Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C3×C7 |
| direct product | C13×#13183676 |
| Fitting, socle, Hall | C32×C72×C13 ⋊ C4 |
| derived, Hall | C32×C72 ⋊ C4×C13 |
| Hall | C72×C13 ⋊ #157 |
| Hall | C32×C13 ⋊ #5997 |
| Sylow | C72 ⋊ C13×#157 |
| Sylow | C32 ⋊ C13×#5997 |
136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 546 |
1482 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 1500);