Let G be a group with the identity element e. The intersection graph of subgroups of G, denoted by \(\Gamma (G)\) , is a graph whose vertex set is the set of all non-trivial proper subgroups of G and two distinct vertices H and K are adjacent if and only if \(H\cap K\ne \{e\}\) . In this paper, we study the strong metric dimensions of intersection graphs of subgroups of finite abelian groups. We also determine the strong metric dimensions of intersection graphs of subgroups of some finite non-abelian groups are given, including the generalized quaternion groups, dihedral groups, and modular groups. Furthermore, we investigate the metric dimensions of intersection graphs of subgroups of finite cyclic groups, dihedral groups, and generalized quaternion groups.
