Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | D3×D5×#124 |
| Fitting | C3×C5×#124 ⋊ C22 |
| Hall | C3×C5 ⋊ C22×#124 |
| Sylow | C5 ⋊ C2×D3×#124 |
| Sylow | C3 ⋊ C2×D5×#124 |
3760 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, 205363);