Finite Group DatabasebetaFinite Group Databasebeta| order | 23751 |
| automorphism | ? |
| homology | Abelianization (H1) = C7×C9×C13 · Schur multiplier (H2) = C1 |
| direct product | C9×C13×C29⋊C7 |
| unambiguous semidirect product | C29⋊(C7×C9×C13) |
| unambiguous semidirect product | (C9×C29)⋊(C7×C13) |
| unambiguous semidirect product | (C9×C13×C29)⋊C7 |
| Fitting, Hall | C9×C13×C29 ⋊ C7 |
| derived, Sylow | C29 ⋊ C7×C9×C13 |
| Hall | C13×C29 ⋊ C7×C9 |
| Hall | C9×C29 ⋊ C7×C13 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3393 |
1287 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23751, 2);