# Semantic search

1-automorphism-invariant subgroup, Abelian normal subgroup, Amalgam-characteristic subgroup, Amalgam-normal-subhomomorph-containing subgroup, Amalgam-strictly characteristic subgroup, Autoclinism-invariant subgroup, Bound-word subgroup, Center-fixing automorphism-balanced subgroup, Center-fixing automorphism-invariant subgroup, Characteristic central factor, Characteristic subgroup, Characteristic subgroup of direct factor, Characteristic transitively normal subgroup, Characteristic-potentially characteristic subgroup, Characteristically complemented characteristic subgroup, Class two normal subgroup, Cofactorial automorphism-invariant subgroup, Commutator-in-center subgroup, Complemented central factor, Complemented characteristic subgroup, Complemented fully invariant subgroup, Complemented homomorph-containing subgroup, Complemented normal subgroup, Complemented transitively normal subgroup, Complete characteristic subgroup, Complete direct factor, Conjugacy-closed normal subgroup, Coprime automorphism-faithful normal subgroup, Coprime automorphism-invariant normal subgroup, Cyclic isomorph-containing subgroup, Cyclic normal subgroup, Dedekind normal subgroup, Direct factor, Direct factor over central subgroup, Divisible normal subgroup, Elementary abelian normal subgroup, Endoclinism-invariant subgroup, Endomorphism kernel, Epimarginal subgroup, Finite direct power-closed characteristic subgroup, Finite normal subgroup, Finitely generated normal subgroup, Free-quotient subgroup, Fully invariant-potentially fully invariant subgroup, Hall-relatively weakly closed subgroup, Hereditarily normal subgroup, Homocyclic normal subgroup, Homomorph-containing subgroup, IA-automorphism-balanced subgroup, IA-automorphism-invariant subgroup