/* www-ATLAS of Group Representations. L3(7).2 represented as 56 x 56 matrices over GF(2). */ F:=GF(2); x:=CambridgeMatrix(1,F,56,[ "01000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000", "00000000000000000010000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000", "00000000000000000000001000000000000000000000000000000000", "00000000000000000000000010000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000", "00000000000000000000000000001000000000000000000000000000", "00000000000000000000000000000010000000000000000000000000", "00000000000000001000000000000000000000000000000000000000", "00000000000000000000000000000000010000000000000000000000", "00000000000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000100000000000000000000", "00000000000000000000000000000000000001000000000000000000", "00000000000000000000000000000000000000010000000000000000", "00000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000000000000000010000000000000", "00000000000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000000001000000000", "00000000000000000000000100000000000000000000000000000000", "00000000000000000000000000000000000000000000000001000000", "00000000000000000000000001000000000000000000000000000000", "00000000000000000000000000000000000000000000000000001000", "00000000000000000000000000100000000000000000000000000000", "00000000000000000000000000000000000000000000000000000010", "00000000000000000000000000010000000000000000000000000000", "00000000000000000000000000000000000000000000000000000001", "10011111010011001011110011011111111110110011010011001101", "00000000000000000000000000000100000000000000000000000000", "01000011000011010011001001111110100111001010110011001001", "00000000000000000000000000000001000000000000000000000000", "01011011110010001000010011101001011011111101100110010000", "00000000000000000000000000000000100000000000000000000000", "01000011101100000000011011001000011101001100100000111100", "11001011101111100010100010001100010100100110101110011001", "00000000000000000000000000000000001000000000000000000000", "01001001110111110110111100101111001011101111011011101100", "11100010001001111110101111010110010101010011011111101010", "00000000000000000000000000000000000010000000000000000000", "10100001100101011111000101000101100110001111010010001010", "00000000000000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000001000000000000000"]); y:=CambridgeMatrix(1,F,56,[ "00100000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000", "00111101000000000000000000000000000000000000000000000000", "10100100000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000", "11101101000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000", "10111110010001000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000000000", "00000000000000000000010000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000000000", "00000000000000000000000001000000000000000000000000000000", "00000000000000000000000000100000000000000000000000000000", "00000000000000000000000000010000000000000000000000000000", "00000000000000000000000000000100000000000000000000000000", "00000000000000000000000000000001000000000000000000000000", "00000000000000000000000000000000100000000000000000000000", "00000000100000000000000000000000000000000000000000000000", "00000000000000000000000000000000001000000000000000000000", "00000000000000000000000000000000000010000000000000000000", "00000000000000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000100000000000000", "00000000001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000010000000000", "00000000000000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000000000000010000000", "00000000000000000000000000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000010000", "00000000000010000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000100", "11100111101000011100001001001101100010011111000010000010", "10000000111101001110001000110011000110001011101011110000", "01011011001110010011001100111101100000110111000010000010", "11110110001011110110001101110011000011001111000010101011", "01100100010000100000101100011001001110001110110000101011", "11100011000111110111001111100100011011110100011110110101", "11110101000010111100011001011101100011100010110110001011", "00000000000000010000000000000000000000000000000000000000", "11011101010110101000010011100100010110001110111000100100", "00011101000011100110011100100011001011000100111101100110", "11100101011101001010010000001011110110100010101011110011", "10111100110000111010101010001110001110101101100001100111", "10010101000010000000110100111110101010100100110101110010", "10001010010110001010110010111110001001111101100001000101", "00111010011111110000110011001001101101110001011000001111", "00010011110001111110000011110011011101100000001111100111", "00110010101100010100101111001011100100101111111010110100", "00011110110010000010010101100001100010011100110101110000"]); G:=MatrixGroup<56,F|x,y>; print "Group G is L3(7).2 < GL(56,GF(2))";