Finite Group DatabasebetaFinite Group Databasebeta| order | 32490 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C361 · Schur multiplier (H2) = C1 |
| direct product | D45×C361 |
| unambiguous semidirect product | C5⋊(D9×C361) |
| unambiguous semidirect product | C9⋊(D5×C361) |
| Fitting, Hall | C5×C9×C361 ⋊ C2 |
| derived, Hall | C5×C9 ⋊ C2×C361 |
| Hall | C9×C361 ⋊ D5 |
| Hall | C5×C361 ⋊ D9 |
| Sylow | C9 ⋊ D5×C361 |
| Sylow | C5 ⋊ D9×C361 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16245 |
8664 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32490, 11);