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CRISP (Computing with Radicals, Injectors, Schunck classes and Projectors) provides algorithms for computing subgroups of finite soluble groups related to group classes. In particular, it allows computing F-radicals and F-injectors for Fitting classes (and Fitting sets) F, F-residuals for formations F, and X-projectors for Schunck classes X. In order to carry out these computations, the group classes F and X must be given by an algorithm which decides membership in the group class. Moreover, CRISP contains algorithms for the computation of normal subgroups invariant under a prescribed set of automorphisms and belonging to a given group class. This includes an improved method to compute the set of all normal subgroups of a finite soluble group, its characteristic subgroups, and the socle and p-socles for given primes p.
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