Is your middle picture the drive to the pump?three more...
I thought the same thing. I wonder if the shafts are held in the coupler by the set screws??I've used LoveJoys and others with the same design and it "kind of" looks like 1/2 of one.
I think it was installed using half of the coupler to connect the two shafts by either mating up the keyways (unlikely, but possible) or using the setscrews to tighten down on each shaft. This is usually impossible since the two shafts are almost always different diameters.It looks like two of the 3 pieces of that coupler are missing, unless I don't understand what I'm looking at.