Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | D15×H(3,ℤ/4) |
| Fitting | C3×C5×H(3,ℤ/4) ⋊ C2 |
| Hall | C3×C5 ⋊ C2×H(3,ℤ/4) |
| Sylow | C5 ⋊ D3×H(3,ℤ/4) |
| Sylow | C3 ⋊ D5×H(3,ℤ/4) |
808 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
198 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 20077);