1) the divine power, deity, divinity
2) a spirit, a being inferior to God, superior to men
3) evil spirits or the messengers and ministers of the devil
Part of Speech: noun neuter
Citing in TDNT: 2:1, 137
Neuter of a derivative of G1142; a daemonic being; by extension a deity: - devil, god.
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root δαιμόνιον; click on the second column to search for that grammatical form of the root δαιμόνιον; click on the third column to search for that word and grammatical form; click on the total to search for the root δαιμόνιον.