Finite Group DatabasebetaFinite Group Databasebeta| order | 24852 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C4×#20261880 |
| Fitting, Hall | C4×C19×C109 ⋊ C3 |
| derived, Hall | C19×C109 ⋊ C3×C4 |
| Hall | C4×C109 ⋊ C19⋊C3 |
| Sylow | C109 ⋊ C4×C19⋊C3 |
| Hall | C4×C19 ⋊ C109⋊C3 |
| Sylow | C19 ⋊ C4×C109⋊C3 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8284 |
2772 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24852, 4);