Finite Group DatabasebetaFinite Group Databasebeta| order | 32634 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C37 · Schur multiplier (H2) = C1 |
| direct product | D7×C37×C7⋊C9 |
| derived, Sylow | C72 ⋊ C2×C9×C37 |
| Hall | C7×C37×C7⋊C9 ⋊ C2 |
| Hall | C7×D7×C37 ⋊ C9 |
| Hall | C72×C37 ⋊ C2×C9 |
| Hall | C7×C7⋊C9 ⋊ C2×C37 |
| Hall | C7×D7 ⋊ C9×C37 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4662 |
2775 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32634, 131);