Finite Group DatabasebetaFinite Group Databasebeta| order | 34596 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | Dic3×C961⋊C3 |
| unambiguous semidirect product | C3⋊(C4×C961⋊C3) |
| unambiguous semidirect product | (Dic3×C961)⋊C3 |
| derived | C3×C961 ⋊ C3×C4 |
| Hall | C3×C961⋊C3 ⋊ C4 |
| Sylow | C961 ⋊ C3×Dic3 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11532 |
1938 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34596, 18);