Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D3×#65197 |
| Fitting | C3×C5×M32 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#509 |
| Sylow | C5 ⋊ D3×#509 |
| Sylow | C3 ⋊ C2×#65197 |
800 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 204047);