Finite Group DatabasebetaFinite Group Databasebeta| order | 32490 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×#15692423⋊C2 |
| unambiguous semidirect product | #15692423⋊(C2×C5) |
| derived, Sylow | C361 ⋊ C2×C5×C9 |
| Hall | C5×#15692423 ⋊ C2 |
| Hall | C5×D361 ⋊ C9 |
| Hall | #15692423 ⋊ C2×C5 |
| Hall | C5×C361 ⋊ C2×C9 |
| Hall | D361 ⋊ C5×C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16245 |
990 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32490, 2);