Finite Group DatabasebetaFinite Group Databasebeta| order | 35868 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C4×#22582217 |
| Fitting, Hall | C4×C49×C61 ⋊ C3 |
| derived, Hall | C49×C61 ⋊ C3×C4 |
| Hall | C4×C61 ⋊ C49⋊C3 |
| Hall | C4×C49 ⋊ C61⋊C3 |
| Sylow | C61 ⋊ C4×C49⋊C3 |
| Sylow | C49 ⋊ C4×C61⋊C3 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11956 |
3996 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35868, 5);