The thermodynamics of the small SH3 protein domain is studied by means of a simplified model where each beadlike amino acid interacts with the others through a contact potential controlled by a random matrix. Good folding sequences, characterized by a low native energy, display three main thermodynamical ensembles, namely, a coil-like ensemble, an unfolded globule, and a folded ensemble (plus two other states, frozen and random coils, populated only at extreme temperatures). Interestingly, the unfolded globule has some regions already structured. Poorly designed sequences, on the other hand, display a wide transition from the random coil to a frozen state. The comparison with the analytic theory of heteropolymers is discussed.