D4d Character Table
| D4d | E | 2S8 | 2C4 | 2S83 | C2 | 4C2' | 4σd | Linear Functions |
Quadratic Functions |
| A1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x2 + y2, z2 | |
| A2 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | Rz | |
| B1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | ||
| B2 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | z | |
| E1 | 2 | 2½ | 0 | -(2)½ | -2 | 0 | 0 | (x,y) | |
| E2 | 2 | 0 | -2 | 0 | 2 | 0 | 0 | (x2 - y2,xy) | |
| E3 | 2 | -(2)½ | 0 | 2½ | -2 | 0 | 0 | (Rx,Ry) | (xz,yz) |
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