Finite Group DatabasebetaFinite Group Databasebeta| order | 22446 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C43 · Schur multiplier (H2) = C1 |
| direct product | C9×C43×D29 |
| unambiguous semidirect product | C29⋊(C2×C9×C43) |
| Fitting, Hall | C9×C29×C43 ⋊ C2 |
| derived, Sylow | C29 ⋊ C2×C9×C43 |
| Hall | C29×C43 ⋊ C2×C9 |
| Hall | C9×C29 ⋊ C2×C43 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11223 |
6192 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22446, 4);