Take agitator apart - Speed Queen AWS52NW Top Load Washer

have a look at this link might help.
washing machine agitates really slow Google Search

Usually once you take off the agitator cap and remove the bolt just pull up on the top half of the agitator and it will snap right up. Take note to the position of the plastic washer and how it fits. This will make it much easier to reassemble. I will bet that the dogs are the problem. The way to check them is to try and turn the top of the agitator back forth while holding the bottom. It should turn one way but not the other. If it slips at all, replace the dogs. About $8- $10.

Could be a Major issue! Unless the agitator will unhook from inside the tub. See if the Very Top of the agitator unscrews. If it does then the agitator should come up. The motor is directly connected to or part of the agitator shaft.

Please check this link for tips to replace : Agitator

simply reach under the base of the whole agitator and pull upward,it may take some considerable pulling for it to release,then theres a 7/16" bolt to remove the agitator spline

well,,, that is how is done. soap and dirt would make it harder to do but that is how you do it.

should be able to just lift agitator off the shaft check threads on agitator and shaft

If the agitator does not work, then depending on make, it could be your clutch or transmission or belt tension. Agitators are pushed on type(To remove pull up), but removing it will not solve problem, if agitator is not worn out.

Pop the top off the agitator. There is a slot for a flat screwdriver on the top side.
Remove the 7/16 bolt.
Pull the agitator apart.
Replace the agitator dogs inside the top part.
Parts about $5.00.at any appliance parts store.

The parts are called agitator dogs,the top half of the agitator should pull away from the bottom half.