The main directions of the German offensive in the summer of 1941?

The Wehrmacht had three army groups: North, Center and South. The first attacked Leningrad through the Baltic states and Pskov. She failed to achieve the main goals, Leningrad was never taken, and at the end of November they were defeated near the city of Tikhvin.

Army Group Center advanced on Moscow and by December was stopped, and then the Red Army launched a counteroffensive and by February 1942 pushed it back a little to the east, from Tula, Yelets, Tver, Kaluga.

Army Group South advanced through Lvov to Kiev and further to Kharkov and Donbass. She was stopped near Rostov-on-Don in November 1941.