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