ALOGICAL is a playable word

alogical Scrabble® Dictionary

adjective
being outside the bounds of that to which logic can apply
63 Playable Words can be made from "ALOGICAL"
   2-Letter Words (10 found)
   3-Letter Words (17 found)
   5-Letter Words (8 found)
   6-Letter Words (3 found)
   7-Letter Words (3 found)
   8-Letter Words (1 found)