We found that initial excitons (computed at the initial geometries from ground-state Langevin MD) are strongly localized. However, they undergo even further extremely ultrafast localization during first femtoseconds of nonadiabatic dynamics with a time constant of 6-7 fs. After that, the nπ * excitons stay localized throughout the dynamics and normally no exciton transfer occurs between monomers while aggregates evolve in the nπ * manifold. Only a few trajectories demonstrated the exciton transfer during dynamics in the nπ * states. In addition, we observed that the exciton transfer may be realized through population of the higher lying ππ * states or through upward hops from the ground state (reached, in turn, via internal conversion) to excited states.