Statistics |
|---|
| Order of group | 27 |
| GAP identifier | 27,3 |
| Presentation | < k,r,g | k3, r3, g3, [k,r], rgk^-1g^-1, krgr^-1g^-1 > |
| Orders of elements | 1 of 1, 2*1+2*3+6*3 of 3 |
| Centre | C3 |
| Derived subgroup | C3 |
| Automorphism group | a group of order 432 |
| Inner automorphism group | C3×C3 |
| "Out" (quotient of above) | a group of order 48 |
| Schur multiplier | C3×C3 |
| |
1-transitive on 9
points, even. |
|