Finite Group DatabasebetaFinite Group Databasebeta| order | 34596 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×#26040338 |
| derived, Sylow | C312 ⋊ C32×C4 |
| Hall | C3×#15668333 ⋊ C4 |
| Hall | C31×Dic31 ⋊ C32 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1116 |
1086 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34596, 107);