Date: Mon, 15 Apr 1996 11:01:15 +0100 (BST)

Are the following two groups of order 120^2 distinct? The group of
symmetries of the regular 4-polytope {5,3,3} which has 120 dodecahedral
faces and GXG where G is the group of symmetries of the regular
dodecahedron? What non abelian groups of that order are there?

Roger Fenn