That's because in 1942 an Army Flak Battalion was attached to most mobile divisions as 4th Battalion of the divisional Artillery Regiment. This Army Flak Battalion was made up of three batteries, first and second with a light platoon with three 20mm Flak and a heavy platoon with four 88mm Flak 18/36/37 while the third battery had twelve 20mm guns. In 1943, however, these battalions were moved away from the Artillery Regiment and subordinated to the divisional staff directly.
In 1941 the divisional anti-tank battalion of a mobile division had one integral Flak company with self-propelled guns of the SdKfz 10/4, SdKfz 10/5 and SdKfZ 7/1 type (except 3rd, 19th and 20th Panzer Division - these had none) while 17th and 18th Panzer Divisions had to use pulled flak guns.
Some divisions even added a flak company to each motorized infantry / Panzergrenadier Battalion in late 1941, but this was by no means universal.
Source: Osprey Battle Orders - Panzer Divisions: The Eastern Front 1941 - 43
PS: The issue with the attached company from 52nd Self Propelled Flak Battalion is likely a typo. I guess it means one battery of this battalion was attached to the unit.
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