Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C3 |
| direct product | C13×C3⋊Dic147 |
| unambiguous semidirect product | C3⋊(C13×Dic147) |
| unambiguous semidirect product | C49⋊(C13×C3⋊Dic3) |
| derived, Hall | C32×C49 ⋊ C4×C13 |
| Hall | C32×C13×C49 ⋊ C4 |
| Hall | C13×C49 ⋊ C3⋊Dic3 |
| Hall | C32×C13 ⋊ Dic49 |
| Sylow | C49 ⋊ C13×C3⋊Dic3 |
| Sylow | C32 ⋊ C13×Dic49 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 22932 |
5772 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 123);