D4 Character Table
| D4 | E | 2C4 | C2 | 2C2' | 2C2" | Linear Functions |
Quadratic Functions |
| A1 | 1 | 1 | 1 | 1 | 1 | x2 + y2, z2 | |
| A2 | 1 | 1 | 1 | -1 | -1 | z, Rz | |
| B1 | 1 | -1 | 1 | 1 | -1 | x2 - y2 | |
| B2 | 1 | -1 | 1 | -1 | 1 | xy | |
| E | 2 | 0 | -2 | 0 | 0 | (x,y), (Rx,Ry) | (xz,yz) |
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