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Our aim is to establish some signatures of the extra gauge boson${Z^\prime}$, predicted in two versions of ${SU (3)_C \times SU (3)_L \times U(1)_X}$ model and to show possible differences between these signatures. First,by considering the process $e^+ + e^- \longrightarrow \mu^+ +\mu^- $, we obtainsome observables and next, by considering additional hadronic final states, weobtain lower bounds for $M_{Z^\prime}$, within 95% C.L.. We also include ourpreliminary results concerning $p \bar p$ and $p p$ collisions in order tosupport our conclusions about the possibility to discriminate the variousversions of 3-3-1 model.  From our analysis we conclude that linear colliders can show a clearsignature for the existence of $Z^\prime$ predicted in the 3-3-1 model and alsothat it can discriminate the versions.Comment: 24 pages, 10 figures and 1 table. Accepted for publication in Eur.  Phys. J.

Extra neutral gauge boson from two versions of the 3-3-1 model in future linear colliders