Finite Group DatabasebetaFinite Group Databasebeta| order | 32634 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C49 · Schur multiplier (H2) = C1 |
| direct product | C49×#66524⋊C2 |
| unambiguous semidirect product | #66524⋊(C2×C49) |
| derived, Sylow | C37 ⋊ C2×C9×C49 |
| Hall | C49×#66524 ⋊ C2 |
| Hall | C49×D37 ⋊ C9 |
| Hall | C37×C49 ⋊ C2×C9 |
| Hall | #66524 ⋊ C2×C49 |
| Hall | D37 ⋊ C9×C49 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16317 |
1764 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32634, 2);