]> 2010-03-12T09:11:03-08:00 Normal not implies normal-potentially characteristic Fact Normal not implies strongly potentially characteristic Potentially characteristic not implies semi-strongly potentially relatively characteristic Potentially characteristic not implies normal-potentially characteristic Normal not implies normal-potentially relatively characteristic Weaker than Normal-potentially characteristic implies normal-extensible automorphism-invariant Normal-extensible not implies normal Uses Stronger than Dihedral group:D8 Particular example Page class Normal-potentially characteristic subgroup Normal subgroup Fact about Subgroup property non-implications