Finite Group DatabasebetaFinite Group Databasebeta| order | 34596 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×D31×C31⋊C9 |
| derived, Sylow | C312 ⋊ C22×C9 |
| Hall | C31×C31⋊C9 ⋊ C22 |
| Hall | C2×C31×D31 ⋊ C9 |
80 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1116 |
1326 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34596, 77);