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Fifteen strongly oscillating angular distributions of the elastic scattering of 12 C + 24 Mg at energies around the Coulomb barrier (E c.m. = 10.67-16.00 MeV) are reproduced by adding five Breit-Wigner resonance terms to the l = 2, 4, 6, 7, and 8 elastic S matrix. The nonresonant, background elastic scattering S matrix S 0 l is calculated using the São Paulo potential. The J = 2, 4, 6, 7, and 8h molecular resonances fit well into a rotational molecular band, together with other higher lying resonances observed in the 16 O + 20 Ne elastic scattering. We propose that the presently observed, largely deformed molecular band corresponds to the hyperdeformed band, which has been found previously in α-cluster calculations, as well as in a new Nilsson model calculation. Systematic study of its possible clusterizations predicts the preference of the 12 C + 24 Mg and 16 O + 20 Ne molecular structure, in accordance with our present results.

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