The core-excited states of Al III have been studied both experimentally and theoretically. The calculation of energy levels and lifetimes was performed by the multiconfiguration Hartree-Fock method, with Breit-Pauli relativistic corrections taken into account, and included the 2p5 3s3p, 3p2, 3s3d, and 3s4s configurations. The experimental data were obtained by the beam-foil method. A level scheme involving quartet levels of the 2p5 3s3p, 3p2, and 3s3d configurations has been established. Autoionization is the dominant decay channel for the levels belonging to the 2p5 3p2 and 3s3d terms, and only for a few levels of these terms, the dominant decay mode is an optical transition to a 2p5 3s3p level. This is in disagreement with preliminary results from a recent optical study of the Al III system [Martinson et al., Nucl. Instrum. Methods B31, 188 (1988)]. Differences and similarities with the recently studied isoelectronic quartet systems of Na I and Mg II are discussed.