Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C211 |
| direct product | C22×#65321 |
| Fitting | C22×C5×#120 ⋊ C2 |
| Sylow | C5 ⋊ C22×B(4,𝔽2) |
7014 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1036280);