Finite Group DatabasebetaFinite Group DatabasebetaOrder 72.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | C17 | C18 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 2 | 3 | 2 | 4 | 6 | 3 | 6 | 9 | 1 | 2 | 3 | 2 | 4 | 6 | 3 | 6 | 9 |
| order | 1 | 3 | 2 | 3 | 3 | 6 | 2 | 6 | 2 | 2 | 6 | 2 | 6 | 6 | 6 | 2 | 6 | 2 |
| χ1 | 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 |
| χ3 | 2 | -1 | 0 | 2 | -1 | 0 | 2 | -1 | 0 | 2 | -1 | 0 | 2 | -1 | 0 | 2 | -1 | 0 |
| χ4 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 |
| χ5 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | -1 | 1 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | -1 | 1 |
| χ6 | 2 | -1 | 0 | 2 | -1 | 0 | -2 | 1 | 0 | 2 | -1 | 0 | 2 | -1 | 0 | -2 | 1 | 0 |
| χ7 | 2 | 2 | 2 | -1 | -1 | -1 | 0 | 0 | 0 | 2 | 2 | 2 | -1 | -1 | -1 | 0 | 0 | 0 |
| χ8 | 2 | 2 | -2 | -1 | -1 | 1 | 0 | 0 | 0 | 2 | 2 | -2 | -1 | -1 | 1 | 0 | 0 | 0 |
| χ9 | 4 | -2 | 0 | -2 | 1 | 0 | 0 | 0 | 0 | 4 | -2 | 0 | -2 | 1 | 0 | 0 | 0 | 0 |
| χ10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
| χ11 | 1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 |
| χ12 | 2 | -1 | 0 | 2 | -1 | 0 | 2 | -1 | 0 | -2 | 1 | 0 | -2 | 1 | 0 | -2 | 1 | 0 |
| χ13 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 |
| χ14 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 |
| χ15 | 2 | -1 | 0 | 2 | -1 | 0 | -2 | 1 | 0 | -2 | 1 | 0 | -2 | 1 | 0 | 2 | -1 | 0 |
| χ16 | 2 | 2 | 2 | -1 | -1 | -1 | 0 | 0 | 0 | -2 | -2 | -2 | 1 | 1 | 1 | 0 | 0 | 0 |
| χ17 | 2 | 2 | -2 | -1 | -1 | 1 | 0 | 0 | 0 | -2 | -2 | 2 | 1 | 1 | -1 | 0 | 0 | 0 |
| χ18 | 4 | -2 | 0 | -2 | 1 | 0 | 0 | 0 | 0 | -4 | 2 | 0 | 2 | -1 | 0 | 0 | 0 | 0 |