Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| isoclinism | isoclinic class of #700 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C42 |
| direct product | C22×#65686 |
| unambiguous semidirect product | D5⋊(C2×#376) |
| Fitting | C22×C42×C5 ⋊ C4 |
| Sylow | C5 ⋊ C22×#376 |
5150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1114091);