Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C13×C49 · Schur multiplier (H2) = C2 |
| direct product | D32×C13×C49 |
| unambiguous semidirect product | (C3×D3)⋊(C2×C13×C49) |
| unambiguous semidirect product | (C3⋊D3)⋊(C2×C13×C49) |
| Fitting, Hall | C32×C13×C49 ⋊ C22 |
| derived, Sylow | C32 ⋊ C22×C13×C49 |
| Hall | C32×C49 ⋊ C22×C13 |
| Hall | C32×C13 ⋊ C22×C49 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3822 |
5733 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 232);