From: "Ken W. Smith"Subject: non-solvable groups of order 120 Date: Tue, 26 Mar 1996 18:57:26 +0000 Hi, A recent investigation in combinatorial designs leads me to the following question. How many non-solvable groups of order 120 are there? There is S_5, the symmetric group on 5 symbols and Z_2 x A_5, the direct product of a cyclic group of order 2 with the alternating group on 5 symbols. Are there any other groups? In particular, if I have a commuting involution s and G/ is isomorphic to A_5, then is G = Z_2 x A_5? Why? Thanks in advance, Ken --------------------------------------------------------------------------- Ken W. Smith, Professor of Mathematics Interim Director, Office of Institutional Research "In the future Central Michigan University, Mt. Pleasant, MI 48859 computers may weigh Work phone: 517-774-7222, fax: 517-774-4250 as little as 1.5 tons." Home phone & FAX: 517-772-5042 Popular Mechanics, 1949