Finite Group DatabasebetaFinite Group Databasebeta| order | 24156 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×Dic61⋊C9 |
| unambiguous semidirect product | Dic61⋊(C9×C11) |
| unambiguous semidirect product | (C11×Dic61)⋊C9 |
| derived, Sylow | C61 ⋊ C4×C9×C11 |
| Hall | C11×C61⋊C9 ⋊ C4 |
| Hall | C11×Dic61 ⋊ C9 |
| Hall | C11×C61 ⋊ C4×C9 |
| Hall | C61⋊C9 ⋊ C4×C11 |
| Hall | Dic61 ⋊ C9×C11 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 24156 |
1056 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24156, 10);