Domain Walls from $\mathrm{\Sigma }(36\times 3)$, $\mathrm{\Delta }(54)$ and $\mathrm{\Delta }(27)$ potentials

We consider the degenerate minima arising from scalar potentials invariant under $\mathrm{\Sigma }(36\times 3)$, or under its subgroups $\mathrm{\Delta }(54)$ and $\mathrm{\Delta }(27)$ (with or without imposed CP symmetries), for a triplet of those symmetries. In this framework, we classify the distinct Domain Walls between the degenerate minima and calculate the respective tensions.