Finite Group DatabasebetaFinite Group DatabasebetaOrder 5040.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 21 | 70 | 105 | 105 | 210 | 210 | 280 | 420 | 420 | 504 | 504 | 630 | 720 | 840 |
| order | 1 | 2 | 3 | 2 | 2 | 4 | 6 | 3 | 6 | 12 | 5 | 10 | 4 | 7 | 6 |
| 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 | 6 | 4 | 3 | 0 | 2 | 2 | -1 | 0 | 1 | -1 | 1 | -1 | 0 | -1 | 0 |
| χ4 | 6 | -4 | 3 | 0 | 2 | -2 | -1 | 0 | -1 | 1 | 1 | 1 | 0 | -1 | 0 |
| χ5 | 14 | 4 | -1 | 0 | 2 | -2 | -1 | 2 | 1 | 1 | -1 | -1 | 0 | 0 | 0 |
| χ6 | 14 | 6 | 2 | 2 | 2 | 0 | 2 | -1 | 0 | 0 | -1 | 1 | 0 | 0 | -1 |
| χ7 | 14 | -6 | 2 | -2 | 2 | 0 | 2 | -1 | 0 | 0 | -1 | -1 | 0 | 0 | 1 |
| χ8 | 14 | -4 | -1 | 0 | 2 | 2 | -1 | 2 | -1 | -1 | -1 | 1 | 0 | 0 | 0 |
| χ9 | 15 | 5 | 3 | -3 | -1 | 1 | -1 | 0 | -1 | 1 | 0 | 0 | -1 | 1 | 0 |
| χ10 | 15 | -5 | 3 | 3 | -1 | -1 | -1 | 0 | 1 | -1 | 0 | 0 | -1 | 1 | 0 |
| χ11 | 20 | 0 | 2 | 0 | -4 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
| χ12 | 21 | 1 | -3 | -3 | 1 | -1 | 1 | 0 | 1 | -1 | 1 | 1 | -1 | 0 | 0 |
| χ13 | 21 | -1 | -3 | 3 | 1 | 1 | 1 | 0 | -1 | 1 | 1 | -1 | -1 | 0 | 0 |
| χ14 | 35 | 5 | -1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 1 | 0 | 1 |
| χ15 | 35 | -5 | -1 | -1 | -1 | 1 | -1 | -1 | 1 | 1 | 0 | 0 | 1 | 0 | -1 |