From the description you give most likely the control is at fault.
You say the outlet has power but you don't make clear how this was checked. If not with a volt meter then plug a hair dryer or drill into the outlet to make sure there is power.
If there is power then the only thing left to to check the connections are tight at the control.
The image below will help with this.
Remember to unplug the washer first.
There is a P5 connector with a black and white wire that must have 120 volts.
I don't suggest live voltage checks unless you are extremely comfortable and confident using a meter.
If you do not feel confident repairing this problem yourself, then you can have it repaired at your home by a Sears technician. Here is a link for the website:
Sears Home Services
Any parts you might need can be obtained from the following link: