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