Finite Group DatabasebetaFinite Group Databasebeta| order | 32634 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C49 · Schur multiplier (H2) = C1 |
| direct product | C3×C49×D111 |
| unambiguous semidirect product | C3⋊(C3×C49×D37) |
| Fitting, Hall | C32×C37×C49 ⋊ C2 |
| derived | C3×C37 ⋊ C2×C3×C49 |
| Hall | C37×C49 ⋊ C3×D3 |
| Hall | C32×C49 ⋊ D37 |
| Hall | C32×C37 ⋊ C2×C49 |
| Sylow | C37 ⋊ C3×D3×C49 |
| Sylow | C32 ⋊ C49×D37 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10878 |
8379 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32634, 78);