Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C26 |
| direct product | D4×D5⋊C16 |
| unambiguous semidirect product | D5⋊(D4×C16) |
| Sylow | C5 ⋊ C2×D4×C16 |
806 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, 1113769);