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