I didn't know your father, and was not in his unit, but I can provide you with a littlemilitary history of his regiment.
The 112th Infantry Regiment was in the 28th Infantry Division, one of three IR out of the Pennsylavania National Guard (109th IR, 110th IR, 112th IR), plus other elements.
The 112th IR departed Boston POE 8 Oct 43; arrived in England 18 Oct 43; landed in France 22 Jul 44; crossed into Belgium 7 Sep 44; crossed into Holland 8 Sep 44; entered Germany 11 Sep 44 (attached 5th Armored Division 13-16-Sep 44); (attached 8th ID 15-19-44); returned to Belgium 18 Dec 44) (attached to 106th ID 19-23 Dec 44); (attached to 30th ID 5-1 Jan 45); entered Germany again 21 Feb 45; (attached to 78th ID 19-25 Apr 45); returned to Boston POE 3 Aug 45.
Unit was probably being staged back in the US for the planned invasion of Japan later in 1945.
The 112th IR was at Camp Shelby, MS, at war's end, 15 Aug 45.
Normandy Northern France Rhineland Ardennes-Alsace Central Europe.
The division entered combat 27 Jul 44, and was on the line 196 days, during which it lost: 2,316 Killed in Action 9,609 Wounded in Action 367 Died from Wounds
Casualty rate of approximately 100%
You might look up the designated units individual histories for an insight into the division's operations.
If you can't find the information, I will be pleased to sort it out for you, without charge, of course.