Finite Group DatabasebetaFinite Group Databasebeta| order | 33462 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | D11×#13095200 |
| unambiguous semidirect product | C11⋊(C2×#13095200) |
| derived, Hall | C11×C132 ⋊ C2×C9 |
| Hall | C11×#13095200 ⋊ C2 |
| Hall | C132×D11 ⋊ C9 |
| Sylow | C132 ⋊ C9×D11 |
| Sylow | C11 ⋊ C2×#13095200 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C3 | D11×#92788 |
| commutator, hypocenter | C11×C132 | C2×C9 |
| Fitting, socle, cosocle | C3×C11×C132 | C2×C3 |
| prime radical | C3×C132×D11 | C3 |
| LCS | G ▷ C11×C132 | |
| UCS | C1 ◁ C3 | |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16731 |
1239 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33462, 49);