Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11751650 |
| Fitting | C2×C3×C5×C8 ⋊ C2×C4 |
| Hall | C3×C5 ⋊ C2×C4×M16 |
| Sylow | C5 ⋊ C2×#4707 |
| Sylow | C3 ⋊ C2×M16×AGL(1,𝔽5) |
1312 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, 136973);