system 0
{1,5,7}{3,6,10}{0,2,8,4,9}
{1,6,9}{3,7,8}{0,4,10,2,5}
{1,3,4}{2,7,9}{0,6,8,5,10}
{2,4,6}{3,5,9}{0,7,10,1,8}
{0,1,2,3}{4,5,6,7}{8,9,10}
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,c1:012->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]