Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | D3×C5⋊#564 |
| unambiguous semidirect product | (C5×D3)⋊#564 |
| Hall | C3×C5 ⋊ C2×#564 |
| Sylow | C5 ⋊ D3×#564 |
| Sylow | C3 ⋊ C2×C5⋊#564 |
1792 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
141 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 221284);