But the most common in Normandy will be PzKpfw IV Ausf. H, if i remember correct.
Ausf. H and J were both pretty common at this point. While the exact disposition of the tanks and their deployment locations is not something I know right off hand, the production numbers are as thus:
Ausf. H
Production began: April, 1943. Some sources indicate June, 1943. I have a feeling this is probably because it was produced out of Krupp, Vanomag, and Nibelungenwerke.
Production ended: July, 1944. Some sources suggest February, 1944. Again, I suspect it's because of the three producers.
Total made: 2,262~ vehicles. Some sources claim a higher number, but this doesn't count conversions into specialist variants.
Ausf. J
Production began: February, 1944
Production ended: April, 1945
Total made: 3,150~ vehicles. Some sources claim a higher number, but this doesn't count conversions into specialist variants.
Both fall within the time frame of the Normandy campaign, and they are the two most produced models of the Pz.Kpfw IV. Though it should be noted that the Ausf. J is a downgrade from the Ausf. H, having features removed for the sake of creating a vehicle that was easier and faster to produce.