System 1 has group of order 640 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,6}{1,8,3,9}{5,7,10} {0,5,2,7}{4,8,6,9}{1,3,10} {0,8,2,9}{1,5,3,7}{4,6,10} {1,4,3,6}{5,8,7,9}{0,2,10} ----------------------------------- System 2 has group of order 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,6}{1,8,5,9}{3,7,10} {0,5,2,10}{3,8,7,9}{1,4,6} {0,7,2,8}{3,4,9,6}{1,5,10} {1,3,5,7}{4,8,6,10}{0,2,9} ----------------------------------- System 3 has group of order 16 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,6}{1,8,5,9}{3,7,10} {0,5,2,10}{3,8,7,9}{1,4,6} {0,8,2,9}{3,4,10,6}{1,5,7} {1,3,5,10}{4,8,6,9}{0,2,7} ----------------------------------- System 4 has group of order 16 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,5}{1,8,6,9}{3,7,10} {0,6,2,7}{3,8,4,9}{1,5,10} {0,8,2,9}{1,3,5,7}{4,6,10} {1,4,3,6}{5,8,7,9}{0,2,10} ----------------------------------- System 5 has group of order 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,5}{1,8,6,9}{3,7,10} {0,6,2,10}{4,8,7,9}{1,3,5} {0,8,2,9}{1,7,5,10}{3,4,6} {1,4,10,6}{3,8,5,9}{0,2,7} ----------------------------------- System 6 has group of order 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,4,2,5}{1,8,6,9}{3,7,10} {0,7,2,10}{3,8,5,9}{1,4,6} {0,8,2,9}{3,4,10,6}{1,5,7} {1,3,5,10}{4,8,7,9}{0,2,6} ----------------------------------- System 7 has group of order 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,2,4,8}{1,5,9,7}{3,6,10} {0,5,10,7}{2,8,6,9}{1,3,4} {0,6,4,10}{1,8,3,9}{2,5,7} {1,6,2,10}{3,5,8,7}{0,4,9} ----------------------------------- System 8 has group of order 4 {0,1,2,3}{4,5,6,7}{8,9,10} {0,2,4,8}{1,5,9,6}{3,7,10} {0,4,3,5}{2,8,6,10}{1,7,9} {0,6,3,9}{2,5,8,7}{1,4,10} {0,7,5,10}{2,6,4,9}{1,3,8} ----------------------------------- System 9 has group of order 20 {0,1,2,3}{4,5,6,7}{8,9,10} {0,2,4,8}{1,5,9,6}{3,7,10} {0,4,9,7}{1,3,5,8}{2,6,10} {0,6,3,9}{2,5,7,8}{1,4,10} {1,7,2,9}{3,4,6,8}{0,5,10} ----------------------------------- System 10 has group of order 10 {0,1,2,3}{4,5,6,7}{8,9,10} {0,2,4,8}{1,5,7,9}{3,6,10} {0,4,6,9}{1,3,8,7}{2,5,10} {0,5,8,6}{2,7,3,9}{1,4,10} {1,6,2,8}{3,4,9,5}{0,7,10} ----------------------------------- System 11 has group of order 8 {0,1,2,3}{4,5,6,7}{8,9,10} {0,2,4,6}{1,8,5,9}{3,7,10} {0,5,3,8}{1,4,9,7}{2,6,10} {0,7,2,9}{3,4,8,6}{1,5,10} {1,3,9,6}{2,5,7,8}{0,4,10} -----------------------------------