Order 3840.
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 6 | 6 | 10 | 10 | 15 | 15 | 120 | 120 | 120 | 120 | 120 | 120 | 120 | 120 | 192 | 192 | 192 | 192 | 192 | 192 | 192 | 192 | 320 | 320 | 320 | 320 |
| order | 1 | 2 | 4 | 4 | 4 | 4 | 2 | 2 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 5 | 5 | 10 | 10 | 20 | 20 | 20 | 20 | 3 | 6 | 12 | 12 |
| 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 |
| χ2 | 2 | 2 | -2 | -2 | -2 | -2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | 1 | 1 | ||||||||
| χ3 | 2 | 2 | -2 | -2 | -2 | -2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | 1 | 1 | ||||||||
| χ4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | ||||||||
| χ5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | ||||||||
| χ6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 |
| χ7 | 4 | 4 | -4 | -4 | -4 | -4 | 4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 |
| χ8 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | -1 |
| χ9 | 6 | 6 | -6 | -6 | -6 | -6 | 6 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 |
| χ10 | 6 | -6 | 0 | 0 | 2 | -2 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ11 | 6 | -6 | 0 | 0 | 2 | -2 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ12 | 6 | -6 | 0 | 0 | 2 | -2 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ13 | 6 | -6 | 0 | 0 | 2 | -2 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ14 | 10 | -10 | 0 | 0 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | ||||||||||||
| χ15 | 10 | -10 | 0 | 0 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | ||||||||||||
| χ16 | 10 | -10 | 0 | 0 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | ||||||||||||
| χ17 | 10 | -10 | 0 | 0 | -2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | ||||||||||||
| χ18 | 12 | -12 | 0 | 0 | 4 | -4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ22−ζ38 | ζ22+ζ38 | −ζ6−ζ14 | ζ6+ζ14 | 0 | 0 | 0 | 0 | ||||||
| χ19 | 12 | -12 | 0 | 0 | 4 | -4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | −ζ6−ζ14 | ζ6+ζ14 | −ζ22−ζ38 | ζ22+ζ38 | 0 | 0 | 0 | 0 | ||||||
| χ20 | 12 | -12 | 0 | 0 | 4 | -4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ22+ζ38 | −ζ22−ζ38 | ζ6+ζ14 | −ζ6−ζ14 | 0 | 0 | 0 | 0 | ||||||
| χ21 | 12 | -12 | 0 | 0 | 4 | -4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ζ6+ζ14 | −ζ6−ζ14 | ζ22+ζ38 | −ζ22−ζ38 | 0 | 0 | 0 | 0 | ||||||
| χ22 | 15 | 15 | -5 | -5 | 3 | 3 | -1 | -1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ23 | 15 | 15 | -5 | -5 | 3 | 3 | -1 | -1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ24 | 15 | 15 | -5 | -5 | 3 | 3 | -1 | -1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ25 | 15 | 15 | -5 | -5 | 3 | 3 | -1 | -1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ26 | 20 | -20 | 0 | 0 | -4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 1 | ||||
| χ27 | 20 | -20 | 0 | 0 | -4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 1 | ||||
| χ28 | 30 | 30 | 10 | 10 | -6 | -6 | -2 | -2 | 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 40 (ζ40 = 1); i = ζ10.