The β-decay of 32 Na has been studied using β-γ coincidences. New transitions and levels are tentatively placed in the level scheme of 32 Mg from an analysis of γ -γ and β-γ -γ coincidences. The structure of nuclei along the valley of stability is well understood in terms of the traditional magic numbers, corresponding to large gaps in single-particle energy levels of nucleons in realistic mean-field theories including a spin-orbit interaction. The evolution of the shell closures far from stability is, however, a subject of intense scrutiny. In particular, experimental studies have shown a breaking of magicity of the N = 20 [1][2][3] and the N = 28 [4,5] configurations for neutron-rich nuclei. Key nuclei in their respective regions, such as 32 Mg and 44 S, display large quadrupole collectivity arising from their prolate deformation. Over the years (and with the steady increase of computing power), shell model calculations have led to a better understanding of the magicity disappearance in certain regions of the nuclear chart (for a recent review, see Ref.[6] and references therein). In the case of the N = 20 shell closure, the so-called "island of inversion" around 32 Mg is due to low energy fp-intruder states competing with the standard sd-orbitals, giving rise to the deformed configurations.Despite many experimental studies, significant features of the 32 Mg level scheme are still unknown. In fact, only the first excited state at 885 keV is firmly assigned as a 2 + state [7]. The other excited states have, at best, only received a tentative assignment. Of interest is the location of the 4 + state to shed