Finite Group DatabasebetaFinite Group Databasebeta| order | 32850 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C52×C9 · Schur multiplier (H2) = C5 |
| direct product | C52×C9×D73 |
| Fitting, Hall | C52×C9×C73 ⋊ C2 |
| derived, Sylow | C73 ⋊ C2×C52×C9 |
| Hall | C52×C73 ⋊ C2×C9 |
| Hall | C9×C73 ⋊ C2×C52 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16425 |
8550 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32850, 64);