Finite Group DatabasebetaFinite Group Databasebeta| order | 33462 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C11×C13 · Schur multiplier (H2) = C1 |
| direct product | C11×C13×D117 |
| unambiguous semidirect product | C9⋊(C11×C13×D13) |
| unambiguous semidirect product | C13⋊(C11×C13×D9) |
| Fitting, Hall | C9×C11×C132 ⋊ C2 |
| derived | C9×C13 ⋊ C2×C11×C13 |
| Hall | C11×C132 ⋊ D9 |
| Hall | C9×C132 ⋊ C2×C11 |
| Sylow | C132 ⋊ C11×D9 |
| Hall | C9×C11 ⋊ C13×D13 |
| Sylow | C9 ⋊ C11×C13×D13 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C11×C13 | D117 |
| commutator, cosocle, hypocenter | C9×C13 | C2×C11×C13 |
| Frattini | C3 | C11×C13×D39 |
| Fitting | C9×C11×C132 | C2 |
| socle | C3×C11×C132 | D3 |
| LCS | G ▷ C9×C13 | |
| UCS | C1 ◁ C11×C13 | |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2574 |
8580 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33462, 60);