Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#10615833 |
| Fitting | C22×C5×H(5,𝔽2) ⋊ C2 |
| Sylow | C5 ⋊ C2×#3012 |
5126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
200 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1036012);