Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Dic3×#4054 |
| Hall | C3×C5 ⋊ C4×AGL(1,ℤ/8) |
| Sylow | C5 ⋊ Dic3×AGL(1,ℤ/8) |
| Sylow | C3 ⋊ C4×#4054 |
1096 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
186 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 142453);