Order 156.
| 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 | 2 | 2 | 2 | 2 | 2 | 2 | 13 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 26 | 3 | 6 | 6 | 6 | 6 | 6 | 6 | 39 |
| order | 1 | 13 | 13 | 13 | 13 | 13 | 13 | 2 | 3 | 39 | 39 | 39 | 39 | 39 | 39 | 6 | 2 | 26 | 26 | 26 | 26 | 26 | 26 | 2 |
| 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 | 2 | ζ+ζ12 | ζ2+ζ11 | ζ3+ζ10 | ζ4+ζ9 | ζ5+ζ8 | ζ6+ζ7 | 0 | 2 | ζ+ζ12 | ζ2+ζ11 | ζ3+ζ10 | ζ4+ζ9 | ζ5+ζ8 | ζ6+ζ7 | 0 | 2 | ζ+ζ12 | ζ2+ζ11 | ζ3+ζ10 | ζ4+ζ9 | ζ5+ζ8 | ζ6+ζ7 | 0 |
| χ4 | 2 | ζ2+ζ11 | ζ4+ζ9 | ζ6+ζ7 | ζ5+ζ8 | ζ3+ζ10 | ζ+ζ12 | 0 | 2 | ζ2+ζ11 | ζ4+ζ9 | ζ6+ζ7 | ζ5+ζ8 | ζ3+ζ10 | ζ+ζ12 | 0 | 2 | ζ2+ζ11 | ζ4+ζ9 | ζ6+ζ7 | ζ5+ζ8 | ζ3+ζ10 | ζ+ζ12 | 0 |
| χ5 | 2 | ζ3+ζ10 | ζ6+ζ7 | ζ4+ζ9 | ζ+ζ12 | ζ2+ζ11 | ζ5+ζ8 | 0 | 2 | ζ3+ζ10 | ζ6+ζ7 | ζ4+ζ9 | ζ+ζ12 | ζ2+ζ11 | ζ5+ζ8 | 0 | 2 | ζ3+ζ10 | ζ6+ζ7 | ζ4+ζ9 | ζ+ζ12 | ζ2+ζ11 | ζ5+ζ8 | 0 |
| χ6 | 2 | ζ4+ζ9 | ζ5+ζ8 | ζ+ζ12 | ζ3+ζ10 | ζ6+ζ7 | ζ2+ζ11 | 0 | 2 | ζ4+ζ9 | ζ5+ζ8 | ζ+ζ12 | ζ3+ζ10 | ζ6+ζ7 | ζ2+ζ11 | 0 | 2 | ζ4+ζ9 | ζ5+ζ8 | ζ+ζ12 | ζ3+ζ10 | ζ6+ζ7 | ζ2+ζ11 | 0 |
| χ7 | 2 | ζ5+ζ8 | ζ3+ζ10 | ζ2+ζ11 | ζ6+ζ7 | ζ+ζ12 | ζ4+ζ9 | 0 | 2 | ζ5+ζ8 | ζ3+ζ10 | ζ2+ζ11 | ζ6+ζ7 | ζ+ζ12 | ζ4+ζ9 | 0 | 2 | ζ5+ζ8 | ζ3+ζ10 | ζ2+ζ11 | ζ6+ζ7 | ζ+ζ12 | ζ4+ζ9 | 0 |
| χ8 | 2 | ζ6+ζ7 | ζ+ζ12 | ζ5+ζ8 | ζ2+ζ11 | ζ4+ζ9 | ζ3+ζ10 | 0 | 2 | ζ6+ζ7 | ζ+ζ12 | ζ5+ζ8 | ζ2+ζ11 | ζ4+ζ9 | ζ3+ζ10 | 0 | 2 | ζ6+ζ7 | ζ+ζ12 | ζ5+ζ8 | ζ2+ζ11 | ζ4+ζ9 | ζ3+ζ10 | 0 |
| χ9 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 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 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 |
| χ11 | 2 | ζ+ζ12 | ζ2+ζ11 | ζ3+ζ10 | ζ4+ζ9 | ζ5+ζ8 | ζ6+ζ7 | 0 | 2 | ζ+ζ12 | ζ2+ζ11 | ζ3+ζ10 | ζ4+ζ9 | ζ5+ζ8 | ζ6+ζ7 | 0 | -2 | −ζ−ζ12 | −ζ2−ζ11 | −ζ3−ζ10 | −ζ4−ζ9 | −ζ5−ζ8 | −ζ6−ζ7 | 0 |
| χ12 | 2 | ζ2+ζ11 | ζ4+ζ9 | ζ6+ζ7 | ζ5+ζ8 | ζ3+ζ10 | ζ+ζ12 | 0 | 2 | ζ2+ζ11 | ζ4+ζ9 | ζ6+ζ7 | ζ5+ζ8 | ζ3+ζ10 | ζ+ζ12 | 0 | -2 | −ζ2−ζ11 | −ζ4−ζ9 | −ζ6−ζ7 | −ζ5−ζ8 | −ζ3−ζ10 | −ζ−ζ12 | 0 |
| χ13 | 2 | ζ3+ζ10 | ζ6+ζ7 | ζ4+ζ9 | ζ+ζ12 | ζ2+ζ11 | ζ5+ζ8 | 0 | 2 | ζ3+ζ10 | ζ6+ζ7 | ζ4+ζ9 | ζ+ζ12 | ζ2+ζ11 | ζ5+ζ8 | 0 | -2 | −ζ3−ζ10 | −ζ6−ζ7 | −ζ4−ζ9 | −ζ−ζ12 | −ζ2−ζ11 | −ζ5−ζ8 | 0 |
| χ14 | 2 | ζ4+ζ9 | ζ5+ζ8 | ζ+ζ12 | ζ3+ζ10 | ζ6+ζ7 | ζ2+ζ11 | 0 | 2 | ζ4+ζ9 | ζ5+ζ8 | ζ+ζ12 | ζ3+ζ10 | ζ6+ζ7 | ζ2+ζ11 | 0 | -2 | −ζ4−ζ9 | −ζ5−ζ8 | −ζ−ζ12 | −ζ3−ζ10 | −ζ6−ζ7 | −ζ2−ζ11 | 0 |
| χ15 | 2 | ζ5+ζ8 | ζ3+ζ10 | ζ2+ζ11 | ζ6+ζ7 | ζ+ζ12 | ζ4+ζ9 | 0 | 2 | ζ5+ζ8 | ζ3+ζ10 | ζ2+ζ11 | ζ6+ζ7 | ζ+ζ12 | ζ4+ζ9 | 0 | -2 | −ζ5−ζ8 | −ζ3−ζ10 | −ζ2−ζ11 | −ζ6−ζ7 | −ζ−ζ12 | −ζ4−ζ9 | 0 |
| χ16 | 2 | ζ6+ζ7 | ζ+ζ12 | ζ5+ζ8 | ζ2+ζ11 | ζ4+ζ9 | ζ3+ζ10 | 0 | 2 | ζ6+ζ7 | ζ+ζ12 | ζ5+ζ8 | ζ2+ζ11 | ζ4+ζ9 | ζ3+ζ10 | 0 | -2 | −ζ6−ζ7 | −ζ−ζ12 | −ζ5−ζ8 | −ζ2−ζ11 | −ζ4−ζ9 | −ζ3−ζ10 | 0 |
| χ17 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ18 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | -2 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ19 | 4 | 2ζ+2ζ12 | 2ζ2+2ζ11 | 2ζ3+2ζ10 | 2ζ4+2ζ9 | 2ζ5+2ζ8 | 2ζ6+2ζ7 | 0 | -2 | −ζ−ζ12 | −ζ2−ζ11 | −ζ3−ζ10 | −ζ4−ζ9 | −ζ5−ζ8 | −ζ6−ζ7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ20 | 4 | 2ζ2+2ζ11 | 2ζ4+2ζ9 | 2ζ6+2ζ7 | 2ζ5+2ζ8 | 2ζ3+2ζ10 | 2ζ+2ζ12 | 0 | -2 | −ζ2−ζ11 | −ζ4−ζ9 | −ζ6−ζ7 | −ζ5−ζ8 | −ζ3−ζ10 | −ζ−ζ12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ21 | 4 | 2ζ3+2ζ10 | 2ζ6+2ζ7 | 2ζ4+2ζ9 | 2ζ+2ζ12 | 2ζ2+2ζ11 | 2ζ5+2ζ8 | 0 | -2 | −ζ3−ζ10 | −ζ6−ζ7 | −ζ4−ζ9 | −ζ−ζ12 | −ζ2−ζ11 | −ζ5−ζ8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ22 | 4 | 2ζ4+2ζ9 | 2ζ5+2ζ8 | 2ζ+2ζ12 | 2ζ3+2ζ10 | 2ζ6+2ζ7 | 2ζ2+2ζ11 | 0 | -2 | −ζ4−ζ9 | −ζ5−ζ8 | −ζ−ζ12 | −ζ3−ζ10 | −ζ6−ζ7 | −ζ2−ζ11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ23 | 4 | 2ζ5+2ζ8 | 2ζ3+2ζ10 | 2ζ2+2ζ11 | 2ζ6+2ζ7 | 2ζ+2ζ12 | 2ζ4+2ζ9 | 0 | -2 | −ζ5−ζ8 | −ζ3−ζ10 | −ζ2−ζ11 | −ζ6−ζ7 | −ζ−ζ12 | −ζ4−ζ9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ24 | 4 | 2ζ6+2ζ7 | 2ζ+2ζ12 | 2ζ5+2ζ8 | 2ζ2+2ζ11 | 2ζ4+2ζ9 | 2ζ3+2ζ10 | 0 | -2 | −ζ6−ζ7 | −ζ−ζ12 | −ζ5−ζ8 | −ζ2−ζ11 | −ζ4−ζ9 | −ζ3−ζ10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 13 (ζ13 = 1).