  We provide an analytical calculation at the two loop level of the real
non-abelian contribution to the leading (1/Q) correction to the mean value of
the C parameter in e+e- annihilation, to complement the existing calculation of
the abelian contribution; and we compare the result with the numerical `Milan
factor' obtained using the soft approximation. We find agreement with the
previous results. The use of the pinch technique to separate the various
contributions yields insights into the structure of renormalon-type diagrams in
a non-abelian theory.
