This is another easy problem to solve. First separate into electrical or mechanical causes:
Electrical Issues
First question, "Is the pump motor running?" On front loaders the pump noise is distinctive. Turn on the pump by selecting the Drain Spin Cycle or going onto the diagnostic mode and selecting Drain. A dead pump usually means a bad pump. Confirm that 110VAC is present at the pump winding. In most cases power will be present and the problem will actually be the pump itself.
GE Adora Pump
Mechanical Issues
If the pump is humming or warm, there is a mechanical issue. This will be the usual case. There is always the possibility of a kinked or clogged drain hose. Aways check that first. Corrugated hoses are less prone to kinking then solid rubber ones.
Kinked Rubber Drain Hose
1. Check to see if the pump or inlet to the pump is clogged. Inspect and fix it. Some of these small pumps will sound like they are working or even worse they will pump fine when you test them and yet they will fail after you leave the job. The pump may be just weak or quits after heating up. If the washer is full of water clamping pliers can be very helpful.
Useful Radiator Hose Clamping Pliers
Clogged Whirlpool Duet Pump (behind lower panel)
Kenmore by LG Pump
Pin in GE Pump
Debris often gets past the sump filter and into the pump impeller.