The proton-rich isotope 56Cu was produced at the GSI On-Line Mass Separator by means of the 28Si( 32S, p3n) fusion–evaporation reaction. Its β-decay properties were studied by detecting β-delayed γ rays and protons. A half-life of 93±3 ms was determined for 56Cu. Compared to the previous work, six new γ rays and three new levels were assigned to the daughter nucleus 56Ni. The measured Gamow–Teller strength values for five 56Ni levels are compared to shell-model predictions.