[Mobhack]

From what I gather from my reading, they liked to put together a batallion of each main type to make a 2 batallion battle group (tank + infantry) and then basically manouvre as double teams (a tank co + inf co working together, with the individual platoons then also "married up" in supporting pairs).

Not so much of the post-war NATO type of a tank bn swapping out a coy for a mech coy from a panzergrenadier bn and so on. They seemed to like to keep the batallions unsplit as whole items. Though of course they might lend a tank coy to a rifle bn, which would then split that to individual platoons in direct support of rifle coys but really that was the stugs and panzerjaeger's (ie artillery branch units, not panzers) task/mode of operations. The germans seemed to prefer thier armour coys (and bns as well) to be left concentrated as whole formations, not penny-packeted out except in cases of extreme need.

So thier battle groups seem to have been more what the French would have called a "demi-brigade" - ie made up of 2 bns of the brigade/regiment acting in concert + added brigade/regimental level assets if needed (engineers, recce, arty, AAA etc) as a "top-up".