Finite Group DatabasebetaFinite Group Databasebeta| order | 32025 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C7×C25 · Schur multiplier (H2) = C1 |
| direct product | C7×C25×C61⋊C3 |
| unambiguous semidirect product | (C25×C61)⋊(C3×C7) |
| Fitting, Hall | C7×C25×C61 ⋊ C3 |
| derived, Sylow | C61 ⋊ C3×C7×C25 |
| Hall | C25×C61 ⋊ C3×C7 |
| Hall | C7×C61 ⋊ C3×C25 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10675 |
4025 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32025, 3);