  Spontaneous CP-violating phases that do not depend on the parameters of the
Higgs sector - the so-called calculable phases - are investigated. The simplest
realization is in models with 3 Higgs doublets, in which the scalar potential
is invariant under non-Abelian symmetries. The non-Abelian discrete group
Delta(54) is shown to lead to the known structure of calculable phases obtained
with Delta(27). We investigate the possibily of accommodating the observed
fermion masses and mixings.
