Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #686 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×C3×#65291 |
| Fitting | C2×C3×C5×#117 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#416 |
| Sylow | C5 ⋊ C2×C3×#416 |
1584 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 138012);