Complex sentence: While the 9th Infantry Division was working to push the Germans out of Cherbourg and with continued fighting yet in the city, Howley's A1A1 detachment exercised its mission authority, augmented and reconstituted the local government, and got the city functioning again.
Split into simpler sentences: While the 9th Infantry Division was working to push the Germans out of Cherbourg and with continued fighting yet in the city, Howley's A1A1 detachment exercised its mission authority. He augmented and reconstituted the local government, and got the city functioning again.