Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#91237 |
| Fitting | C22×C3×C5×D4 ⋊ C4 |
| Hall | C3×C5 ⋊ C22×#104 |
| Sylow | C5 ⋊ C22×#837 |
| Sylow | C3 ⋊ C22×#4008 |
1712 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 138499);