Finite Group DatabasebetaFinite Group Databasebeta| order | 32634 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C49 · Schur multiplier (H2) = C3 |
| direct product | C2×C3×C49×C37⋊C3 |
| unambiguous semidirect product | (C2×C37)⋊(C32×C49) |
| unambiguous semidirect product | (C2×C3×C37)⋊(C3×C49) |
| Fitting | C2×C3×C37×C49 ⋊ C3 |
| derived, Sylow | C37 ⋊ C2×C32×C49 |
| Hall | C2×C37×C49 ⋊ C32 |
| Hall | C37×C49 ⋊ C2×C32 |
| Hall | C2×C37 ⋊ C32×C49 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10878 |
4410 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32634, 70);