Why did Charles de Gaulle replace Georges Pompidou as prime minister after the May 1968 crisis?

Charles de Gaulle replaced Georges Pompidou as prime minister in July 1968 primarily because he perceived Pompidou as a growing political rival. During the events of May 1968, Pompidou had demonstrated significant "toughness and nerve" while managing negotiations with labor unions and employers, whereas de Gaulle had temporarily lost his bearings and appeared incapable of understanding or grappling with the crisis.1

Following the Gaullists' landslide victory in the June 1968 elections, de Gaulle used the opportunity to reorganize his cabinet and remove Pompidou, replacing him with Maurice Couve de Murville. Despite this dismissal, Pompidou maintained his influence within the Gaullist party and eventually succeeded de Gaulle as president in 1969.12