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We present a study of multimode effects in dissociative electron attachment to CF3Cl molecules using a time-independent version of the local complex potential theory. Symmetric stretch C-Cl vibrations v3 and symmetric deformation (or so-called umbrella) vibrations v2 are included. The neutral and anion potential energy surfaces are calculated using the second-order Møller-Plesset perturbation theory with an empirical adjustment of the vertical attachment energy. The final-state vibrational distribution in the CF3(v2) fragment is dominated by the v2=2 state. We also find an increase in the total cross section as compared with the one-dimensional calculations. This is explained by an increase in the anion survival probability.