Finite Group DatabasebetaFinite Group Databasebeta| order | 32634 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C37 · Schur multiplier (H2) = C1 |
| direct product | C37×D49⋊C9 |
| unambiguous semidirect product | D49⋊(C9×C37) |
| unambiguous semidirect product | (C49⋊C9)⋊(C2×C37) |
| derived, Sylow | C49 ⋊ C2×C9×C37 |
| Hall | C37×C49⋊C9 ⋊ C2 |
| Hall | C37×D49 ⋊ C9 |
| Hall | C37×C49 ⋊ C2×C9 |
| Hall | C49⋊C9 ⋊ C2×C37 |
| Hall | D49 ⋊ C9×C37 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16317 |
1554 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32634, 8);