Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#10602317 |
| Fitting | C2×C5×#510 ⋊ C2 |
| Sylow | C5 ⋊ C2×#2195 |
1078 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
110 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 323512);