Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C22×D3×C22⋊AGL(1,𝔽5) |
| unambiguous semidirect product | D5⋊(C2×D3×C22⋊C4) |
| unambiguous semidirect product | (D3×D5)⋊(C2×C22⋊C4) |
| Fitting | C24×C3×C5 ⋊ C2×C4 |
| Hall | C3×C5 ⋊ C23×C22⋊C4 |
| Sylow | C5 ⋊ C22×D3×C22⋊C4 |
| Sylow | C3 ⋊ C23×C22⋊AGL(1,𝔽5) |
9264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 204396);