Dang, looks like waistcoat, jacket, then a regular coat without the arms in the sleeves in both pics...but you can't see if there are any arms....if there aren't any sleeves then maybe its something like those French police capes...

The guy in the left background in the bottom pic doesn't seem to have any sleeves showing...so maybe just a cape like them French police capes.

But then why put bottons on the front of the thing if there are no sleeves or armholes?? How could you even button it up without help from a friend. Weird garment. Guessing our historical experts have an answer...please....??

Ron