subsequent breaking of the $A_{4}$ and SM gauge symmetries due to the VEVs of the scalar fields $S_{3}, H_{1}, H_{3}, H'_{1}$ and $H'_{3}$, the charged lepton mass terms are given by $$\begin{aligned}
L_{l} &=& Y_{S2}\left[(V_{S} + \langle S_{1}\rangle)(l_{R3})^{c}l_{R3} + \langle S_{3}\rangle(l_{R3})^{c}(l_{R3} + l_{R1'} + l_{R1''}) \right] \nonumber \\
&+& Y_{4}\left[L_{L1}l_{R3}\langle H'_{3}\rangle + L_{L3}l_{R3}(\langle H'_{1} \rangle + \langle H'_{3}\rangle) + L_{L3}(l_{R1'} + l_{R1''})\langle H'_{3}\rangle \right]\nonumber \\
&+& Y_{5}\left[L_{L1}l^{(1)}_{R1}\langle H'_{1}\rangle + L_{L3}l^{(1)}_{R1}\langle H'_{3}\rangle\right] + Y_{6}\left[L_{L1}l^{(2)}_{R1}\langle H'_{1}\rangle + L_{L3}l^{(2)}_{R1}\langle H'_{3}\rangle\right].\end{aligned}$$ We take the VEVs of $H'_{3}$ and $H'_{1}$ to be $$\begin{aligned}
\langle H'_{3} \rangle = (V'_{3_1}, V'_{3_2}, V'_{3_3}) \quad {\rm and} \quad \langle H'_{1} \rangle = V'_{1} \;\;,\end{aligned}$$ which yields the $7\times7$ charged lepton mass matrix of the form $$\begin{aligned}
M_{l} = \left(\begin{array}{cccc|ccc}Y_{5}V'_{1} & Y_{6}V'_{1} & 0 & 0 & Y_{4}V'_{3_1} & Y_{4}V'_{3_2} & Y_{4}V'_{3_3} \\Y_{5}V'_{3_1} & Y_{6}V'_{3_1} & Y_{4}V'_{3_1} & Y_{4}V'_{3_1} & Y_{4}V'_{1} & Y_{4}V'_{3_3} & Y_{4}V'_{3_2} \\Y_{5}V'_{3_2} & Y_{6}V'_{3_2} & \omega Y_{4}V'_{3_2} & \omega^2 Y_{4}V'_{3_2} & Y_{4}V'_{3_3} & Y_{4}V'_{1} & Y_{4}V'_{3_1} \\Y_{5}V'_{3_3} & Y_{6}V'_{3_3} & \omega^2 Y_{4}V'_{3_3} & \omega Y_{4}V'_{3_3} & Y_{4}V'_{3_2} & Y_{4}V'_{3_1} & Y_{4}V'_{1} \\\hline 0 & 0 & Y_{S2}\langle S_{3} \rangle_{1} & Y_{S2}\langle S_{3} \rangle_{1} & Y_{S2}(V_{S} + \langle S_{1} \rangle) & Y_{S2}\langle S_{3} \rangle_{3} & Y_{S2}\langle S_{3} 