Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #686 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C3×C4×#3957 |
| Fitting | C3×C4×C5×M16 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#104 |
| Sylow | C5 ⋊ C3×C4×#104 |
720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 21279);