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In order to explain the fermions masses and mixing parameters appearing inthe lepton sector of the Standard Model, one proposes the extension of itssymmetry. A discrete, non-abelian subgroup of $U(3)$ is added to the gaugegroup $SU(3)_{C}\times SU(2)_{L}\times U(1)_{Y}$ . Apart from that, one assumesthe existence of one extra Higgs doublet. This article focuses mainly on themathematical theorems and computational techniques which brought us to theresults.

The discrete family symmetry as a possible solution to the flavour problem