system 0
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,9,7}{3,6,10}
{0,4,9,6}{1,3,5,8}{2,7,10}
{0,5,2,9}{1,6,4,10}{3,7,8}
{0,7,5,10}{1,4,3,9}{2,6,8}
has group of order 4
  0  1  2  3  4  5  6  7  8  9 10
  5  4  7  6  0  1  2  3 10  9  8
r0->r0 r1->r4 r2->r3 r3->r1 r4->r2 
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->0123,c3:012->210]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->1032,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->1032,c3:012->102]
  0  1  2  3  4  5  6  7  8  9 10
  4  5  6  7  1  0  3  2 10  9  8
r0->r0 r1->r3 r2->r4 r3->r2 r4->r1 
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->1032,c3:012->210]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->1032,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->1032,c3:012->102]
  0  1  2  3  4  5  6  7  8  9 10
  1  0  3  2  5  4  7  6  8  9 10
r0->r0 r1->r2 r2->r1 r3->r4 r4->r3 
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->1032,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
  0  1  2  3  4  5  6  7  8  9 10
  0  1  2  3  4  5  6  7  8  9 10
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]