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

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

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

system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,2,7,5}{3,8,6,9}{1,4,10}
{0,6,4,9}{1,3,7,8}{2,5,10}
{1,6,2,9}{3,4,8,5}{0,7,10}
  0  1  2  3  4  5  6  7  8  9 10
  2  1  0  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->2103,c2:0123->0321,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->0321,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->1032,c2:0123->0123,c3:012->012]
[c1->c1,c2->c2,c3->c3,c1:0123->2103,c2:0123->0123,c3:012->012]
[c1->c2,c2->c1,c3->c3,c1:0123->0123,c2:0123->0123,c3:012->012]
system 4 and system 5 are non-isomorphic
system 5 and system 6 are non-isomorphic
system 4 and system 6 are non-isomorphic
system 6 and system 7 are non-isomorphic
system 5 and system 7 are non-isomorphic
system 4 and system 7 are non-isomorphic
isomorphic systems:
system 7
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,6,2,10}{1,8,4,9}{3,5,7}
{1,3,4,6}{5,8,7,10}{0,2,9}

system 8
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,9,2,10}{1,3,4,6}{5,7,8}
{1,8,4,9}{3,5,10,7}{0,2,6}
  0  1  2  3  4  5  6  7  8  9 10
  7  4  5  6  1  2  3  0  9  8 10
r0->r0 r1->r1 r2->r2 r3->r4 r4->r3 
[c1->c2,c2->c1,c3->c3,c1:0123->3012,c2:0123->1230,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->3012,c2:0123->1230,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->3210,c2:0123->2301,c3:012->102]
[c1->c2,c2->c1,c3->c3,c1:0123->3012,c2:0123->2301,c3:012->210]
[c1->c2,c2->c1,c3->c3,c1:0123->2301,c2:0123->2103,c3:012->102]
system 8 and system 9 are non-isomorphic
isomorphic systems:
system 6
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,6,2,10}{1,3,4,9}{5,7,8}
{1,6,4,8}{3,5,10,7}{0,2,9}

system 9
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,9,2,10}{1,6,4,8}{3,5,7}
{1,3,4,9}{5,8,7,10}{0,2,6}
  0  1  2  3  4  5  6  7  8  9 10
  0  4  2  8  1  5  9  7  3  6 10
r0->r1 r1->r0 r2->r2 r3->r3 r4->r4 
[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->1032,c3:012->102]
[c1->c1,c2->c2,c3->c3,c1:0123->0123,c2:0123->2301,c3:012->120]
[c1->c1,c2->c2,c3->c3,c1:0123->2301,c2:0123->1032,c3:012->012]
BUCKET 4 START-------------------------------
system 8
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,9,2,10}{1,3,4,6}{5,7,8}
{1,8,4,9}{3,5,10,7}{0,2,6}
-----------------------------------
system 7
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,6,2,10}{1,8,4,9}{3,5,7}
{1,3,4,6}{5,8,7,10}{0,2,9}
-----------------------------------
BUCKET 4 END ---------------------------------
BUCKET 3 START-------------------------------
system 9
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,9,2,10}{1,6,4,8}{3,5,7}
{1,3,4,9}{5,8,7,10}{0,2,6}
-----------------------------------
system 6
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,6,2,10}{1,3,4,9}{5,7,8}
{1,6,4,8}{3,5,10,7}{0,2,9}
-----------------------------------
BUCKET 3 END ---------------------------------
BUCKET 2 START-------------------------------
system 5
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,5,2,7}{3,8,6,9}{1,4,10}
{0,6,2,9}{1,3,4,8}{5,7,10}
{1,6,4,9}{3,5,8,7}{0,2,10}
-----------------------------------
BUCKET 2 END ---------------------------------
BUCKET 1 START-------------------------------
system 4
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,2,7,5}{3,8,6,9}{1,4,10}
{0,6,4,9}{1,3,7,8}{2,5,10}
{1,6,2,9}{3,4,8,5}{0,7,10}
-----------------------------------
system 3
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,2,7,5}{3,8,6,9}{1,4,10}
{0,6,1,9}{3,4,8,7}{2,5,10}
{1,3,5,8}{2,6,4,9}{0,7,10}
-----------------------------------
system 2
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,2,5,7}{3,8,6,9}{1,4,10}
{0,6,4,9}{1,3,5,8}{2,7,10}
{1,6,2,9}{3,4,8,7}{0,5,10}
-----------------------------------
system 1
{0,1,2,3}{4,5,6,7}{8,9,10}
{0,4,2,8}{1,5,9,7}{3,6,10}
{0,2,5,7}{3,8,6,9}{1,4,10}
{0,6,1,9}{3,4,8,5}{2,7,10}
{1,3,7,8}{2,6,4,9}{0,5,10}
-----------------------------------
BUCKET 1 END ---------------------------------

start 6 partitioned into 4 buckets