  We perform a detailed study of lepton mixing patterns arising from a scenario
with three Majorana neutrinos in which a discrete flavor group Gf=Delta (3 n^2)
or Gf=Delta(6 n^2) and a CP symmetry are broken to residual symmetries Ge=Z3
and Gnu=Z2 x CP in the charged lepton and neutrino sectors, respectively. While
we consider all possible Z3 and Z2 generating elements, we focus on a certain
set of CP transformations. The resulting lepton mixing depends on group
theoretical indices and one continuous parameter. In order to study the mixing
patterns comprehensively for all admitted Ge and Gnu, it is sufficient to
discuss only three types of combinations. One of them requires as flavor group
Delta (6 n^2). Two types of combinations lead to mixing patterns with a
trimaximal column, while the third one allows for a much richer structure. For
the first type of combinations the Dirac as well as one Majorana phase are
trivial, whereas the other two ones predict in general all CP phases to be
non-trivial and also non-maximal. Already for small values of the index n of
the group, n <= 11, experimental data on lepton mixing can be accommodated well
for particular choices of the parameters of the theory. We also comment on the
relation of the used CP transformations to the automorphisms of Delta (3 n^2)
and Delta (6 n^2).
