system 1
{2,6,8}{3,4,9}{0,5,10,1,7}
{2,7,10}{3,5,8}{0,4,1,6,9}
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,7,9}{3,6,10}
{0,6,4,10}{1,3,7,8}{2,5,9}
has group of order 2
  0  1  2  3  4  5  6  7  8  9 10
  1  0  3  2  7  6  5  4  8 10  9
r0->r1 r1->r0 r2->r2 r3->r4 r4->r3 
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->2340]
[c1->c2,c2->c1,c3->c3,c1:012->012,c2:012->012,c3:01234->3401]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->3210,c3:012->021]
[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,c1:012->012,c2:012->012,c3:01234->0123]
[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]