[[Survey article about::Characteristic subgroup]]

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	Survey article about
Between normal and characteristic and beyond	Normal subgroup Characteristic subgroup
Normal versus characteristic	Normal subgroup Characteristic subgroup
Subnormal-to-normal and normal-to-characteristic	Subnormal-to-normal subgroup Subnormal subgroup Normal subgroup Intermediately subnormal-to-normal subgroup Normal-to-characteristic subgroup Characteristic subgroup Intermediately normal-to-characteristic subgroup Pronormal subgroup Weakly pronormal subgroup Paranormal subgroup Polynormal subgroup NE-subgroup Image-closed intermediately subnormal-to-normal subgroup 2-subnormal subgroup Subgroup with self-normalizing normalizer Subgroup with abnormal normalizer Subgroup with weakly abnormal normalizer Isomorph-free subgroup Isomorph-containing subgroup Isomorph-conjugate subgroup Automorph-conjugate subgroup Intermediately characteristic subgroup Intermediately isomorph-conjugate subgroup Intermediately automorph-conjugate subgroup Procharacteristic subgroup Weakly procharacteristic subgroup Intermediately procharacteristic subgroup Paracharacteristic subgroup Polycharacteristic subgroup Intermediately paracharacteristic subgroup Ntermediately polycharacteristic subgroup Weakly characteristic subgroup Intermediately weakly characteristic subgroup Sylow subgroup Hall subgroup Contranormal subgroup Self-normalizing subgroup Weakly abnormal subgroup Abnormal subgroup
Varying characteristicity	Characteristic subgroup Intermediately characteristic subgroup Transfer-closed characteristic subgroup Image-closed characteristic subgroup Potentially characteristic subgroup Characteristic-potentially characteristic subgroup Normal-potentially characteristic subgroup Normal-potentially relatively characteristic subgroup Strictly characteristic subgroup Injective endomorphism-invariant subgroup Fully invariant subgroup Cofactorial automorphism-invariant subgroup Coprime automorphism-invariant subgroup Subgroup-cofactorial automorphism-invariant subgroup Isomorph-free subgroup Isomorph-containing subgroup Elementarily characteristic subgroup Monadic second-order characteristic subgroup Second-order characteristic subgroup Purely definable subgroup Second-order purely definable subgroup

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