Short answers, pulled from the story.
Field Marshal Fedor von Bock became the first commanding officer of Army Group Centre. He led the unit from its creation until his relief on the 18th of December 1941 following the failure of the Battle of Moscow.
Nazi Germany and its Axis allies launched their offensive into the Soviet Union on the 22nd of June 1941. This attack involved armies totaling under four million men advancing eastward toward Leningrad, Moscow, and Ukraine.
Operation Bagration launched on the 22nd of June 1944 marked the third anniversary of Germany's own invasion. The 850,000-strong Army Group Centre was almost completely destroyed by the attack which resulted in over 450,000 Germans being killed wounded or captured.
Operation Bamberg ran from the 26th of March to the 6th of April 1942 south of Bobruisk. The 707th Infantry Division supported by a Slovakian regiment killed at least 5,000 people including many civilians during this campaign.
Hitler renamed three army groups on the 25th of January 1945 making Army Group Centre fight in Slovakia and Bohemia-Moravia. Some elements continued to resist until the 11th of May 1945 during the Prague Offensive before surrendering to Soviet forces.