Finite Group DatabasebetaFinite Group Databasebeta| order | 32850 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C25×C73 · Schur multiplier (H2) = C1 |
| direct product | D9×C25×C73 |
| unambiguous semidirect product | C9⋊(C2×C25×C73) |
| Fitting, Hall | C9×C25×C73 ⋊ C2 |
| derived, Sylow | C9 ⋊ C2×C25×C73 |
| Hall | C9×C73 ⋊ C2×C25 |
| Hall | C9×C25 ⋊ C2×C73 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16425 |
10950 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32850, 6);