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The query [[Fact about.Page::Automorph-conjugate subgroup]] was answered by the SMWSQLStore3 in 0.0094 seconds.

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Automorph-conjugacy is centralizer-closed, Automorph-conjugacy is normalizer-closed, Automorph-conjugacy is not finite-conjugate-intersection-closed, Automorph-conjugacy is not finite-intersection-closed, Automorph-conjugacy is not finite-join-closed, Automorph-conjugacy is transitive, Characteristic implies automorph-conjugate, Endomorph-dominating not implies automorph-conjugate, Frattini's argument, Hall not implies automorph-conjugate, Hall not implies procharacteristic, Nilpotent not implies ACIC, Subgroup generated by commutator of generators of free group on two generators is automorph-conjugate