Finite Group DatabasebetaFinite Group Databasebeta| order | 18150 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C25 · Schur multiplier (H2) = C11 |
| direct product | C25×(C11⋊D11)⋊C3 |
| unambiguous semidirect product | (C25×C11⋊D11)⋊C3 |
| Fitting, Hall | C112×C25 ⋊ C2×C3 |
| derived, Sylow | C112 ⋊ C2×C3×C25 |
| Hall | C25×C112⋊C3 ⋊ C2 |
| Hall | C25×C11⋊D11 ⋊ C3 |
| Hall | C112⋊C3 ⋊ C2×C25 |
| Hall | C11⋊D11 ⋊ C3×C25 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 825 |
650 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18150, 70);