Finite Group DatabasebetaFinite Group Databasebeta| order | 23850 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C25 · Schur multiplier (H2) = C1 |
| direct product | C3×C25×D159 |
| unambiguous semidirect product | C3⋊(C3×C25×D53) |
| unambiguous semidirect product | C53⋊(C3×D3×C25) |
| Fitting, Hall | C32×C25×C53 ⋊ C2 |
| derived | C3×C53 ⋊ C2×C3×C25 |
| Hall | C25×C53 ⋊ C3×D3 |
| Hall | C32×C53 ⋊ C2×C25 |
| Hall | C32×C25 ⋊ D53 |
| Sylow | C53 ⋊ C3×D3×C25 |
| Sylow | C32 ⋊ C25×D53 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7950 |
6075 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23850, 14);