  We prove, by a direct dimensional reduction and an explicit construction of
the group manifold, that the nonlinear sigma model of the dimensionally reduced
three-dimensional A = R magical supergravity is F4(+4)/(USp(6)xSU(2)). This
serves as a basis for the solution generating technique in this supergravity as
well as allows to give the Lie algebraic characterizations to some of the
parameters and functions in the original D = 5 Lagrangian. Generalizations to
other magical supergravities are also discussed.
