Standard Model effective field theory (SMEFT) serves as a powerful and rigorous framework for systematically characterizing deviations from the Standard Model. However, due to its model-independent nature, there is an inevitable trade-off resulting in a significant increase in the number of independent parameters. We discuss the charting of the SMEFT parameter space by incorporating a range of flavor assumptions based on the global continuous symmetry groups. The interplay between the flavor symmetries and the UV mediators, yielding valuable phenomenological insights, is outlined accordingly. Expanding upon this analysis, we extend the list of flavor symmetries in the leptonic sector by adding three well-motivated discrete groups, namely $A_4$, $A_5$, and $S_4$. The analysis of the relevant UV mediators under these flavor assumptions is performed, which includes the extraction of flavor tensors as well as the derivation of SMEFT matching relations. Particular emphasis is placed on the leptonic directions, for which a comprehensive phenomenological analysis is conducted.