Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | D5×#1380 |
| Fitting | C5×#1380 ⋊ C2 |
| Sylow | C5 ⋊ C2×#1380 |
694 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 84443);