Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#10612042 |
| Fitting | C2×C5×#458 ⋊ C2 |
| Sylow | C5 ⋊ C2×#3026 |
5318 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
122 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1036297);