Finite Group DatabasebetaFinite Group Databasebeta| order | 33462 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C169 · Schur multiplier (H2) = C3 |
| direct product | C32×D11×C169 |
| unambiguous semidirect product | C11⋊(C2×C32×C169) |
| Fitting, Hall | C32×C11×C169 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C32×C169 |
| Hall | C11×C169 ⋊ C2×C32 |
| Hall | C32×C11 ⋊ C2×C169 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16731 |
10647 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33462, 23);