Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D3×#65712 |
| Fitting | C3×C5×C4⋊C4 ⋊ C2×C4 |
| Hall | C3×C5 ⋊ C2×#389 |
| Sylow | C5 ⋊ D3×#389 |
| Sylow | C3 ⋊ C2×#65712 |
1600 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
114 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 46456);