Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#91487 |
| Hall | C3×C5 ⋊ C2×C4×SD16 |
| Sylow | C5 ⋊ C4×D3×SD16 |
| Sylow | C3 ⋊ C4×D5×SD16 |
1104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 141771);