Finite Group DatabasebetaFinite Group Databasebeta| order | 31734 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C43 · Schur multiplier (H2) = C1 |
| direct product | C9×C43×D41 |
| unambiguous semidirect product | C41⋊(C2×C9×C43) |
| Fitting, Hall | C9×C41×C43 ⋊ C2 |
| derived, Sylow | C41 ⋊ C2×C9×C43 |
| Hall | C41×C43 ⋊ C2×C9 |
| Hall | C9×C41 ⋊ C2×C43 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15867 |
8514 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31734, 4);