Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | D15×#427 |
| Fitting | C3×C5×#427 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#427 |
| Sylow | C5 ⋊ D3×#427 |
| Sylow | C3 ⋊ D5×#427 |
1024 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 138986);