Finite Group DatabasebetaFinite Group Databasebeta| order | 34596 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C4×C961⋊C9 |
| unambiguous semidirect product | (C4×C961)⋊C9 |
| derived, Sylow | C961 ⋊ C4×C9 |
| Hall | C4×C961 ⋊ C9 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3×C4 | C961⋊C3 |
| commutator, hypocenter | C961 | C4×C9 |
| Frattini, socle, prime radical | C2×C3×C31 | C2×C31⋊C3 |
| Fitting | C3×C4×C961 | C3 |
| cosocle | C2×C3×C961 | C2×C3 |
| LCS | G ▷ C961 | |
| UCS | C1 ◁ C3×C4 | |
27 conjugacy classes of subgroups.
| transitive degree | μt(G) = 34596 |
3876 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34596, 3);