D6d Character Table
| D6d | E | 2S12 | 2C6 | 2S4 | 2C3 | 2S125 | C2 | 6C2' | 6σd | Linear Functions |
Quadratic Functions |
| A1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x2 + y2, z2 | |
| A2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | Rz | |
| B1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | ||
| B2 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | z | |
| E1 | 2 | 3½ | 1 | 0 | -1 | -(3½) | -2 | 0 | 0 | (x,y) | |
| E2 | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 0 | 0 | (x2 - y2,xy) | |
| E3 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 0 | ||
| E4 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | 0 | 0 | ||
| E5 | 2 | -(3½) | 1 | 0 | -1 | 3½ | -2 | 0 | 0 | (Rx,Ry) | (xz,yz) |
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