[en] We deconstruct the non-supersymmetric SU(5) breaking by discrete symmetry on the space-time M⁴ x S¹ and M⁴ x S¹/(Z₂ x Z₂^') in the Higgs mechanism deconstruction scenario. Also we explain the subtle point of how to exactly match the continuum results with the latticized results on the quotient space S¹/Z₂ and S¹/(Z₂ x Z₂^'). We also propose an effective deconstruction scenario and discuss the gauge symmetry breaking by the discrete symmetry on the theory space in this approach. As an application, we suggest the G^N unification where G^N is broken down to SU(3) x SU(2) x U(1)^n-3 by the bifundamental link fields and the doublet-triplet splitting can be achieved. (orig.)