system 1
{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}
has group of order 2
  0  1  2  3  4  5  6  7  8  9 10
  2  1  0  3  4  5  6  7  8  9 10
r0->r0 r1->r1 r2->r2 r3->r3 r4->r4 
[c1->c1,c2->c2,c3->c3,c1:012->102,c2:012->012,c3:01234->0123]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,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,c1:012->012,c2:012->012,c3:01234->0123]
[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]