Standard Model may be defined with the additional discrete symmetry, i.e.with the gauge group $SU(3)\times SU(2) \times U(1)/{\cal Z}$ (${\cal Z} =Z_6$, $Z_3$ or $Z_2$) instead of the usual $SU(3)\times SU(2) \times U(1)$. Ithas the same perturbation expansion as the conventional one. However, it maydescribe nature in a different way at the energies compared to the trivialitybound (of about 1 Tev). In this paper we present a possibility to observe thisdifference assuming that the gauge group of the Standard Model is embedded intothe gauge group of an {\it a priory} unknown model, which describes physics ata Tev scale. This difference is related to the monopole content of the theory.We illustrate our results by consideration of the Petite Unification of quarksand leptons.