Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D5×#5198 |
| Fitting | C3×C5×AGL(1,ℤ/8) ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#453 |
| Sylow | C5 ⋊ C2×#5198 |
| Sylow | C3 ⋊ D5×#453 |
1688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D5×#453, AGL(1,𝔽5)×#5198, #72229732 |
| maximal normal subgroup of | D3×D5×#453, AGL(1,𝔽5)×#5198, #72229732 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 150670);