Finite Group DatabasebetaFinite Group Databasebeta| order | 32450 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C11×C25 · Schur multiplier (H2) = C1 |
| direct product | C11×C25×D59 |
| unambiguous semidirect product | C59⋊(C2×C11×C25) |
| Fitting, Hall | C11×C25×C59 ⋊ C2 |
| derived, Sylow | C59 ⋊ C2×C11×C25 |
| Hall | C25×C59 ⋊ C2×C11 |
| Hall | C11×C59 ⋊ C2×C25 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16225 |
8525 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32450, 3);