start 3:
contains 3 systems
isomorphic systems:
system 1
{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}

system 2
{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}{1,3,7,8}{2,5,10}
{0,5,7,10}{1,4,3,9}{2,6,8}
{0,7,2,9}{1,6,4,10}{3,5,8}
  0  1  2  3  4  5  6  7  8  9 10
  0  1  2  3  4  7  6  5  8  9 10
r0->r0 r1->r1 r2->r2 r3->r4 r4->r3 
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0321,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->0321,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]
system 2 and system 3 are non-isomorphic
BUCKET 2 START-------------------------------
system 3
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,8}{1,5,9,7}{3,6,10}
{0,5,10,7}{2,8,6,9}{1,3,4}
{0,6,4,10}{1,8,3,9}{2,5,7}
{1,6,2,10}{3,5,8,7}{0,4,9}
-----------------------------------
BUCKET 2 END ---------------------------------
BUCKET 1 START-------------------------------
system 2
{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}{1,3,7,8}{2,5,10}
{0,5,7,10}{1,4,3,9}{2,6,8}
{0,7,2,9}{1,6,4,10}{3,5,8}
-----------------------------------
system 1
{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}
-----------------------------------
BUCKET 1 END ---------------------------------

start 3 partitioned into 2 buckets