Finite Group DatabasebetaFinite Group Databasebeta| order | 32490 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×#20266584 |
| derived, Sylow | C192 ⋊ C2×C5×C9 |
| Hall | C5×#15692429 ⋊ C2 |
| Hall | C5×C19×D19 ⋊ C9 |
| Hall | #15692429 ⋊ C2×C5 |
| Hall | C5×C192 ⋊ C2×C9 |
| Hall | C19×D19 ⋊ C5×C9 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1710 |
1125 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32490, 49);