Finite Group DatabasebetaFinite Group Databasebeta| order | 11550 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C11×C25 · Schur multiplier (H2) = C1 |
| direct product | D3×C7×C11×C25 |
| unambiguous semidirect product | C3⋊(C2×C7×C11×C25) |
| Fitting, Hall | C3×C7×C11×C25 ⋊ C2 |
| derived, Sylow | C3 ⋊ C2×C7×C11×C25 |
| Hall | C3×C11×C25 ⋊ C2×C7 |
| Hall | C3×C7×C25 ⋊ C2×C11 |
| Hall | C3×C7×C11 ⋊ C2×C25 |
| Hall | C3×C25 ⋊ C2×C7×C11 |
| Hall | C3×C11 ⋊ C2×C7×C25 |
| Hall | C3×C7 ⋊ C2×C11×C25 |
48 conjugacy classes of subgroups.
5775 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11550, 12);