Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | #125×ΓL(1,𝔽16) |
| Fitting | C3×C5×#125 ⋊ C4 |
| Hall | C3×C5 ⋊ C4×#125 |
| Sylow | C5 ⋊ Dic3×#125 |
| Sylow | C3 ⋊ AGL(1,𝔽5)×#125 |
968 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
126 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 47867);