Finite Group DatabasebetaFinite Group Databasebeta| order | 32490 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×#4294⋊D19 |
| unambiguous semidirect product | #4294⋊(C5×D19) |
| derived, Sylow | C192 ⋊ C2×C5×C9 |
| Hall | C5×C19×#4294 ⋊ C2 |
| Hall | C5×C19⋊D19 ⋊ C9 |
| Hall | C19×#4294 ⋊ C2×C5 |
| Hall | C5×C192 ⋊ C2×C9 |
| Hall | C19⋊D19 ⋊ C5×C9 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 855 |
1350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32490, 51);