Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×Dic3×C22⋊AGL(1,𝔽5) |
| Hall | C3×C5 ⋊ C2×C4×C22⋊C4 |
| Sylow | C5 ⋊ C2×Dic3×C22⋊C4 |
| Sylow | C3 ⋊ C2×C4×C22⋊AGL(1,𝔽5) |
2720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45117);