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