We investigate the phenomenology of an extension of the Standard Model (SM) by a non-Abelian gauge group $\mathrm{SU}(2{)}_{\mathrm{HS}}$ where all SM particles are singlets under this gauge group, and a new scalar representation $\ensuremath{\phi}$ that is singlet under SM gauge group and doublet under $\mathrm{SU}(2{)}_{\mathrm{HS}}$. In this model, the dark matter (DM) candidates are the three mass-degenerate dark photons ${A}_{i}$ ($i=1$, 2, 3) of $\mathrm{SU}(2{)}_{\mathrm{HS}}$, and the hidden sector interacts with the (SM) particles through the Higgs portal interactions. Consequently, there will be a new $CP$-even scalar $\ensuremath{\eta}$ that could be either heavier or lighter than the SM-like Higgs. By taking into account all theoretical and experimental constraints such as perturbativity, unitarity, vacuum stability, non-SM Higgs decays, DM direct detection, and $M$ relic density, we found viable DM is possible in the range from GeV to TeV. Within the viable parameters space, both of the triple Higgs coupling and the di-Higgs production at LHC14 could be enhanced or reduced depending on the scalar mixing and the mass of the scalar particle $\ensuremath{\eta}$.
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