  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 $SU(3)\times SU(2) \times U(1)$. It
has the same perturbation expansion as the conventional one. However, it may
describe nature in a different way at the energies compared to the triviality
bound (of about 1 Tev). In this paper we present a possibility to observe this
difference assuming that the gauge group of the Standard Model is embedded into
the gauge group of an {\it a priory} unknown model, which describes physics at
a Tev scale. This difference is related to the monopole content of the theory.
We illustrate our results by consideration of the Petite Unification of quarks
and leptons.
