... 2) difference sets to construct images (96, 20, 4) difference sets in groups of order 32 and then used those images to construct (96, 20, 4) difference sets in GAP[96,221] and GAP[96,231] The difference ... possible (96, 20, 4) difference sets in some 72 groups groups of order 96, those groups that have both factor groups of order 32 and 24 Table lists the Groups of order 96 which admit a (96, 20, 4) difference ... results with the results that have been done before we have 90 groups of order 96 that admit (96, 20, 4) difference sets We have 121 groups that not admit (96, 20, 4) difference sets We have 20 groups...