/* www-ATLAS of Group Representations. 12b.L3(4):2a represented as 96 x 96 matrices over GF(25). */ F:=GF(25); x:=CambridgeMatrix(3,F,96,\[ 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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21,2,18,23,11,22,3,21,11,9,3,19,3,6,8,14,9,24,9,18,13,16,4,14,17,20,11,12,11,23,18,5,15,3,10,19,1,0,5,5,9,23,8,16,19,19,11,14,18,23,0,15,12,21,22,24,3,5,0,21,22,13,2,7,2,24,15,7,9,22,5,23,8,14,0,14,2,16,15,0,19,2,5,23,9,5,2,22,5,19,0,12,12,21,14,23, 13,2,17,23,17,3,6,11,10,16,10,11,22,21,2,14,15,0,21,15,13,11,16,14,23,22,11,14,18,21,23,18,13,14,19,16,8,12,24,21,19,0,24,20,14,17,3,6,1,16,15,1,7,20,20,24,4,17,19,6,19,1,7,4,5,4,24,9,24,18,8,15,11,13,9,4,21,10,1,16,22,18,20,0,10,19,3,10,24,24,24,9,22,12,11,17, 6,11,9,19,20,14,0,5,17,15,14,10,15,15,12,22,7,7,19,1,18,2,5,8,10,18,8,21,7,5,4,6,5,0,9,7,16,0,2,12,10,12,20,9,3,0,13,9,23,3,2,6,1,11,4,23,21,11,4,20,2,13,6,2,12,19,20,4,1,16,10,18,2,2,6,21,6,7,16,18,5,20,20,10,4,7,0,10,21,19,0,11,15,19,1,11, 20,10,14,10,1,7,13,16,0,14,9,4,14,16,9,24,17,17,11,18,3,5,22,1,21,22,19,14,8,12,22,17,10,6,4,5,20,20,23,1,18,17,11,9,16,19,19,0,21,22,19,12,16,17,3,6,0,21,5,7,15,15,1,12,22,21,15,14,2,19,5,16,18,12,6,2,5,3,23,3,8,9,6,22,23,10,24,6,5,16,10,6,12,23,22,9, 15,8,0,9,15,24,4,20,23,16,0,22,18,6,16,3,11,13,19,4,16,13,19,1,15,2,5,12,19,12,15,8,0,16,11,8,13,18,15,17,10,4,6,22,3,11,0,24,0,12,17,10,23,14,7,13,11,14,18,2,14,20,9,6,4,11,6,20,22,24,6,10,19,19,11,11,19,10,0,2,12,23,21,14,6,4,22,24,14,19,10,16,21,3,9,15, 1,19,6,11,2,21,6,16,19,3,4,22,11,12,8,0,10,3,17,1,10,7,11,3,24,4,11,13,9,23,24,3,8,24,21,12,9,1,11,5,13,20,17,9,23,22,11,22,21,5,5,14,10,13,3,21,11,16,12,14,13,20,17,4,21,19,7,22,10,7,13,11,8,24,24,24,19,18,7,3,0,18,11,12,20,6,19,20,8,21,18,4,15,8,17,19, 21,14,24,18,18,16,12,17,24,23,9,11,20,0,3,10,21,21,15,19,2,10,16,13,2,16,22,11,13,16,11,13,8,23,3,19,13,1,11,14,22,15,19,17,2,5,17,16,9,24,1,6,6,10,3,23,14,10,22,3,21,22,22,3,19,5,6,11,2,3,24,18,23,18,3,17,3,15,10,2,17,0,10,11,4,13,6,20,12,3,14,23,9,6,3,0, 5,12,23,11,2,19,20,3,13,5,18,0,5,1,13,2,20,15,13,0,16,12,21,18,10,15,23,21,7,22,17,18,20,13,17,12,7,23,21,15,19,1,6,1,1,6,2,2,22,12,10,20,11,1,10,10,16,2,19,16,1,0,4,22,22,1,6,7,13,8,22,19,4,1,0,22,0,4,20,20,21,20,7,2,21,6,24,18,23,6,17,6,6,22,9,7, 24,18,4,8,8,12,16,16,2,14,22,8,15,12,22,23,16,13,2,23,12,9,24,8,15,13,8,2,13,18,21,19,9,1,14,8,12,10,23,10,9,10,22,4,11,9,8,17,8,10,18,4,9,8,5,1,1,20,14,2,20,18,13,4,0,20,7,22,2,6,2,22,12,11,0,15,14,14,20,2,6,21,16,12,11,12,21,0,10,1,20,5,10,2,1,13, 23,10,3,14,1,7,13,9,20,13,14,13,5,10,21,10,6,5,11,2,24,4,19,5,15,16,8,21,2,3,16,9,17,4,23,15,1,19,14,0,13,10,9,2,7,4,6,20,19,16,14,3,9,6,23,22,3,12,8,2,19,4,7,3,3,0,10,2,7,6,24,23,14,6,2,9,5,0,12,18,13,14,16,21,15,11,19,6,10,12,24,10,21,7,20,17]); G:=MatrixGroup<96,F|x,y>; print "Group G is 12b.L3(4):2a < GL(96,GF(25))";