Finite Group DatabasebetaFinite Group Databasebeta| order | 32490 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×#16813380 |
| Fitting, Hall | C9×C192 ⋊ D5 |
| derived, Hall | C192⋊C5 ⋊ C2×C9 |
| Hall | C9×C192⋊C5 ⋊ C2 |
| Sylow | C192 ⋊ C9×D5 |
39 conjugacy classes of subgroups.
| transitive degree | μt(G) = 855 |
603 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32490, 41);