commiseration vs fellow feeling

commiseration and fellow feeling both are nouns.

Word	Noun	Adjective	Verb	Adverb
commiseration	Yes	No	No	No
fellow feeling	Yes	No	No	No

As nouns, fellow feeling is a hypernym of commiseration; that is, fellow feeling is a word with a broader meaning than commiseration:

commiseration: a feeling of sympathy and sorrow for the misfortunes of others
fellow feeling: sharing the feelings of others (especially feelings of sorrow or anguish)

Other hypernyms of commiseration include sympathy.

commiseration (noun)	fellow feeling (noun)
an expression of sympathy with another's grief	sharing the feelings of others (especially feelings of sorrow or anguish)
a feeling of sympathy and sorrow for the misfortunes of others