Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | D3×#64703 |
| Fitting | C3×C5×C4⋊C8 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×D4⋊C8 |
| Sylow | C5 ⋊ D3×D4⋊C8 |
| Sylow | C3 ⋊ C2×#64703 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
204 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 7186);