/* www-ATLAS of Group Representations. 12a.L3(4):2a represented as 48 x 48 matrices over GF(25). */ F:=GF(25); x:=CambridgeMatrix(3,F,48,\[ 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, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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13,13,7,10,5,19,23,19,24,23,15,23,0,5,14,2,1,18,7,16,2,17,8,19,9,4,14,1,9,6,8,24,23,24,10,20,19,3,2,16,15,22,11,1,0,4,19,8, 15,22,0,2,7,19,17,20,0,3,1,16,20,8,15,6,22,17,7,18,11,22,5,2,14,2,13,13,6,8,2,7,11,18,22,7,1,16,15,21,24,16,15,0,11,9,4,4, 17,6,5,17,2,16,11,3,0,19,12,13,17,12,24,18,1,14,0,7,13,4,3,23,7,1,8,1,12,7,10,4,14,3,24,9,20,13,15,7,7,19,4,22,13,6,18,9, 1,20,0,0,7,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 5,22,8,15,21,7,5,16,8,20,0,18,12,21,9,23,22,19,0,0,18,11,12,0,0,13,0,3,7,17,3,18,18,11,2,1,9,18,5,10,18,7,8,13,14,8,5,15, 23,19,14,7,24,7,21,12,15,16,24,16,2,5,19,2,18,21,14,24,14,21,1,13,6,18,12,9,5,17,0,1,17,11,3,10,23,16,12,3,11,12,6,2,2,11,14,15, 8,21,15,21,16,7,3,13,20,15,19,17,16,23,2,1,13,7,2,10,7,0,6,22,13,12,23,0,13,4,19,11,16,19,14,0,14,24,19,3,8,1,6,23,5,16,23,19, 19,14,19,14,7,7,13,1,6,3,24,16,1,8,5,13,12,7,3,15,19,3,6,12,5,12,18,19,17,22,22,4,4,17,17,16,4,8,15,9,5,5,20,11,4,10,19,16, 23,1,16,2,0,2,15,17,22,15,6,4,23,9,2,13,2,5,12,24,24,18,6,7,24,1,19,5,18,7,14,8,17,7,18,3,21,14,9,21,13,1,14,11,4,8,12,19, 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, 7,8,9,5,0,20,7,22,13,6,2,3,19,0,21,21,8,23,20,17,3,20,23,2,8,24,3,2,21,21,15,18,24,20,19,24,11,11,5,11,10,19,8,17,9,3,1,8, 16,17,9,20,0,0,0,0,0,0,0,0,0,0,23,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,5, 17,4,0,0,16,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]); G:=MatrixGroup<48,F|x,y>; print "Group G is 12a.L3(4):2a < GL(48,GF(25))";