Finite Group DatabasebetaFinite Group Databasebeta| order | 24804 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C13 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×C13×D53 |
| Fitting | C2×C9×C13×C53 ⋊ C2 |
| derived, Sylow | C53 ⋊ C22×C9×C13 |
| Hall | C9×C13×C53 ⋊ C22 |
| Hall | C13×C53 ⋊ C22×C9 |
| Hall | C9×C53 ⋊ C22×C13 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12402 |
6552 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24804, 64);