Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C49 · Schur multiplier (H2) = C1 |
| direct product | C3×C49×C3⋊#261 |
| unambiguous semidirect product | C3⋊(C3×C49×#261) |
| Fitting, Hall | C32×C13×C49 ⋊ C4 |
| derived | C3×C13 ⋊ C3×C4×C49 |
| Hall | C13×C49 ⋊ C3×Dic3 |
| Hall | C32×C49 ⋊ #261 |
| Hall | C32×C13 ⋊ C4×C49 |
| Sylow | C13 ⋊ C3×Dic3×C49 |
| Sylow | C32 ⋊ C49×#261 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3822 |
2205 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 216);