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I am trying to find one specific subgroup of some group G. As subgroups are only accesible in case of permutation group I have to use Gp=G.as_permutation_group() and look for this subgroup in Gp. So i found generators of this subgroup in Gp and I want to come back to my original group G. To do this I need isomorphism ϕ:G→Gp. Are there any ways to get it or maybe the other way to solve the problem?