Hyperquasicenter and supersoluble property of group

To study the hyperquasicenter and 4 order cyclic subgroup of G by its completely conditionally permutable properties,and by the method of minimal order counterexample proves: Suppose that the minimal subgroup of G is contained in the hyperquasicenter Q∞(G) and 4 order cycle subgroup is completely conditionally permutable in G,then G is supersoluble group.