/* 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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1,16,0,10,3,18,7,5,1,17,3,5,1,22,11,23,0,12,22,15,14,3,18,16,5,2,3,9,23,1,8,8,18,12,8,16,5,11,10,18,20,20,14,12,21,22,21,5, 8,6,11,15,18,4,14,11,17,10,9,1,23,21,17,9,19,4,2,9,23,20,1,20,16,18,0,13,24,11,6,22,18,5,12,23,5,7,5,21,22,4,13,13,18,20,17,18, 22,16,20,18,18,9,23,20,1,14,6,8,13,8,11,6,6,5,2,12,12,18,3,19,23,17,0,6,15,24,10,21,14,24,9,19,8,2,9,3,15,8,13,8,0,14,17,19, 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, 21,15,4,5,5,22,20,5,14,4,19,19,13,3,3,5,5,7,21,0,24,0,24,7,23,21,13,8,11,9,23,4,2,12,16,20,6,8,22,10,19,16,6,13,9,12,12,5, 8,19,6,4,6,22,7,6,1,3,2,22,13,17,23,9,10,15,14,5,12,18,13,4,11,2,22,16,10,24,4,5,5,10,1,2,9,15,12,0,20,2,6,22,11,12,3,18, 7,13,5,20,5,1,4,10,21,21,8,12,3,9,6,0,4,8,11,6,16,23,13,20,18,3,16,9,9,20,18,3,14,19,19,2,23,15,24,17,12,17,22,22,23,23,1,9, 11,3,10,14,20,24,8,13,18,13,24,14,5,24,9,24,10,5,0,14,13,5,23,4,1,10,18,21,10,22,22,24,17,8,5,14,7,13,2,13,5,11,18,2,14,2,6,16, 8,9,5,2,15,13,16,4,23,6,4,9,14,7,20,3,19,5,21,6,13,24,23,14,4,8,10,0,2,17,12,4,24,11,9,9,23,10,14,23,11,20,10,2,2,2,14,0, 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, 2,14,4,18,4,2,19,9,23,10,6,8,6,19,7,1,2,3,2,6,24,23,24,11,7,12,22,17,13,8,7,18,3,23,24,22,24,12,24,16,3,11,18,10,0,10,7,24, 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))";