Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×C5⋊#2104 |
| unambiguous semidirect product | (C2×C5)⋊#2104 |
| Sylow | C5 ⋊ C2×#2104 |
822 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
134 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 200556);