For the rest of the month, the division was engaged in heavy fighting for the bocage country near Saint Lô and Coutances. During this period, the "Götz von Berlichingen" suffered heavy losses and by the beginning of July, its strength was reduced to 8,500 men. The division was in the line of advance for Operation "Cobra", and suffered heavy losses attempting to halt the Allied offensive. It was encircled by the U.S. 2nd Armored Division around Roncey where it lost most of its armored equipment. It was then ordered to take part in the Mortain Offensive, codenamed Operation "Lüttich". After the failure of this offensive, the division was split into four "Kampfgruppen", 'Braune', 'Gunter', 'Fick' and 'Wahl'. These small units managed to escape encirclement in the Falaise Pocket, but suffered heavy losses and remained in almost constant combat against the advancing Americans until the end of the month, when the division was transferred to Metz for a much-needed rest and refit.