  We analyse the minima of scalar potentials for multi-Higgs models where the
scalars are arranged as either one triplet or two triplets of the discrete
symmetries $A_4$, $S_4$, $\Delta(27)$, $\Delta(54)$, as well as $\Delta(3n^2)$
and $\Delta(6n^2)$ with $n>3$. The results should be useful for both
multi-Higgs models involving electroweak doublets and multi-flavon models
involving electroweak singlets, where in both cases the fields transform as
triplets under some non-Abelian discrete symmetry.
