Finite Group DatabasebetaFinite Group Databasebeta| order | 33852 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7×C13×C31 · Schur multiplier (H2) = C1 |
| direct product | C7×Dic3×C13×C31 |
| unambiguous semidirect product | C3⋊(C4×C7×C13×C31) |
| derived, Sylow | C3 ⋊ C4×C7×C13×C31 |
| Hall | C3×C7×C13×C31 ⋊ C4 |
| Hall | C3×C13×C31 ⋊ C4×C7 |
| Hall | C3×C7×C31 ⋊ C4×C13 |
| Hall | C3×C7×C13 ⋊ C4×C31 |
| Hall | C3×C31 ⋊ C4×C7×C13 |
| Hall | C3×C13 ⋊ C4×C7×C31 |
| Hall | C3×C7 ⋊ C4×C13×C31 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 33852 |
16926 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33852, 22);