Finite Group DatabasebetaFinite Group Databasebeta| order | 22374 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C113 · Schur multiplier (H2) = C1 |
| direct product | C9×D11×C113 |
| unambiguous semidirect product | C11⋊(C2×C9×C113) |
| Fitting, Hall | C9×C11×C113 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C9×C113 |
| Hall | C11×C113 ⋊ C2×C9 |
| Hall | C9×C11 ⋊ C2×C113 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11187 |
7119 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22374, 3);