Finite Group DatabasebetaFinite Group Databasebeta| order | 24804 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C53 · Schur multiplier (H2) = C1 |
| direct product | C53×C9⋊#261 |
| unambiguous semidirect product | C9⋊(#261×C53) |
| Fitting, Hall | C9×C13×C53 ⋊ C4 |
| derived, Hall | C9×C13 ⋊ C4×C53 |
| Hall | C13×C53 ⋊ Dic9 |
| Hall | C9×C53 ⋊ #261 |
| Sylow | C13 ⋊ Dic9×C53 |
| Sylow | C9 ⋊ #261×C53 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6201 |
2067 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24804, 45);