We suggest the model with the gauge group ... ⊗ SU (6) ⊗ SU (5) ⊗ SU (4)⊗ SU (3)⊗ SU (2)⊗ U (1). This group is the infinite continuation of the gauge group SU (4) ⊗ SU (3) ⊗ SU (2) ⊗ U (1) of Farhi -Susskind model. The constructed model contains fermions from the fundamental representations of any SU (N ) subgroups of the gauge group. In the construction of the model we use essentially the requirement that it posseses an additional discrete symmetry Z that is the continuation of the Z 6 symmetry of the Standard Model. It has been found that there exists such a choice of the hypercharges of the fermions that the chiral anomaly is absent while the symmetry Z is preserved.