Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D3×#64977 |
| Fitting | C3×C4×C5×C8 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#436 |
| Sylow | C5 ⋊ D3×#436 |
| Sylow | C3 ⋊ C2×#64977 |
1104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
276 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 140545);