C8 Character Table
| C8 | E | C8 | C4 | C2 | C43 | C83 | C85 | C87 | Linear Functions |
Quadratic Functions |
| A | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | z, Rz | x2 + y2, z2 |
| B | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | ||
| E1 | 1 | ε | i | -1 | -i | -ε* | -ε | ε* | (x,y), (Rx,Ry) | (xz,yz) |
| 1 | ε* | -i | -1 | i | -ε | -ε* | ε | |||
| E2 | 1 | i | -1 | 1 | -1 | -i | i | -i | (x2 - y2,xy) | |
| 1 | -i | -1 | 1 | -1 | i | -i | i | |||
| E3 | 1 | -ε | i | -1 | -i | ε* | ε | -ε* | ||
| 1 | -ε* | -i | -1 | i | ε | ε* | -ε |
ε = e(2πi)/8, ε* = e(2π-i)/8
i = -1½
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