Finite Group DatabasebetaFinite Group Databasebeta| order | 32634 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C7×#17987938 |
| derived | C7×C37 ⋊ C2×C7×C9 |
| Hall | C7×#14556418 ⋊ C2 |
| Hall | C7×D259 ⋊ C9 |
| Hall | C72×C37 ⋊ C2×C9 |
| Sylow | C72 ⋊ #66524⋊C2 |
| Sylow | C37 ⋊ C7×D7⋊C9 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4662 |
1029 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32634, 89);