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Let G be a finite group with a non-abelian minimal normal subgroup N which is a direct product of copies of the simple group X. A parametrisation is given for the conjugacy classes of maximal subgroups of G which complement N in terms of certain homomorphisms taking values in Aut X.doi:10.1080/00927870601142306 fatcat:cffyhwttcnfnfkctcwc4yexjlu