German Units on the Italian Front

[Alien]

I am trying to research which German Air units went to Italy to support the Caporetto Offensive, and what dates they were there, and what planes the flew.
For the Jastas The Jasta Pilots gives the units and dates:
Jasta 1 Sep '17-13 Mar '18.
Jasta 31 20 Sep '17-13 Mar '18.
Jasta 39 20 Sep '17-13 Mar '18.
I'd guess the planes were mostly Albatros D.V with some D.III and D.Va but would appreciate any confirmation.

For other units I found 4 in various posts here (Boxing Day Raid), which also mentioned aircraft in three cases. To get more, I looked in CotGAS. The list below is all the units I've found with the earliest and latest dates from CotGAS and planes from the forum.
FA 2 16 Nov 17 - 27 Feb 18 (DFW C.V)
FA 14 2 Nov 17 - 30 Nov 17
FA 17 15 Nov 17 - 25 Jan 18
FA 39 25 Oct 17 - 21 Nov 17
FA 204 7 Nov 17 - 16 Dec 17
FA 219A 6 Nov 17 - 28 Jan 18 (DFW C.V)
FA 232A 16 Oct 17 - 12 Jan 18
Bogohl 4 26 Dec 17 - 20 Feb 18 (AEG G.IV)
RHBZ 1 1 Jan 18 - 12 Jan 18

If anyone has any additional units, better informational on arrival/departure dates, or aircraft information it would be greatly appreciated.