Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#10598586 |
| Fitting | C2×C5×C4⋊C8 ⋊ C4 |
| Sylow | C5 ⋊ C2×#1296 |
878 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
116 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1086455);