D3d Character Table
| D3d | E | 2C3 | 3C2 | i | 2S6 | 3σd | Linear Functions |
Quadratic Functions |
| A1g | 1 | 1 | 1 | 1 | 1 | 1 | x2 + y2, z2 | |
| A2g | 1 | 1 | -1 | 1 | 1 | -1 | Rz | |
| Eg | 2 | -1 | 0 | 2 | -1 | 0 | (Rx,Ry) | (x2 - y2,xy), (xz,yz) |
| A1u | 1 | 1 | 1 | -1 | -1 | -1 | ||
| A2u | 1 | 1 | -1 | -1 | -1 | 1 | z | |
| Eu | 2 | -1 | 0 | -2 | 1 | 0 | (x,y) |
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