Finite Group DatabasebetaFinite Group Databasebeta| order | 24453 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C11×C13 · Schur multiplier (H2) = C1 |
| direct product | C11×C13×#4294 |
| derived, Sylow | C19 ⋊ C9×C11×C13 |
| Hall | C11×C13×C19 ⋊ C9 |
| Hall | C13×C19 ⋊ C9×C11 |
| Hall | C11×C19 ⋊ C9×C13 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 24453 |
3861 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24453, 2);