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A code is called propelinear if its automorphism group contains a subgroupthat acts regularly on its codewords, which is called a propelinear structureon the code. In the paper a classification of the propelinear structures on theNordstrom-Robinson code is obtained and the question of extension of thesestructures to propelinear structures of the Hamming code, that contains theNordstrom-Robinson code. The result partially relies on a representation of allpartitions of the Hamming code into codes with parameters of Nordstrom-Robinsoncode via Fano planes which is given in the paper.

On the extention of propelinear structures of Nordstrom-Robinson code to Hamming code