How Do I Take Apart A Ge Top Load Washer?

I had this problem before and found that the pump was clogged.
Can you hear the pump start up when the spin cycle engages? If not, the pump may be burnt up or the timer on your washer may be bad.
Not sure if this is the same problem that you have, but know that a clogged pump will not allow the water to drain.
Once you have siphoned the water from the tub, you could unplug the washer, take the back panel off, then tip the washer for better access to the pump.
Remove the pump, take it to your kitchen sink and run water into the intake to see if it is flowing through. It could have something like a sock stuck in it. If the water is not flowing through the pump, then it is most likely clogged. You should be able to look inside the input and output to see if there is anything stuck in it. Also, check the hoses that you disconnected to the pump to make sure they are clear.
If the pump and hoses are okay, then I would suspect that the timer on your washer has gone bad.