Finite Group DatabasebetaFinite Group Databasebeta| order | 21450 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C13×C25 · Schur multiplier (H2) = C1 |
| direct product | C2×C3×C13×C11⋊C25 |
| unambiguous semidirect product | (C2×C11)⋊(C3×C13×C25) |
| unambiguous semidirect product | (C2×C3×C11)⋊(C13×C25) |
| unambiguous semidirect product | (C2×C3×C11×C13)⋊C25 |
| derived, Sylow | C11 ⋊ C2×C3×C13×C25 |
| Hall | C2×C3×C11×C13 ⋊ C25 |
| Hall | C3×C11×C13 ⋊ C2×C25 |
| Hall | C2×C11×C13 ⋊ C3×C25 |
| Hall | C11×C13 ⋊ C2×C3×C25 |
| Hall | C2×C3×C11 ⋊ C13×C25 |
| Hall | C3×C11 ⋊ C2×C13×C25 |
| Hall | C2×C11 ⋊ C3×C13×C25 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21450 |
2730 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21450, 2);