  The NNLO QCD corrections to the $e^+e^- \to 3$ jets can be decomposed
according to their colour factors. Out of the seven colour factors, three are
of QED-type: $1/N^2$, $N_F/N$ and $N_F^2$. We use the antenna subtraction
method to compute these contributions, providing complete expressions for the
subtraction terms in $N_F/N$ and $N_F^2$.
