Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | #131×ΓL(1,𝔽16) |
| Fitting | C3×C5×#131 ⋊ C4 |
| Hall | C3×C5 ⋊ C4×#131 |
| Sylow | C5 ⋊ Dic3×#131 |
| Sylow | C3 ⋊ AGL(1,𝔽5)×#131 |
1144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 137158);