Finite Group DatabasebetaFinite Group Databasebeta| order | 33282 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C1849 · Schur multiplier (H2) = C1 |
| direct product | C3×D3×C1849 |
| unambiguous semidirect product | C3⋊(C2×C3×C1849) |
| Fitting, Hall | C32×C1849 ⋊ C2 |
| derived | C3 ⋊ C2×C3×C1849 |
| Sylow | C32 ⋊ C2×C1849 |
27 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11094 |
16641 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33282, 13);