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