The angular distribution of the products of the C-14 + C-12 reaction at the energies E (cm) = 22.1, 23.5, and 24.6 MeV has been studied near a 23.5-MeV quasimolecular resonance. Channels with the yield of Be-8,Be-9,Be-10 have been considered for various excitation energies of the residual nucleus. The results have been analyzed within the cluster and DWBA models. It has been shown that an approach based on the assumption of direct processes reproduces the features of the angular distributions. Oscillations corresponding to the formation of a quasimolecular resonance with an angular momentum of 12(+) have been detected near the resonance.