  We consider six-dimensional supergravity with gauge group $SO(10)\times
U(1)_A$, compactified on the orbifold $T^2 / \mathbb{Z}_2$. Three quark-lepton
generations arise as zero modes of a bulk $\bf16$-plet due to magnetic flux of
the anomalous $U(1)_A$. Boundary conditions at the four fixed points break
$SO(10)$ to subgroups whose intersection is the Standard Model gauge group. The
gauge and Higgs sector consist of "split" $SO(10)$ multiplets. As consequence
of the $U(1)_A$ flux, squarks and sleptons are much heavier than gauge bosons,
Higgs bosons, gauginos and higgsinos. We thus obtain a picture similar to
"split supersymmetry." The flavor structure of the quark and lepton mass
matrices is determined by the symmetry breaking at the orbifold fixed points.
