Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×#5997⋊C9 |
| unambiguous semidirect product | #5997⋊(C9×C13) |
| derived, Sylow | C72 ⋊ C4×C9×C13 |
| Hall | C13×#89204 ⋊ C4 |
| Hall | C13×#5997 ⋊ C9 |
| Hall | C72×C13 ⋊ C4×C9 |
| Hall | #89204 ⋊ C4×C13 |
| Hall | #5997 ⋊ C9×C13 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1638 |
624 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 437);