C3h Point Group
Abelian, 4(6) irreducible representationsSubgroups of C3h point group: Cs, C3
Character table for C3h point group
| E | C3(z) | (C3)2 | σh | S3 | (S3)5 | linear functions, rotations | quadratic functions | |
|---|---|---|---|---|---|---|---|---|
| A' | 1 | 1 | 1 | 1 | 1 | 1 | Rz | x2+y2, z2 |
| E' | 1 1 | e e* | e* e | 1 1 | e e* | e* e | x+iy x-iy | (x2-y2, xy) |
| A'' | 1 | 1 | 1 | -1 | -1 | -1 | z | |
| E'' | 1 1 | e e* | e* e | -1 -1 | -e -e* | -e* -e | Rx+iRy Rx-iRy | (xz, yz) |
Product table for C3h point group
| A' | E' | A'' | E'' | |
|---|---|---|---|---|
| A' | A' | E' | A'' | E'' |
| E' | E' | 2A'+E' | E'' | 2A''+E'' |
| A'' | A'' | E'' | A' | E' |
| E'' | E'' | 2A''+E'' | E' | 2A'+E' |
| C1 | Cs | Ci | ||
| C2 | C3 | C4 | C5 | C6 |
| C2v | C3v | C4v | C5v | C6v |
| C2h | C3h | C4h | C5h | C6h |
| D2 | D3 | D4 | D5 | D6 |
| D2h | D3h | D4h | D5h | D6h |
| D2d | D3d | D4d | D5d | D6d |
| S4 | S6 | S8 | S10 | |
| Td | Oh | Ih | ||
| C∞v | D∞h |
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