Minima of multi-Higgs potentials with triplets of Δ(3n2) and Δ(6n2)

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 A4, S4, Δ(27), Δ(54), as well as Δ(3n2) and Δ(6n2) 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.