/* 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", "00000000000000000000100000", "22110001010010111210100000", "00000000000000100000000000", "00000000000000000000000100", "00000000000000001000000000", "11000021211021020000020000", "22001112122012112011202100", "00000000000000000001000000", "22000001011021220022000220", "00112220201021021000100002"]); 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", "10012220210001202221202101", "01102211000101220100010110", "00000000000000010000000000", "01222020020020012001200012"]); G:=MatrixGroup<26,F|x,y>; print "Group G is TF4(2)' < GL(26,GF(3))";