Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C72×C9 · Schur multiplier (H2) = C7 |
| direct product | C72×#261⋊C9 |
| unambiguous semidirect product | #261⋊(C72×C9) |
| derived, Sylow | C13 ⋊ C4×C72×C9 |
| Hall | C72×C13⋊C9 ⋊ C4 |
| Hall | C72×#261 ⋊ C9 |
| Hall | C72×C13 ⋊ C4×C9 |
| Hall | C13⋊C9 ⋊ C4×C72 |
| Hall | #261 ⋊ C72×C9 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5733 |
1911 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 345);