* |
ε6* ε6* |
ε2* ε2* |
ε2* ε2* |
ε6* ε6* |
ε9* ε9* |
ε5* ε5* |
ε* ε* |
ε3* ε3* |
ε7* ε7* |
ε8* ε8* |
ε4* ε4* |
-1 -1 |
-ε4* -ε4* |
-ε8* -ε8* |
-ε7* -ε7* |
-ε3* -ε3* |
-ε* -ε* |
-ε5* -ε5* |
-ε9* -ε9* |
-ε6* -ε6* |
-ε2* -ε2* |
-ε2* -ε2* |
-ε6* -ε6* |
-ε9* -ε9* |
-ε5* -ε5* |
-ε* -ε* |
-ε3* -ε3* |
-ε7* -ε7* |
-ε8* -ε8* |
-ε4* -ε4* |
E''5* | 1 1 |
ε5* ε5* |
ε9* ε9* |
ε4* ε4* |
ε* ε* |
ε6* ε6* |
ε8* ε8* |
ε3* ε3* |
ε2* ε2* |
ε7* ε7* |
ε7* ε7* |
ε2* ε2* |
ε3* ε3* |
ε8* ε8* |
ε6* ε6* |
ε* ε* |
ε4* ε4* |
ε9* ε9* |
ε5* ε5* |
-1 -1 |
-ε5* -ε5* |
-ε9* -ε9* |
-ε4* -ε4* |
-ε* -ε* |
-ε6* -ε6* |
-ε8* -ε8* |
-ε3* -ε3* |
-ε2* -ε2* |
-ε7* -ε7* |
-ε7* -ε7* |
-ε2* -ε2* |
-ε3* -ε3* |
-ε8* -ε8* |
-ε6* -ε6* |
-ε* -ε* |
-ε4* -ε4* |
-ε9* -ε9* |
-ε5* -ε5* |
E''6* | 1 1 |
ε6* ε6* |
ε7* ε7* |
ε* ε* |
ε5* ε5* |
ε8* ε8* |
ε2* ε2* |
ε4* ε4* |
ε9* ε9* |
ε3* ε3* |
ε3* ε3* |
ε9* ε9* |
ε4* ε4* |
ε2* ε2* |
ε8* ε8* |
ε5* ε5* |
ε* ε* |
ε7* ε7* |
ε6* ε6* |
-1 -1 |
-ε6* -ε6* |
-ε7* -ε7* |
-ε* -ε* |
-ε5* -ε5* |
-ε8* -ε8* |
-ε2* -ε2* |
-ε4* -ε4* |
-ε9* -ε9* |
-ε3* -ε3* |
-ε3* -ε3* |
-ε9* -ε9* |
-ε4* -ε4* |
-ε2* -ε2* |
-ε8* -ε8* |
-ε5* -ε5* |
-ε* -ε* |
-ε7* -ε7* |
-ε6* -ε6* |
E''7* | 1 1 |
ε7* ε7* |
ε5* ε5* |
ε2* ε2* |
ε9* ε9* |
ε3* ε3* |
ε4* ε4* |
ε8* ε8* |
ε* ε* |
ε6* ε6* |
ε6* ε6* |
ε* ε* |
ε8* ε8* |
ε4* ε4* |
ε3* ε3* |
ε9* ε9* |
ε2* ε2* |
ε5* ε5* |
ε7* ε7* |
-1 -1 |
-ε7* -ε7* |
-ε5* -ε5* |
-ε2* -ε2* |
-ε9* -ε9* |
-ε3* -ε3* |
-ε4* -ε4* |
-ε8* -ε8* |
-ε* -ε* |
-ε6* -ε6* |
-ε6* -ε6* |
-ε* -ε* |
-ε8* -ε8* |
-ε4* -ε4* |
-ε3* -ε3* |
-ε9* -ε9* |
-ε2* -ε2* |
-ε5* -ε5* |
-ε7* -ε7* |
E''8* | 1 1 |
ε8* ε8* |
ε3* ε3* |
ε5* ε5* |
ε6* ε6* |
ε2* ε2* |
ε9* ε9* |
ε* ε* |
ε7* ε7* |
ε4* ε4* |
ε4* ε4* |
ε7* ε7* |
ε* ε* |
ε9* ε9* |
ε2* ε2* |
ε6* ε6* |
ε5* ε5* |
ε3* ε3* |
ε8* ε8* |
-1 -1 |
-ε8* -ε8* |
-ε3* -ε3* |
-ε5* -ε5* |
-ε6* -ε6* |
-ε2* -ε2* |
-ε9* -ε9* |
-ε* -ε* |
-ε7* -ε7* |
-ε4* -ε4* |
-ε4* -ε4* |
-ε7* -ε7* |
-ε* -ε* |
-ε9* -ε9* |
-ε2* -ε2* |
-ε6* -ε6* |
-ε5* -ε5* |
-ε3* -ε3* |
-ε8* -ε8* |
E''9* | 1 1 |
ε9* ε9* |
ε* ε* |
ε8* ε8* |
ε2* ε2* |
ε7* ε7* |
ε3* ε3* |
ε6* ε6* |
ε4* ε4* |
ε5* ε5* |
ε5* ε5* |
ε4* ε4* |
ε6* ε6* |
ε3* ε3* |
ε7* ε7* |
ε2* ε2* |
ε8* ε8* |
ε* ε* |
ε9* ε9* |
-1 -1 |
-ε9* -ε9* |
-ε* -ε* |
-ε8* -ε8* |
-ε2* -ε2* |
-ε7* -ε7* |
-ε3* -ε3* |
-ε6* -ε6* |
-ε4* -ε4* |
-ε5* -ε5* |
-ε5* -ε5* |
-ε4* -ε4* |
-ε6* -ε6* |
-ε3* -ε3* |
-ε7* -ε7* |
-ε2* -ε2* |
-ε8* -ε8* |
-ε* -ε* |
-ε9* -ε9* |
Number of symmetry elements | h = 38 |
Number of classes, irreps | n = 38 |
Number of real-valued irreducible representations | n = 20 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | no |