Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C22 |
| direct product | C3×#10604118 |
| Fitting | C3×C5×M32 ⋊ C4 |
| Hall | C3×C5 ⋊ #2159 |
| Sylow | C5 ⋊ C3×#2159 |
312 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 40329);