  The present study entails the augmentation of the $\Delta$(54) flavor
symmetry model by including the ISS mechanism by two Standard Model Higgs
particles, achieved by the inclusion of different flavons. The matrices are
discussed numerically in the framework of the $\Delta(54)$ flavor model with
the ISS mechanism for Majorana neutrinos. We introduced Vector like (VL)
fermions and a Weyl fermion, which are gauge singlets in the Standard Model. We
restrict the undesirable terms in our Lagrangian using additional symmetry. Due
to the addition of additional flavons, the precise tribimaximal neutrino mixing
pattern deviates, resulting in the creation of a non-zero reactor angle
$\theta_{13}$. We found that the atmospheric oscillation parameter
($\theta_{23}$) occupies the upper octant under the normal hierarchy situation.
We also study the CP violation ($\delta_{CP}$) , Jarlskog invariant parameter
($J$), and Neutrinoless double-beta decay parameter ($m_{ee}$) in the parameter
space of the normal hierarchy model to see whether they accord with the most
recent neutrino observations.
