Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#10601730 |
| Fitting | C2×C5×C8×Q8 ⋊ C2 |
| Sylow | C5 ⋊ C2×SD16⋊C8 |
806 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
248 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 138951);