/* www-ATLAS of Group Representations. TF4(2)' represented as 26 x 26 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,26,[ "01000000000000000000000000", "10000000000000000000000000", "00010000000000000000000000", "00100000000000000000000000", "00000100000000000000000000", "00001000000000000000000000", "00000000100000000000000000", "00000000010000000000000000", "00000010000000000000000000", "00000001000000000000000000", "00000000000001000000000000", "22220000000200000000000000", "00000000000000010000000000", "00000000001000000000000000", "00000000000000000010000000", "00000000000010000000000000", "22001112121011212020000000", "00000000000000000000100000", "00000000000000100000000000", "00000000000000000000000100", "00000000000000000100000000", "00110001011011210022020200", "22221112121021020101102100", "00000000000000000001000000", "22000000000010110111100120", "11112221212022220021000102"]); y:=CambridgeMatrix(1,F,26,[ "11000000000000000000000000", "00100000000000000000000000", "02200000000000000000000000", "00001000000000000000000000", "00000010000000000000000000", "00000001000000000000000000", "00010000000000000000000000", "00000000001000000000000000", "00000000000100000000000000", "00000000000010000000000000", "00000100000000000000000000", "00000000000000100000000000", "00000000000000001000000000", "00000000000000000100000000", "00000000100000000000000000", "00000000000000000001000000", "00000000010000000000000000", "00000000000000000000010000", "00000000000000000000001000", "00000000000000000000000010", "00000000000000000000000001", "00000000000001000000000000", "00000202212211211121012010", "00112212201220200100101010", "00000000000000010000000000", "02012122111102100022000100"]); G:=MatrixGroup<26,F|x,y>; print "Group G is TF4(2)' < GL(26,GF(3))";