Finite Group DatabasebetaFinite Group Databasebeta| order | 34596 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C961 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×A4×C961 |
| unambiguous semidirect product | C22⋊(C32×C961) |
| unambiguous semidirect product | (C22×C3)⋊(C3×C961) |
| Fitting | C22×C3×C961 ⋊ C3 |
| derived, Sylow | C22 ⋊ C32×C961 |
| Hall | C22×C961 ⋊ C32 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11532 |
11532 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34596, 40);