# Semantic search

1-automorphism-invariant subgroup, Automorph-commensurable subgroup, Automorph-conjugate subgroup, Characteristic-potentially characteristic subgroup, Elementarily characteristic subgroup, Finite direct power-closed characteristic subgroup, Fully invariant subgroup, Injective endomorphism-invariant subgroup, Intermediately characteristic subgroup, Isomorph-free subgroup, Lattice automorphism-invariant subgroup, Projectivity-invariant subgroup, Purely definable subgroup, Quasiautomorphism-invariant subgroup, Strictly characteristic subgroup, Surjective endomorphism-balanced subgroup, Transfer-closed characteristic subgroup