In the hierarchy of police ranks, a Detective Sergeant (DS) is not higher than a Detective Inspector (DI). The rank of Detective Sergeant is positioned below that of Detective Inspector. To clarify, the typical progression in the detective ranks starts with Detective Constable (DC), followed by Detective Sergeant (DS), then Detective Inspector (DI), and finally Detective Chief Inspector (DCI). Each rank carries different responsibilities and levels of authority, with the Detective Inspector overseeing the work of Detective Sergeants and their teams. Therefore, while both ranks are crucial within the police force, the Detective Inspector holds a higher position than the Detective Sergeant.