The wartime US intelligence document below gives a good overview of the organisation of German armour recorvery and maintenance.

http://www.lonesentry.com/articles/ttt08/german-tank-maintenance-recovery.html

Recommended reading.

The picture below shows the heavy recovery vehicle in action, in this case on captured almost certainly during CRUSADER, when the workshops of both German armoured divisions fell into the hands of the Allied troops.

Note the size of the driver in this monster of a half-track.

TANK HOSPITAL IN THE WESTERN DESERT. A CAPTURED GERMAN FAMO ZUGKRAFTWAGEN F3 18 TON HALF TRACK HAS BEEN PUT TO VERY GOOD USE FOR HAULING A DAMAGED BRITISH CRUSADER TANK BACK TO THE HOSPITAL. Courtesy AWM.