The magnetic dipole moment of the 1(+) ground state of the T = 1 nucleus C-32(17)15 has been measured to be mu = 1.114(6)mu(N) using conventional beta-NMR spectroscopy. Polarized Cl-32 nuclei were produced by fragmentation of a 100 MeV/nucleon Ar-36 beam in a 642 mg/cm(2) Nb-93 target, where the beam was incident on the target at an angle 2.5 degrees to the normal beam axis. The desired Cl-32 fragments were filtered from ether fragmentation products using the A1200 fragment separator and implanted in a NaCl single crystal, maintained at room temperature, at the center of a beta-NMR apparatus. The Larmor frequency was determined by measuring the beta-decay asymmetry as a function of the applied radio-frequency field. Isoscalar and isovector moments for the A = 32, T = 1 isospin multiplet are extracted and compared with large-basis shell model calculations.