word order - Hyphen's writing problem

I'm new in this website so if my question is inappropriate, obviously tell me.. Sorry in advance :D

I'm writing a sentece and in this sentence there are two words that are near. These two words are: self-esteem and group-esteem.

Is it correct in English to put this words like this: self and group-esteem ?

(the complete sentence is: The process of comparison is automatic when there is a categorial distinction whose aim is the increase of self and group-esteem)

Thank you! :)