/* www-ATLAS of Group Representations. L3(3):2 represented as 26 x 26 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,26,[ "01000000000000000000000000", "10000000000000000000000000", "00010000000000000000000000", "00100000000000000000000000", "00000010000000000000000000", "00000001000000000000000000", "00001000000000000000000000", "00000100000000000000000000", "00000000000100000000000000", "00000000000010000000000000", "00000000000000100000000000", "00000000100000000000000000", "00000000010000000000000000", "00000000000000000010000000", "00000000001000000000000000", "00000000000000000000010000", "01111011111100110101110000", "00000000101100110100010000", "00000000000001000000000000", "10110110110011000101001110", "00001000110001001001001110", "00000000000000010000000000", "00000000000000000000000001", "11110000000001000010000100", "00111111001000110000011011", "00000000000000000000001000"]); y:=CambridgeMatrix(1,F,26,[ "00100000000000000000000000", "01100000000000000000000000", "00001000000000000000000000", "00000100000000000000000000", "10101000000000000000000000", "00000000100000000000000000", "00000000010000000000000000", "00000000001000000000000000", "10011100100000000000000000", "00000000000001000000000000", "00000000000000010000000000", "00000000000000001000000000", "00000000000000000100000000", "00000000000000000001000000", "00000000000000000000100000", "00000000000000000000001000", "00000000000000000000000100", "00000000001001010110010000", "00000000000000000000000010", "00000010000000000000000000", "11110000000101000010110100", "00000001001010000101000010", "00000001000000000000000000", "01110101101010101100100000", "11001010111010110101110000", "00000001001011101101100101"]); G:=MatrixGroup<26,F|x,y>; print "Group G is L3(3):2 < GL(26,GF(2))";