# Semantic search

Center-fixing automorphism-invariant subgroup, Central factor, Characteristic subgroup, Characteristic transitively normal subgroup, Characteristically complemented characteristic subgroup, Cofactorial automorphism-invariant subgroup, Complemented central factor, Complemented normal subgroup, Conjugacy-closed normal subgroup, Direct factor, Endomorphism kernel, Fully invariant subgroup, Homomorph-containing subgroup, IA-automorphism-balanced subgroup, Image-closed characteristic subgroup, Injective endomorphism-invariant subgroup, Injective endomorphism-quotient-balanced subgroup, Intermediately characteristic subgroup, Intermediately endomorphism kernel, Isomorph-containing subgroup, Left-transitively permutable subgroup, Normal subgroup having no nontrivial homomorphism to its quotient group, Normal-extensible automorphism-invariant subgroup, Power subgroup, Purely definable subgroup, SCAB-subgroup, Strictly characteristic subgroup, Sub-homomorph-containing subgroup, Transfer-closed fully invariant subgroup