Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | C22×#66262 |
| unambiguous semidirect product | D5⋊(C2×#519) |
| Fitting | C23×C5×Q8 ⋊ C4 |
| Sylow | C5 ⋊ C22×#519 |
11230 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1116281);