Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C3 |
| direct product | C3⋊D3×#709 |
| Fitting | C2×C32×C4×C5 ⋊ C22 |
| Hall | C32×C5 ⋊ C2×#41 |
| Sylow | C32 ⋊ C2×#709 |
| Sylow | C5 ⋊ #41×C3⋊D3 |
984 conjugacy classes of subgroups.
| transitive degree | μt(G) = 360 |
156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 5589);