end vs fag end

end and fag end both are nouns.

Word	Noun	Adjective	Verb	Adverb
end	Yes	No	Yes	No
fag end	Yes	No	No	No

As nouns, fag end is a hyponym of end; that is, fag end is a word with a more specific, narrower meaning than end:

end: a piece of cloth that is left over after the rest has been used or sold
fag end: the frayed end of a length of cloth or rope

As nouns, fag end is a hyponym of end; that is, fag end is a word with a more specific, narrower meaning than end:

end (noun)	fag end (noun)
the part you are expected to play	the frayed end of a length of cloth or rope
(American football) a position on the line of scrimmage, designating players at each end of the defensive line	the time of the last part of something
a piece of cloth that is left over after the rest has been used or sold
a final part or section
the state of affairs that a plan is intended to achieve and that (when achieved) terminates behavior intended to achieve it
the last section of a communication
the final stage or concluding parts of an event or occurrence
either extremity of something that has length
a boundary marking the extremities of something
the surface at either extremity of a three-dimensional object
one of two places from which people are communicating to each other
(football) the person who plays at one end of the line of scrimmage
a final state
the point in time at which something ends

end (verb)	fag end (verb)
bring to an end or halt
put an end to
have an end, in a temporal, spatial, or quantitative sense; either spatial or metaphorical
be the end of; be the last or concluding part of