Recently Babu, Ma, and Valle proposed a model of quark and lepton mixing based on A(4) symmetry [Phys. Lett. B 552, 207 (2003)]. Within this model, the lepton and slepton mixings are intimately related. We perform a numerical study in order to derive the slepton masses and mixings in agreement with present data from neutrino physics. We show that, starting from threefold degeneracy of the neutrino masses at a high-energy scale, a viable low-energy neutrino mass matrix can indeed be obtained in agreement with constraints on lepton flavor violating mu and tau decays. The resulting slepton spectrum must necessarily include at least one mass below 200 GeV which can be produced at the CERN Large Hadron Collider. The prediction for the absolute Majorana neutrino mass scale m(0)greater than or equal to0.3 eV ensure that the model will be tested by future cosmological tests and neutrinoless double beta decay searches. Rates for lepton flavor-violating processes l(j)-->l(i)+gamma in the range of sensitivity of current experiments are typical in the model, with BR(mu-->egamma)greater than or similar to10(-15) and the lower bound BR(tau-->mugamma)>10(-9). To first approximation, the model leads to maximal leptonic CP violation in neutrino oscillations.