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