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We have performed a comprehensive analysis of the type D group $D^{(1)}_{9n,3n}$ as flavor symmetry and the generalized CP symmetry. All possible residualsymmetries and their consequences for the prediction of the mixing parametersare studied. We find that only one type of mixing pattern is able toaccommodate the measured values of the mixing angles in both "direct" and"variant of semidirect" approaches, and four types of mixing patterns arephenomenologically viable in the "semidirect" approach. The admissible valuesof the mixing angles as well as CP violating phases are studied in detail foreach case. It is remarkable that the first two smallest $D^{(1)}_{9n,3n}$groups with $n=1, 2$ can fits the experimental data very well. Thephenomenological predictions for neutrinoless double beta decay are discussed.

Lepton Mixing Predictions from Infinite Group Series $D^{(1)}_{9n, 3n}$ with Generalized CP