  We present a minimal left-right symmetric flavor model and analyze the
predictions for the neutrino sector. In this scenario, the Yukawa sector is
shaped by the dihedral $D_4$ symmetry which leads to correlations for the
neutrino mixing parameters. We end up with four possible solutions within this
model. We further analyzed the impact of the upcoming long-baseline neutrino
oscillation experiment DUNE. Due to its high sensitivity, DUNE will be able to
rule out two of the solutions. Finally, the prediction for the neutrinoless
double beta decay for the model has also been examined.
