Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of D80 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×C4×D80 |
| Fitting | C3×C4×C5×C16 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×D16 |
| Sylow | C5 ⋊ C3×C4×D16 |
348 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
516 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 41009);