]> 2010-03-19T02:23:52-07:00 ACIC-group Term Nilpotent not implies ACIC Quaternion group Direct product of D8 and Z2 Dihedral group:D8 Dihedral group:D16 Hereditarily ACIC-group Satisfies property Fact about Characteristic subgroup-closed group property Satisfies metaproperty Page class Characteristic subgroup Automorph-conjugate subgroup Defining ingredient GAP-codable group properties Characteristic quotient-closed group properties Group properties obtained via the subgroup property collapse operator Group properties Nonstandard terminology Terminology local to the wiki