Realise it's a long shot but it's a postcard so someone may have researched before? Link to old picture here - http://www.normandythenandnow.com/remembering-old-friends-on-d-day/ Thank you!
Their divisional patches (large square at top of arm) identify them as being members of the 50th Northumberland Infantry Division. Unfortunately their units patches (cloth banner above divisional patch) are too indistinct to make out what corps and unit they are from.
I have a copy of the exact same postcard and the patch at the top of the arm (in the semi-circle) very clearly says Hampshire. I'll see if I can get my scanner working and get a better pic than OP (sorry OP...). There is nothing on the back of the postcard other than saying its soldiers in Arromanches-les-bains, Normandy.