Order 120.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | C17 | C18 | C19 | C20 | C21 | C22 | C23 | C24 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 2 | 2 | 3 | 3 | 2 | 2 | 4 | 4 | 6 | 6 | 2 | 2 | 4 | 4 | 6 | 6 | 5 | 5 | 10 | 10 | 15 | 15 |
| order | 1 | 2 | 3 | 6 | 4 | 4 | 5 | 10 | 15 | 30 | 20 | 20 | 5 | 10 | 15 | 30 | 20 | 20 | 2 | 2 | 6 | 6 | 4 | 4 |
| 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 |
| 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 | ||||||||
| χ4 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ||||||||
| χ5 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 |
| χ6 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 |
| χ7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 |
| χ8 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 |
| χ9 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | ||||||||
| χ10 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | ||||||||
| χ11 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 | -2 | -2 | 1 | 1 | 0 | 0 |
| χ12 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 | -2 | 2 | 1 | -1 | 0 | 0 |
| χ13 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ14 | 2 | 2 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ15 | 2 | -2 | 2 | -2 | −ζ11−ζ19 | ζ11+ζ19 | −ζ3−ζ7 | ζ3+ζ7 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ16 | 2 | -2 | 2 | -2 | ζ11+ζ19 | −ζ11−ζ19 | ζ3+ζ7 | −ζ3−ζ7 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ17 | 4 | 4 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ18 | 4 | -4 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ19 | 2 | 2 | 2 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ20 | 2 | 2 | 2 | 2 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ21 | 2 | -2 | 2 | -2 | −ζ3−ζ7 | ζ3+ζ7 | −ζ11−ζ19 | ζ11+ζ19 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ22 | 2 | -2 | 2 | -2 | ζ3+ζ7 | −ζ3−ζ7 | ζ11+ζ19 | −ζ11−ζ19 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ23 | 4 | 4 | -2 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ24 | 4 | -4 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.