  Motivated by the structure of TDAE-\c60, we derive a multicomponent
superexchange Hamiltonian for the spins and orbital (``isospin'') degrees of
freedom in the Mott-insulating phase. We explore its phase diagram and identify
points of special interest: an SU(4) antiferromagnet (solved by Sutherland) and
two ferromagnet$\otimes$antiferromagnet points where the ground state is known.
For the ferromagnetic regime, we apply interchain mean field theory and derive
an expression for the Curie temperature where spin ordering occurs and a lower
Ne{\'e}l temperature for a conjectured isospin ordering.
