Finite Group DatabasebetaFinite Group Databasebeta| order | 33462 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C13 · Schur multiplier (H2) = C1 |
| direct product | C9×C13×D143 |
| unambiguous semidirect product | C11⋊(C9×C13×D13) |
| Fitting, Hall | C9×C11×C132 ⋊ C2 |
| derived | C11×C13 ⋊ C2×C9×C13 |
| Hall | C11×C132 ⋊ C2×C9 |
| Hall | C9×C132 ⋊ D11 |
| Sylow | C132 ⋊ C9×D11 |
| Hall | C9×C11 ⋊ C13×D13 |
| Sylow | C11 ⋊ C9×C13×D13 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2574 |
8541 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33462, 63);