Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C13 · Schur multiplier (H2) = C2 |
| direct product | C13×#11725076⋊C2 |
| unambiguous semidirect product | #11725076⋊(C2×C13) |
| unambiguous semidirect product | #11725077⋊(C2×C13) |
| derived, Sylow | C72 ⋊ C22×C9×C13 |
| Hall | C13×#89204 ⋊ C22 |
| Hall | C13×D72 ⋊ C9 |
| Hall | C72×C13 ⋊ C22×C9 |
| Hall | #89204 ⋊ C22×C13 |
| Hall | D72 ⋊ C9×C13 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1638 |
741 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 367);