Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D12×C22⋊AGL(1,𝔽5) |
| Fitting | C22×C3×C4×C5 ⋊ C2×C4 |
| Hall | C3×C5 ⋊ D4×C22⋊C4 |
| Sylow | C5 ⋊ C22⋊C4×D12 |
| Sylow | C3 ⋊ D4×C22⋊AGL(1,𝔽5) |
2504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
126 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 51694);