Democratic parameterization and analysis for 331 model as a subgroup of $SU(6)$

A democratic parameterization is introduced for $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_X$ extension of the Standard Model, which is inspired by $SU(6)$ symmetry. In the novel scenario all Cabibbo-Kobayashi-Maskawa mixing angles and quark masses, nine observable quantities in total, are predicted within 1$-$3 standard deviations of the experimental values with a minimum number of input parameters. The present work provides the thorough numerical analysis and correlations between input parameters and predicted quantities. ${\chi }^2\approx 0.67$ with $\mathrm{\forall }\sigma <0.61$ corresponds to the best global fit benchmark point. Benefits of the new parameterization and future prospects are discussed as well.