Question: What group can be the quotient of the free group over the generators of the group?
Sentence: The dihedral group D4, for example, can be generated by two elements r and f (for example, r = r1, the right rotation and f = fv the vertical (or any other) reflection), which means that every symmetry of the square is a finite composition of these two symmetries or their inverses.
Answer in sentence: no