Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#11746737 |
| Fitting | C2×C3×C5×C22⋊C4 ⋊ C4 |
| Hall | C3×C5 ⋊ C2×#342 |
| Sylow | C5 ⋊ C2×#4527 |
| Sylow | C3 ⋊ C2×#64866 |
1360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 20388);