Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C5 · Schur multiplier (H2) = C1 |
| direct product | Q8×AGL(1,𝔽16) |
| unambiguous semidirect product | (Q8×C22⋊A4)⋊C5 |
| Fitting, Sylow | C24×Q8 ⋊ C3×C5 |
| Hall | Q8×C24⋊C5 ⋊ C3 |
| Hall | Q8×C22⋊A4 ⋊ C5 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
80 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 240056);