Finite Group DatabasebetaFinite Group Databasebeta| order | 33220 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5 · Schur multiplier (H2) = C1 |
| direct product | C4×#22552176 |
| Fitting, Hall | C4×C11×C151 ⋊ C5 |
| derived, Hall | C11×C151 ⋊ C4×C5 |
| Hall | C4×C151 ⋊ C11⋊C5 |
| Sylow | C151 ⋊ C4×C11⋊C5 |
| Hall | C4×C11 ⋊ C151⋊C5 |
| Sylow | C11 ⋊ C4×C151⋊C5 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6644 |
1348 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33220, 5);