We present a study of the reaction e(+)e(-) --> pi(+)pi(-)pi(0) at the phi peak, W = M(phi) = 1019.4 MeV, observed with the KLOE detector at DAPhiNE. The reaction is dominated by phi production and decay, e(+)e(-) --> phi --> pi(+)pi(-)pi(0). From a fit to the Dalitz plot density distribution we obtain the rho-meson parameters for its three charge states. We also find the relative amplitudes for phi --> rhopi and phi --> pi(+)pi(-)pi(0) and the cross section for e(+)e(-) --> omegapi(0) with omega --> pi(+)pi(-). (C) 2003 Published by Elsevier Science B.V.