Order 288.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | C17 | C18 | C19 | C20 | C21 | C22 | C23 | C24 | C25 | C26 | C27 | C28 | C29 | C30 | C31 | C32 | C33 | C34 | C35 | C36 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| order | 1 | 2 | 3 | 3 | 6 | 6 | 2 | 2 | 6 | 6 | 6 | 6 | 4 | 4 | 4 | 4 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 9 | 9 | 9 | 9 | 9 | 9 | 18 | 18 | 18 | 18 | 18 | 18 |
| χ1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| χ2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||||
| χ3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||||
| χ4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ζ | ζ4 | ζ7 | ζ2 | ζ5 | ζ8 | ζ | ζ4 | ζ7 | ζ2 | ζ5 | ζ8 | ||||||||||||||||
| χ5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ζ4 | ζ7 | ζ | ζ8 | ζ2 | ζ5 | ζ4 | ζ7 | ζ | ζ8 | ζ2 | ζ5 | ||||||||||||||||
| χ6 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ζ7 | ζ | ζ4 | ζ5 | ζ8 | ζ2 | ζ7 | ζ | ζ4 | ζ5 | ζ8 | ζ2 | ||||||||||||||||
| χ7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ζ2 | ζ8 | ζ5 | ζ4 | ζ | ζ7 | ζ2 | ζ8 | ζ5 | ζ4 | ζ | ζ7 | ||||||||||||||||
| χ8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ζ5 | ζ2 | ζ8 | ζ | ζ7 | ζ4 | ζ5 | ζ2 | ζ8 | ζ | ζ7 | ζ4 | ||||||||||||||||
| χ9 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ζ8 | ζ5 | ζ2 | ζ7 | ζ4 | ζ | ζ8 | ζ5 | ζ2 | ζ7 | ζ4 | ζ | ||||||||||||||||
| χ10 | 2 | -2 | 2 | 2 | -2 | -2 | 2 | -2 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 |
| χ11 | 2 | -2 | 2 | 2 | -2 | -2 | 2 | -2 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ12 | 2 | -2 | 2 | 2 | -2 | -2 | 2 | -2 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ13 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ | −ζ4 | −ζ7 | −ζ2 | −ζ5 | −ζ8 | ζ | ζ4 | ζ7 | ζ2 | ζ5 | ζ8 | ||||||||
| χ14 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ4 | −ζ7 | −ζ | −ζ8 | −ζ2 | −ζ5 | ζ4 | ζ7 | ζ | ζ8 | ζ2 | ζ5 | ||||||||
| χ15 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ7 | −ζ | −ζ4 | −ζ5 | −ζ8 | −ζ2 | ζ7 | ζ | ζ4 | ζ5 | ζ8 | ζ2 | ||||||||
| χ16 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ2 | −ζ8 | −ζ5 | −ζ4 | −ζ | −ζ7 | ζ2 | ζ8 | ζ5 | ζ4 | ζ | ζ7 | ||||||||
| χ17 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ5 | −ζ2 | −ζ8 | −ζ | −ζ7 | −ζ4 | ζ5 | ζ2 | ζ8 | ζ | ζ7 | ζ4 | ||||||||
| χ18 | 2 | -2 | 2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ8 | −ζ5 | −ζ2 | −ζ7 | −ζ4 | −ζ | ζ8 | ζ5 | ζ2 | ζ7 | ζ4 | ζ | ||||||||
| χ19 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ20 | 3 | 3 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ21 | 3 | 3 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 3 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ22 | 3 | 3 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 3 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ23 | 3 | 3 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 3 | -1 | -1 | -1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ24 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ25 | 3 | 3 | -1 | -1 | 3 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ26 | 3 | 3 | -1 | -1 | -1 | 3 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ27 | 3 | 3 | -1 | -1 | -1 | -1 | 3 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ28 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ29 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ30 | 3 | 3 | -1 | -1 | 3 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ31 | 3 | 3 | -1 | -1 | -1 | 3 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ32 | 3 | 3 | -1 | -1 | -1 | -1 | 3 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ33 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||
| χ34 | 6 | -6 | 6 | 6 | -6 | -6 | -2 | 2 | -2 | 2 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ35 | 6 | -6 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ36 | 6 | -6 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.