[en] The spin-3/2 perturbations of the extreme Reissner-Nordstrom black holes are analysed by linearizing the field equations of O(2) extended supergravity theory with respect to the Rarita-Schwinger fields. It is proven that, in contrast to the all other black holes, the extreme Reissner-Nordstrom geometry does admit a class of static, regular, non-trivial spin-3/2 perturbations. The spin-3/2 fields which belong to this class are shown to carry the conserved spinor supercharge as a new parameter. The linearized form of a possible exact black hole solution of the O(2) supergravity theory possesses a mass, central charges as well as supercharge is thereby obtained. (Author)