Short answers, pulled from the story.
Operation Compass began on the night of the 8th of December 1940 and concluded in late January 1941 with the surrender of Italian forces. The final phase involved British forces capturing prisoners from Benghazi to Agedabia by early February.
Marshal Rodolfo Graziani took command after Governor-General Italo Balbo was killed by friendly fire on the 19th of June 1940. Enrico Mannella led XXII Corps at Tobruk while General Annibale Bergonzoli commanded the XXIII Corps garrison at Bardia.
Over 25,000 prisoners were captured between Benghazi and Agedabia alone. Total Italian losses across all engagements exceeded 130,000 prisoners taken throughout the entire campaign.
Nibeiwa camp fell on the 9th of December 1940 while Sollum and Halfaya Pass were captured by the 15th of December 1940. Fort Capuzzo fell in late December and Tobruk surrendered on the 22nd of January 1941.
British success resulted from effective maneuver warfare using the 7th Armoured Division to outflank fortified positions. Conservation tactics during supply lulls allowed jock columns to defeat Italians despite initial lack of integration between tanks and infantry.