Addendum to "Low-energy phenomenology of some supersymmetricE6-breaking patterns"

Using the techniques of our earlier work we analyze two additional patterns of supersymmetric ${\mathrm{E}}_6$-breaking patterns that pass through the intermediate group $\mathrm{SU}\left(5\right)\mathrm{}\times {\mathrm{U}\mathrm{}\left(1\right)\mathrm{}}_x$. The results we obtain for these two patterns are similar to those obtained earlier. The predictions for the proton lifetime, electroweak mixing angle, and properties of the second $Z$ boson are given for each pattern.