Finite Group DatabasebetaFinite Group Databasebeta| order | 31350 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C19×C25 · Schur multiplier (H2) = C1 |
| direct product | C2×C3×C19×C11⋊C25 |
| unambiguous semidirect product | (C2×C11)⋊(C3×C19×C25) |
| unambiguous semidirect product | (C2×C3×C11)⋊(C19×C25) |
| unambiguous semidirect product | (C2×C3×C11×C19)⋊C25 |
| derived, Sylow | C11 ⋊ C2×C3×C19×C25 |
| Hall | C2×C3×C11×C19 ⋊ C25 |
| Hall | C3×C11×C19 ⋊ C2×C25 |
| Hall | C2×C11×C19 ⋊ C3×C25 |
| Hall | C11×C19 ⋊ C2×C3×C25 |
| Hall | C2×C3×C11 ⋊ C19×C25 |
| Hall | C3×C11 ⋊ C2×C19×C25 |
| Hall | C2×C11 ⋊ C3×C19×C25 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 31350 |
3990 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31350, 2);