Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of D3×AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C22×C8 |
| direct product | C8×#6738 |
| derived, Hall | C3×C5 ⋊ C2×C82 |
| Sylow | C5 ⋊ D3×C82 |
| Sylow | C3 ⋊ C8×D5⋊C8 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 6016);