/* www-ATLAS of Group Representations. 2.A12 represented as 32 x 32 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,32,[ "01000000000000000000000000000000", "66000000000000000000000000000000", "62400000000000000000000000000000", "00001000000000000000000000000000", "00066000000000000000000000000000", "00000001000000000000000000000000", "00000000010000000000000000000000", "00000606000000000000000000000000", "00000000000010000000000000000000", "00000060060000000000000000000000", "00000000000000010000000000000000", "00000000000000000100000000000000", "00000000600060000000000000000000", "00000000000000000000100000000000", "00000000000000000000001000000000", "00000000006000060000000000000000", "00000000000000000000000001000000", "00000000000600000600000000000000", "00000000000000000000000000010000", "00000000000000000000000000000100", "00000000000006000000600000000000", "40564000302220666614134001055550", "00000000000000600000006000000000", "10351000604445555561651402023330", "00000000000005004032640226000640", "00000000000000006000000006000000", "00000000000001003002640000264600", "00000000000000000060000000060000", "30213000405556114143113000066220", "00000000000000000006000000000600", "60426000103334224266426001024410", "60426000103336224254256105050502"]); y:=CambridgeMatrix(1,F,32,[ "46000000000000000000000000000000", "00100000000000000000000000000000", "00010000000000000000000000000000", "00000100000000000000000000000000", "00000010000000000000000000000000", "00000000100000000000000000000000", "00000000001000000000000000000000", "00000000000100000000000000000000", "00000000000001000000000000000000", "00000000000000100000000000000000", "00000000000000001000000000000000", "00000000000000000010000000000000", "00000000000000000001000000000000", "00000000000000000000010000000000", "00000000000000000000000100000000", "00000000000000000000000010000000", "31240100000514510100021000000000", "00000000000000000000000000100000", "00000000000000000000000000001000", "00000000000000000000000000000010", "20632000501113335343022036066660", "00200433000131512412451000305600", "00000000000000000000000000000001", "62410264040320324200002000002000", "46530400500000260040006000000020", "16314010605426163513043065055550", "00000000000001001053260100006260", "50145000206661443422245051030110", "31040444000454001403260320006302", "50145000206660440441245333111103", "62210642050326515632151415402134", "15322551310002452036455600005450"]); G:=MatrixGroup<32,F|x,y>; print "Group G is 2.A12 < GL(32,GF(7))";