Order 52.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 13 | 13 |
| order | 1 | 2 | 13 | 13 | 13 | 13 | 13 | 13 | 26 | 26 | 26 | 26 | 26 | 26 | 4 | 4 |
| χ1 | 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 |
| χ3 | 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 | ||
| χ5 | 2 | 2 | −ζ22−ζ30 | −ζ6−ζ46 | −ζ18−ζ34 | −ζ10−ζ42 | −ζ14−ζ38 | −ζ2−ζ50 | −ζ22−ζ30 | −ζ6−ζ46 | −ζ18−ζ34 | −ζ10−ζ42 | −ζ14−ζ38 | −ζ2−ζ50 | 0 | 0 |
| χ6 | 2 | 2 | −ζ6−ζ46 | −ζ22−ζ30 | −ζ14−ζ38 | −ζ2−ζ50 | −ζ18−ζ34 | −ζ10−ζ42 | −ζ6−ζ46 | −ζ22−ζ30 | −ζ14−ζ38 | −ζ2−ζ50 | −ζ18−ζ34 | −ζ10−ζ42 | 0 | 0 |
| χ7 | 2 | 2 | −ζ18−ζ34 | −ζ14−ζ38 | −ζ10−ζ42 | −ζ6−ζ46 | −ζ2−ζ50 | −ζ22−ζ30 | −ζ18−ζ34 | −ζ14−ζ38 | −ζ10−ζ42 | −ζ6−ζ46 | −ζ2−ζ50 | −ζ22−ζ30 | 0 | 0 |
| χ8 | 2 | 2 | −ζ10−ζ42 | −ζ2−ζ50 | −ζ6−ζ46 | −ζ14−ζ38 | −ζ22−ζ30 | −ζ18−ζ34 | −ζ10−ζ42 | −ζ2−ζ50 | −ζ6−ζ46 | −ζ14−ζ38 | −ζ22−ζ30 | −ζ18−ζ34 | 0 | 0 |
| χ9 | 2 | 2 | −ζ14−ζ38 | −ζ18−ζ34 | −ζ2−ζ50 | −ζ22−ζ30 | −ζ10−ζ42 | −ζ6−ζ46 | −ζ14−ζ38 | −ζ18−ζ34 | −ζ2−ζ50 | −ζ22−ζ30 | −ζ10−ζ42 | −ζ6−ζ46 | 0 | 0 |
| χ10 | 2 | 2 | −ζ2−ζ50 | −ζ10−ζ42 | −ζ22−ζ30 | −ζ18−ζ34 | −ζ6−ζ46 | −ζ14−ζ38 | −ζ2−ζ50 | −ζ10−ζ42 | −ζ22−ζ30 | −ζ18−ζ34 | −ζ6−ζ46 | −ζ14−ζ38 | 0 | 0 |
| χ11 | 2 | -2 | −ζ22−ζ30 | −ζ6−ζ46 | −ζ18−ζ34 | −ζ10−ζ42 | −ζ14−ζ38 | −ζ2−ζ50 | ζ22+ζ30 | ζ6+ζ46 | ζ18+ζ34 | ζ10+ζ42 | ζ14+ζ38 | ζ2+ζ50 | 0 | 0 |
| χ12 | 2 | -2 | −ζ6−ζ46 | −ζ22−ζ30 | −ζ14−ζ38 | −ζ2−ζ50 | −ζ18−ζ34 | −ζ10−ζ42 | ζ6+ζ46 | ζ22+ζ30 | ζ14+ζ38 | ζ2+ζ50 | ζ18+ζ34 | ζ10+ζ42 | 0 | 0 |
| χ13 | 2 | -2 | −ζ18−ζ34 | −ζ14−ζ38 | −ζ10−ζ42 | −ζ6−ζ46 | −ζ2−ζ50 | −ζ22−ζ30 | ζ18+ζ34 | ζ14+ζ38 | ζ10+ζ42 | ζ6+ζ46 | ζ2+ζ50 | ζ22+ζ30 | 0 | 0 |
| χ14 | 2 | -2 | −ζ10−ζ42 | −ζ2−ζ50 | −ζ6−ζ46 | −ζ14−ζ38 | −ζ22−ζ30 | −ζ18−ζ34 | ζ10+ζ42 | ζ2+ζ50 | ζ6+ζ46 | ζ14+ζ38 | ζ22+ζ30 | ζ18+ζ34 | 0 | 0 |
| χ15 | 2 | -2 | −ζ14−ζ38 | −ζ18−ζ34 | −ζ2−ζ50 | −ζ22−ζ30 | −ζ10−ζ42 | −ζ6−ζ46 | ζ14+ζ38 | ζ18+ζ34 | ζ2+ζ50 | ζ22+ζ30 | ζ10+ζ42 | ζ6+ζ46 | 0 | 0 |
| χ16 | 2 | -2 | −ζ2−ζ50 | −ζ10−ζ42 | −ζ22−ζ30 | −ζ18−ζ34 | −ζ6−ζ46 | −ζ14−ζ38 | ζ2+ζ50 | ζ10+ζ42 | ζ22+ζ30 | ζ18+ζ34 | ζ6+ζ46 | ζ14+ζ38 | 0 | 0 |
Here ζ is a primitive root of unity of order 52 (ζ52 = 1); i = ζ13.