Friendship is not subject to a partial order, so the question is meaningless.
Also, realize the difference between a 'maximal' element (which exists for any partial order on a finite set) and a 'largest' element (which may not, if there are multiple maxima).
Also, realize the difference between a 'maximal' element (which exists for any partial order on a finite set) and a 'largest' element (which may not, if there are multiple maxima).