Cast-a-Word

There are four dice, and there are different letters of the alphabet on the six faces of each of them. (Each letter appears only once.) Random throws of the dice produced the words in this list:

BITE HELM BREW JUMP CLAY JURY FLEW HELM MUTE NIGH QUIZ RAGE POST TILE TREK ZERO TROD

Can you figure out which letters appear on each of the four dice? (Provide your output alphabetically for each die.)

Source: Delphi For Fun Newsletter #87