As a minimal extension to the standard model, the electroweak group SU(2) c
ircle times U(1) circle times U ' (1) is considered to examine the possibil
ity of an electroweak phase transition. The extended symmetry is broken by
the doublet Higgs and isospin singlet bosons. An effective potential is pro
posed which makes the Z ' boson enter into the standard model scenario due
to radiative correction. Constraints on the masses of the Z ' and Higgs bos
on due to perturbative expansion at zero and finite temperature as well as
loop expansion are calculated. There is a strong first-order electroweak ph
ase transition at T-c around 125 GeV for reasonable mass values of the Higg
s and Z ' boson.