C4h Character Table
| C4h | E | C4 | C2 | C43 | i | S43 | σh | S4 | Linear Functions |
Quadratic Functions |
| Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | Rz | x2 + y2, z2 |
| Bg | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | x2 - y2, xy | |
| Eg | 1 | i | -1 | -i | 1 | i | -1 | -i | (Rx,Ry) | (xz,yz) |
| 1 | -i | -1 | i | 1 | -i | -1 | i | |||
| Au | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | z | |
| Bu | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | ||
| Eu | 1 | i | -1 | -i | -1 | -i | 1 | i | (x,y) | |
| 1 | -i | -1 | i | -1 | i | 1 | -i |
i = (-1)½
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