Yes, groan is a Scrabble word!
...and is worth 6 points in Scrabble, and 8 points in Words with Friends
groan
Verb
1. Indicate pain, discomfort, or displeasure
Noun
1. An utterance expressing pain or disapproval
What Scrabble words can I make with the letters in groan?
5 Letter Words
4 Letter Words
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3 Letter Words
2 Letter Words