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Abstract: This paper is motivated by Ito''s paper ((Hokkaido) Math. J. 22 (1993) 373), in which he constructed -relative difference sets in . Chen and Li have shown that , the alternating group of degree 5, has a (30,2,29,14)-relative difference set (see Discrete Math. 256 (2002) 301). These are the only examples of nontrivial relative difference sets in nonsolvable groups known to the author. In this paper, we study relative difference sets in and show that there exist exactly two nontrivial relative difference sets in up to equivalence with the aid of a computer. [Copyright &y& Elsevier]