Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#10602020 |
| Sylow | C5 ⋊ C2×#1723 |
798 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1280 |
140 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 157369);