Finite Group DatabasebetaFinite Group Databasebeta| order | 25284 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C72 · Schur multiplier (H2) = C7 |
| direct product | C7×Dic3×C43⋊C7 |
| unambiguous semidirect product | C3⋊(C4×C7×C43⋊C7) |
| unambiguous semidirect product | (Dic3×C43)⋊C72 |
| unambiguous semidirect product | (C7×Dic3×C43)⋊C7 |
| derived, Hall | C3×C43 ⋊ C4×C72 |
| Hall | C3×C7×C43⋊C7 ⋊ C4 |
| Hall | Dic3×C43 ⋊ C72 |
| Sylow | C43 ⋊ C72×Dic3 |
| Sylow | C3 ⋊ C4×C7×C43⋊C7 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3612 |
546 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25284, 101);