start 8:
contains 6 systems
isomorphic systems:
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,2,7}{4,8,6,9}{1,3,10}
{0,8,5,9}{1,4,3,7}{2,6,10}
{1,5,3,6}{2,8,7,9}{0,4,10}

system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,2,7}{4,8,6,9}{1,3,10}
{0,8,7,9}{1,4,3,5}{2,6,10}
{1,6,3,7}{2,8,5,9}{0,4,10}
  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->r3 r4->r4 
[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->102]
[c1->c1,c2->c2,c3->c3,c1:0123->0321,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->0321,c2:0123->0123,c3:012->012]
system 2 and system 3 are non-isomorphic
isomorphic systems:
system 3
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,8,7}{1,4,3,10}{2,6,9}
{0,8,4,10}{2,5,9,7}{1,3,6}
{1,5,3,7}{2,8,6,10}{0,4,9}

system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,8,7}{2,9,6,10}{1,3,4}
{0,9,4,10}{1,5,3,7}{2,6,8}
{1,6,3,10}{2,5,9,7}{0,4,8}
  0  1  2  3  4  5  6  7  8  9 10
  2  3  0  1  6  7  4  5  9  8 10
r0->r0 r1->r1 r2->r4 r3->r2 r4->r3 
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2301,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2301,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->0321,c2:0123->2103,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0321,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->2301,c2:0123->0123,c3:012->012]
isomorphic systems:
system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,8,7}{2,9,6,10}{1,3,4}
{0,9,4,10}{1,5,3,7}{2,6,8}
{1,6,3,10}{2,5,9,7}{0,4,8}

system 5
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,9,7}{1,4,3,10}{2,6,8}
{0,9,4,10}{2,5,8,7}{1,3,6}
{1,5,3,7}{2,9,6,10}{0,4,8}
  0  1  2  3  4  5  6  7  8  9 10
  2  3  0  1  6  7  4  5  8  9 10
r0->r0 r1->r1 r2->r3 r3->r4 r4->r2 
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2301,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2103,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->0321,c2:0123->0123,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->2301,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->2103,c2:0123->0321,c3:012->012]
isomorphic systems:
system 5
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,9,7}{1,4,3,10}{2,6,8}
{0,9,4,10}{2,5,8,7}{1,3,6}
{1,5,3,7}{2,9,6,10}{0,4,8}

system 6
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,9,7}{2,8,6,10}{1,3,4}
{0,8,4,10}{1,5,3,7}{2,6,9}
{1,6,3,10}{2,5,8,7}{0,4,9}
  0  1  2  3  4  5  6  7  8  9 10
  2  3  0  1  6  7  4  5  9  8 10
r0->r0 r1->r1 r2->r4 r3->r2 r4->r3 
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->2301,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->2301,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->0321,c2:0123->2103,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0321,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->2301,c2:0123->0123,c3:012->012]
BUCKET 2 START-------------------------------
system 6
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,9,7}{2,8,6,10}{1,3,4}
{0,8,4,10}{1,5,3,7}{2,6,9}
{1,6,3,10}{2,5,8,7}{0,4,9}
-----------------------------------
system 5
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,9,7}{1,4,3,10}{2,6,8}
{0,9,4,10}{2,5,8,7}{1,3,6}
{1,5,3,7}{2,9,6,10}{0,4,8}
-----------------------------------
system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,8,7}{2,9,6,10}{1,3,4}
{0,9,4,10}{1,5,3,7}{2,6,8}
{1,6,3,10}{2,5,9,7}{0,4,8}
-----------------------------------
system 3
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,8,7}{1,4,3,10}{2,6,9}
{0,8,4,10}{2,5,9,7}{1,3,6}
{1,5,3,7}{2,8,6,10}{0,4,9}
-----------------------------------
BUCKET 2 END ---------------------------------
BUCKET 1 START-------------------------------
system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,2,7}{4,8,6,9}{1,3,10}
{0,8,7,9}{1,4,3,5}{2,6,10}
{1,6,3,7}{2,8,5,9}{0,4,10}
-----------------------------------
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,2,4,6}{1,8,3,9}{5,7,10}
{0,5,2,7}{4,8,6,9}{1,3,10}
{0,8,5,9}{1,4,3,7}{2,6,10}
{1,5,3,6}{2,8,7,9}{0,4,10}
-----------------------------------
BUCKET 1 END ---------------------------------

start 8 partitioned into 2 buckets