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I present a list of minima for 3 Higgs doublet models and 6 Higgs doubletmodels that are invariant under the discrete symmetries $\Delta(3n^2)$ and$\Delta(6n^2)$. I use the invariant approach formalism on the scalar sectorand, with relevant Spontaneous CP-odd invariants, determine if the minima leadto Spontaneous CP violation. I identify in which cases the VEVs have calculablephases, finding several new cases of Spontaneous Geometrical CP Violation,including the first cases for 6 Higgs doublet models.

Minima of multi-Higgs potentials with triplets of $\Delta(3n^2)$ and $\Delta(6n^2)$