Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | C2×#11751832 |
| unambiguous semidirect product | D5⋊#4648 |
| Hall | C3×C5 ⋊ C2×#376 |
| Sylow | C5 ⋊ C2×#4648 |
| Sylow | C3 ⋊ C2×#65686 |
1680 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45066);