Finite Group DatabasebetaFinite Group Databasebeta| order | 32634 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | C2×#30654554 |
| derived, Hall | C37×C49 ⋊ C2×C9 |
| Hall | C2×C37×C49 ⋊ C9 |
| Hall | C2×C49 ⋊ #66524 |
| Hall | C2×C37 ⋊ C49⋊C9 |
| Sylow | C49 ⋊ C2×#66524 |
| Sylow | C37 ⋊ C2×C49⋊C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32634 |
3642 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32634, 16);