Finite groups all of whose abelian subgroups are QTI-subgroups

A subgroup H of a group G is called a QTI-subgroup if CG(x)⩽NG(H) for any 1≠x∈H, and a group is called AQTI-group if all of its abelian subgroups are QTI-subgroups. In this paper, we obtain a classification of the finite AQTI-groups.