Order 180.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 45 | 45 | 45 |
| order | 1 | 3 | 3 | 5 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 2 | 4 | 4 |
| χ1 | 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 |
| χ3 | 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 | ||
| χ5 | 4 | 1 | -2 | 4 | 1 | 1 | 1 | 1 | -2 | -2 | -2 | -2 | 0 | 0 | 0 |
| χ6 | 4 | 1 | -2 | -1 | ζ2+ζ22−ζ26−ζ34+ζ38+ζ58 | ζ14−ζ22+ζ26+ζ34−ζ38+ζ46 | −ζ2+ζ14+ζ26+ζ34+ζ46−ζ58 | ζ2−ζ14+ζ22+ζ38−ζ46+ζ58 | −ζ2−ζ14−ζ46−ζ58 | −ζ22−ζ26−ζ34−ζ38 | −ζ2−ζ26−ζ34−ζ58 | −ζ14−ζ22−ζ38−ζ46 | 0 | 0 | 0 |
| χ7 | 4 | 1 | -2 | -1 | ζ14−ζ22+ζ26+ζ34−ζ38+ζ46 | ζ2−ζ14+ζ22+ζ38−ζ46+ζ58 | ζ2+ζ22−ζ26−ζ34+ζ38+ζ58 | −ζ2+ζ14+ζ26+ζ34+ζ46−ζ58 | −ζ2−ζ26−ζ34−ζ58 | −ζ14−ζ22−ζ38−ζ46 | −ζ22−ζ26−ζ34−ζ38 | −ζ2−ζ14−ζ46−ζ58 | 0 | 0 | 0 |
| χ8 | 4 | 1 | -2 | -1 | −ζ2+ζ14+ζ26+ζ34+ζ46−ζ58 | ζ2+ζ22−ζ26−ζ34+ζ38+ζ58 | ζ2−ζ14+ζ22+ζ38−ζ46+ζ58 | ζ14−ζ22+ζ26+ζ34−ζ38+ζ46 | −ζ14−ζ22−ζ38−ζ46 | −ζ2−ζ26−ζ34−ζ58 | −ζ2−ζ14−ζ46−ζ58 | −ζ22−ζ26−ζ34−ζ38 | 0 | 0 | 0 |
| χ9 | 4 | 1 | -2 | -1 | ζ2−ζ14+ζ22+ζ38−ζ46+ζ58 | −ζ2+ζ14+ζ26+ζ34+ζ46−ζ58 | ζ14−ζ22+ζ26+ζ34−ζ38+ζ46 | ζ2+ζ22−ζ26−ζ34+ζ38+ζ58 | −ζ22−ζ26−ζ34−ζ38 | −ζ2−ζ14−ζ46−ζ58 | −ζ14−ζ22−ζ38−ζ46 | −ζ2−ζ26−ζ34−ζ58 | 0 | 0 | 0 |
| χ10 | 4 | 4 | 4 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 |
| χ11 | 4 | -2 | 1 | 4 | -2 | -2 | -2 | -2 | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
| χ12 | 4 | -2 | 1 | -1 | −ζ2−ζ14−ζ46−ζ58 | −ζ2−ζ26−ζ34−ζ58 | −ζ14−ζ22−ζ38−ζ46 | −ζ22−ζ26−ζ34−ζ38 | −ζ2+ζ14+ζ26+ζ34+ζ46−ζ58 | ζ14−ζ22+ζ26+ζ34−ζ38+ζ46 | ζ2+ζ22−ζ26−ζ34+ζ38+ζ58 | ζ2−ζ14+ζ22+ζ38−ζ46+ζ58 | 0 | 0 | 0 |
| χ13 | 4 | -2 | 1 | -1 | −ζ22−ζ26−ζ34−ζ38 | −ζ14−ζ22−ζ38−ζ46 | −ζ2−ζ26−ζ34−ζ58 | −ζ2−ζ14−ζ46−ζ58 | ζ14−ζ22+ζ26+ζ34−ζ38+ζ46 | −ζ2+ζ14+ζ26+ζ34+ζ46−ζ58 | ζ2−ζ14+ζ22+ζ38−ζ46+ζ58 | ζ2+ζ22−ζ26−ζ34+ζ38+ζ58 | 0 | 0 | 0 |
| χ14 | 4 | -2 | 1 | -1 | −ζ2−ζ26−ζ34−ζ58 | −ζ22−ζ26−ζ34−ζ38 | −ζ2−ζ14−ζ46−ζ58 | −ζ14−ζ22−ζ38−ζ46 | ζ2+ζ22−ζ26−ζ34+ζ38+ζ58 | ζ2−ζ14+ζ22+ζ38−ζ46+ζ58 | ζ14−ζ22+ζ26+ζ34−ζ38+ζ46 | −ζ2+ζ14+ζ26+ζ34+ζ46−ζ58 | 0 | 0 | 0 |
| χ15 | 4 | -2 | 1 | -1 | −ζ14−ζ22−ζ38−ζ46 | −ζ2−ζ14−ζ46−ζ58 | −ζ22−ζ26−ζ34−ζ38 | −ζ2−ζ26−ζ34−ζ58 | ζ2−ζ14+ζ22+ζ38−ζ46+ζ58 | ζ2+ζ22−ζ26−ζ34+ζ38+ζ58 | −ζ2+ζ14+ζ26+ζ34+ζ46−ζ58 | ζ14−ζ22+ζ26+ζ34−ζ38+ζ46 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.