Statistics |
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| Order of group | 24 |
| GAP identifier | 24,15 |
| Presentation | < r,g,e | r2, g2, e6, [r,g], [g,e], [e,r] > |
| Orders of elements | 1 of 1, 7*1 of 2, 6*1 of 3, 14*1 of 6 |
| Centre | C3×C2×C2×C2 |
| Derived subgroup | 1 |
| Automorphism group | PSL(3,2)×C2 |
| Inner automorphism group | 1 |
| "Out" (quotient of above) | PSL(3,2)×C2 |
| Schur multiplier | C2×C2×C2 |
| Sylow-2-subgroup | C2×C2×C2 |
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