Finite Group DatabasebetaFinite Group Databasebeta| order | 24650 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C17×C25 · Schur multiplier (H2) = C1 |
| direct product | C17×C25×D29 |
| unambiguous semidirect product | C29⋊(C2×C17×C25) |
| Fitting, Hall | C17×C25×C29 ⋊ C2 |
| derived, Sylow | C29 ⋊ C2×C17×C25 |
| Hall | C25×C29 ⋊ C2×C17 |
| Hall | C17×C29 ⋊ C2×C25 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12325 |
6800 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24650, 2);