Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C3×D5×#454 |
| Fitting | C3×C5×#454 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#454 |
| Sylow | C5 ⋊ C2×C3×#454 |
1456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
192 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 150767);