/* www-ATLAS of Group Representations. J1 represented as 56 x 56 matrices over GF(49). */ F:=GF(49); x:=CambridgeMatrix(3,F,56,\[ 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, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,7,28,25,9,9,20,26,19,45,0,24,23,17,13,38,0,8,18,3,32,0,31,30,45,48,13,24,27,46,38,20,18,11,11,11,39,36,12,22,16,39,20,22,26,37,4,2,8,11,4,1,45,30,41,2, 40,35,8,2,10,34,8,8,13,8,24,7,33,24,13,8,37,15,13,48,39,40,8,38,46,30,20,15,25,9,6,34,11,40,45,36,27,22,30,20,36,34,44,8,37,3,33,45,6,22,20,32,29,46,15,43, 27,41,10,25,43,35,24,16,11,23,12,19,29,6,20,2,22,5,47,6,34,0,16,12,34,33,10,0,34,31,41,11,32,23,3,0,41,34,28,18,41,2,44,21,31,19,18,9,5,38,38,22,30,30,13,33]); G:=MatrixGroup<56,F|x,y>; print "Group G is J1 < GL(56,GF(49))";