Finite Group DatabasebetaFinite Group Databasebeta| order | 34596 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C961 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic3×C961 |
| unambiguous semidirect product | C3⋊(C3×C4×C961) |
| derived | C3 ⋊ C3×C4×C961 |
| Hall | C32×C961 ⋊ C4 |
| Sylow | C32 ⋊ C4×C961 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11532 |
17298 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34596, 22);