  The phenomenology of the neutral scalar bosons in the compact 341 model is
discussed. We show that the predictions of this model are fairly good and
compatible with the experimental data by calculating the signal strength of
$h_1$ for the channels $b\bar{b}$, W$W^{*}$, Z$Z^{*}$, $\tau\bar{\tau}$ and
$\gamma\gamma$. Moreover, we use the branching ratios to search for the heavy
neutral scalar bosons $h_2$ and $h_3$ where we take into account the
theoretical constraints to precise the allowed ranges for the fundamental
parameters of the scalar potential.
