After reading up on the problem of the agitator not working it sounds like the dogs are bad. This agitator is one piece so where are the dogs located?
Answer Dennis, A "one piece" agitator 63235 does not have dogs, If your agitator is Slipping on the agitator shaft, you will need to replace it. The "splines" are stripped and worn allowing the shaft to rotate inside the agitator assembly. You'll need to carefully force the center cap up and off the agitator, with a screwdriver, remove the 7/16" hex bolt, and lift the agitator off the shaft, clean all the debris off the shaft, and reverse the procedure..