/* www-ATLAS of Group Representations. He represented as 51 x 51 matrices over GF(25). */ F:=GF(25); x:=CambridgeMatrix(3,F,51,\[ 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 8,18,2,4,17,13,16,13,11,23,20,12,18,21,5,7,13,18,13,21,16,4,23,20,7,10,0,18,4,19,22,21,23,18,6,18,17,24,2,20,3,2,12,14,16,7,3,2,20,13,4, 19,15,24,18,15,14,21,5,14,22,10,24,2,13,18,15,11,21,2,22,6,3,19,9,23,16,21,3,8,11,10,14,18,16,10,22,11,4,3,2,11,20,17,9,6,5,23,5,5,20,2, 12,15,8,0,20,3,6,17,24,22,4,20,6,2,19,19,12,4,14,17,16,10,13,21,16,18,17,20,0,24,2,12,24,4,24,7,0,19,5,24,18,22,8,5,1,14,5,1,24,11,7, 8,14,24,9,6,17,22,13,9,20,14,20,24,8,24,8,8,8,10,11,22,17,0,10,2,10,12,0,3,15,18,17,17,7,7,1,0,21,12,23,20,14,6,20,6,12,15,3,5,2,3, 13,13,24,13,13,20,22,10,15,13,0,13,23,0,13,15,13,4,8,23,23,21,17,14,4,20,15,19,19,3,0,6,13,23,23,3,5,20,24,6,8,9,17,24,22,3,8,2,17,9,3, 22,22,19,8,12,9,9,2,12,9,19,5,11,0,7,17,24,23,9,4,16,1,15,12,12,23,23,9,4,14,15,0,18,14,15,3,22,22,19,3,0,3,7,2,8,2,3,2,4,3,12, 18,7,4,21,5,8,2,1,6,3,14,8,4,8,5,16,11,11,10,10,11,4,10,22,22,23,4,4,11,6,19,13,9,14,2,19,7,23,12,7,22,19,21,1,13,15,10,17,11,6,7, 21,15,8,5,23,8,16,11,23,2,1,7,5,2,24,8,7,3,12,24,1,10,19,15,14,11,6,22,13,12,4,5,18,22,14,16,11,10,4,7,18,18,14,24,24,15,16,13,14,10,3, 6,1,13,8,20,20,6,19,15,12,8,13,15,5,19,18,9,22,1,15,8,4,5,2,15,24,5,13,8,3,1,3,13,3,12,2,16,4,13,23,19,0,8,3,6,10,12,14,16,14,17, 1,23,23,24,10,20,4,5,16,11,1,18,12,4,18,14,8,17,23,20,10,9,13,7,18,3,19,12,12,2,17,12,4,4,15,24,2,4,21,23,8,24,2,8,8,0,2,13,23,24,9, 20,13,0,14,4,6,20,0,5,17,21,22,22,9,15,4,14,11,17,6,16,11,8,11,16,21,18,24,9,15,0,1,23,12,10,15,6,2,13,10,23,23,15,18,21,8,21,19,12,22,18, 1,17,19,23,21,23,19,16,1,10,20,6,24,22,4,9,17,24,1,0,17,14,14,1,18,11,17,18,1,4,13,6,22,3,2,22,12,11,20,2,6,8,12,1,11,7,21,21,6,3,15, 22,4,18,23,19,0,19,7,20,8,21,1,3,9,3,7,13,19,22,6,11,10,7,23,8,20,13,24,18,18,15,24,9,22,8,8,12,24,20,17,2,1,20,21,6,11,24,11,7,23,20, 11,23,6,9,12,17,24,20,2,19,9,21,1,16,17,16,13,24,20,2,11,9,9,7,22,17,16,15,22,3,21,23,2,23,21,22,11,14,1,18,24,4,14,13,15,20,13,2,15,24,3, 19,11,4,22,13,23,16,24,0,12,0,9,0,8,23,7,0,13,15,10,2,23,10,3,23,19,16,19,3,24,11,14,3,15,6,24,8,6,20,8,3,12,4,16,15,14,22,23,12,6,24, 16,0,24,17,16,4,24,16,12,19,17,16,8,1,1,9,7,3,4,10,24,19,24,1,19,6,22,3,9,1,1,9,1,13,17,14,22,14,6,14,11,10,19,3,16,8,21,18,20,14,20, 0,5,5,12,8,12,6,1,3,20,0,2,13,11,13,14,16,3,5,18,5,22,7,4,4,23,6,11,11,7,9,2,3,4,5,11,4,9,0,0,1,2,20,5,0,22,24,9,18,6,20, 24,23,5,5,24,0,21,3,24,21,14,15,3,8,17,17,6,19,23,22,0,4,24,6,16,12,1,17,13,0,19,23,1,24,24,14,6,22,2,12,16,18,11,20,11,3,1,16,6,6,15, 20,18,15,6,19,17,4,6,5,12,12,19,23,11,19,20,23,16,3,10,18,16,14,18,2,0,11,9,8,11,20,22,19,2,21,3,6,1,22,17,19,1,4,20,9,3,14,5,18,1,3]); G:=MatrixGroup<51,F|x,y>; print "Group G is He < GL(51,GF(25))";