The directed and elliptic flows in collisions of ¹¹²Sn+¹¹²Sn at energies from 35 to 90 MeV/nucleon are studied in an isospin-dependent quantum molecule dynamics model. With increasing incident energy, the directed flow rises from negative to positive. Its magnitude depends on the nuclear equation of state (EOS). However, the elliptic flow decreases with increasing incident energy and its magnitude is not very sensitive to EOS. Systematic studies of the impact parameter dependence and the cluster mass dependence are also performed. The study of directed flow at intermediate energies thus provides a means of extracting the information on the nuclear equation of state.