The 24Mg(ot, a') 12C+12C reaction was studied by measuring 12C fragments in coincidence with inelastically scattered a-particles at E,=120 MeV. Both 12C fragments were identified using the AE-E technique. The measured angular correlations indicate that the 12Cg~ + 12Cg S decay channel is dominated by decay of L = 2 strength, which yields an integrated fraction of 0.14% of the E2 EWSR strength in comparison with 22.2% of the E2 EWSR strength observed in singles inelastic a-scattering experiments in the same excitation energy region.