We shall discuss the group-0 of all Euclidean congruences (fixing the origin) of the remarkable lattice A discovered by John Leech [6], [7] in connection with close-packing of spheres in 24 dimensions. We preface this discussion by a description of the Steiner system S(5, 8, 24) which appears in the construction of A and underlies
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John H. Conway (1969) studied this question.