[en] A possibile existence of three quark and lepton generations of the horizontal symmetry group is discussed. The SU(3)sub(H) group is considered as an example of such a group. Besides the SU(3)sub(H) group, an additional local group of the U(1)sub(H) symmetry, related to the horizontal Ysub(H) hypercharge, is introduced. Unification of the SU(3)sub(H)xU(1)sub(H) symmetry with the SU(5) symmetry leads to the universal SU(8) unification of all quark-lepton flavors