Finite Group DatabasebetaFinite Group Databasebeta| order | 32490 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | D5×#15692423 |
| unambiguous semidirect product | C5⋊(C2×#15692423) |
| derived, Hall | C5×C361 ⋊ C2×C9 |
| Hall | C5×#15692423 ⋊ C2 |
| Hall | D5×C361 ⋊ C9 |
| Sylow | C361 ⋊ C9×D5 |
| Sylow | C5 ⋊ C2×#15692423 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16245 |
1476 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32490, 3);