Design No 1 Group Size 19 C08E4E64 06047D13
Block Intersection Formula 
{(2)^1 (3)^6 (4)^18 (5)^11 (6)^1 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 5 9 12 15 
0 1 2 5 6 8 11 13 15 

Design No 2 Group Size 19 2F803B0F 225750F2
Block Intersection Formula 
{(3)^7 (4)^20 (5)^9 (7)^1 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 8 11 15 
0 1 2 5 7 10 11 13 14 

Design No 3 Group Size 19 393F655A 31F0B9E7
Block Intersection Formula 
{(3)^8 (4)^18 (5)^9 (6)^2 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 8 11 15 
0 1 2 7 8 10 11 14 16 

Design No 4 Group Size 19 78740DDB 3C7426DB
Block Intersection Formula 
{(2)^1 (3)^6 (4)^18 (5)^11 (6)^1 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 8 12 15 
0 1 2 5 6 9 11 12 14 

Design No 5 Group Size 19 444D41D6 79DD1D0F
Block Intersection Formula 
{(2)^1 (3)^7 (4)^15 (5)^14 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 8 12 15 
0 1 2 7 9 10 12 15 16 

Design No 6 Group Size 19 4FFF4B0D 94BA109A
Block Intersection Formula 
{(2)^1 (3)^5 (4)^21 (5)^8 (6)^2 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 9 13 14 
0 1 2 4 7 11 13 15 16 

Design No 7 Group Size 19 05ED490A 61F657B7
Block Intersection Formula 
{(1)^1 (3)^4 (4)^20 (5)^12 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 9 13 14 
0 1 2 5 6 8 10 14 17 

Design No 8 Group Size 19 85129875 1E38591F
Block Intersection Formula 
{(3)^8 (4)^18 (5)^9 (6)^2 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 10 13 15 
0 1 2 5 6 8 9 14 16 

Design No 9 Group Size 19 2896C3CF FC0EC13F
Block Intersection Formula 
{(2)^1 (3)^6 (4)^18 (5)^11 (6)^1 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 10 13 15 
0 1 2 5 7 12 13 15 16 

Design No 10 Group Size 19 3D3B8DAA 00644007
Block Intersection Formula 
{(2)^1 (3)^5 (4)^21 (5)^8 (6)^2 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 10 14 15 
0 1 2 4 8 11 13 14 16 

Design No 11 Group Size 19 0BD41C1B ED0B6A71
Block Intersection Formula 
{(2)^1 (3)^5 (4)^21 (5)^8 (6)^2 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 6 10 14 15 
0 1 2 5 7 8 10 13 17 

Design No 12 Group Size 57 63DC4324 B29E9714
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,7,11],[2,14,3],[4,9,6],[5,16,17],[8,18,12],[10,13,15],[19,26,37],[20,33,29],[22,28,32],[23,35,24],[25,30,27],[31,34,36],[38,45,56],[39,52,48],[41,47,51],[42,54,43],[44,49,46],[50,53,55]],
[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],[19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37],[38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]]
Block Intersection Formula 
{(3)^9 (4)^15 (5)^12 (6)^1 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 7 12 14 15 
0 1 2 4 6 7 10 12 16 

Design No 13 Group Size 57 766E52B4 3BD59F5B
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,11,7],[2,3,14],[4,6,9],[5,17,16],[8,12,18],[10,15,13],[19,37,26],[20,29,33],[22,32,28],[23,24,35],[25,27,30],[31,36,34],[38,47,51],[40,50,46],[41,42,53],[43,45,48],[44,56,55],[49,54,52]],
[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],[19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37],[38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]]
Block Intersection Formula 
{(3)^9 (4)^15 (5)^12 (6)^1 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 7 12 14 15 
0 1 2 4 6 10 13 15 16 

Design No 14 Group Size 57 68D7EB6B 054E5B7E
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,7,11],[2,14,3],[4,9,6],[5,16,17],[8,18,12],[10,13,15],[19,26,37],[20,33,29],[22,28,32],[23,35,24],[25,30,27],[31,34,36],[38,56,49],[39,44,41],[40,51,52],[42,46,55],[43,53,47],[45,48,50]],
[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],[19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37],[38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]]
Block Intersection Formula 
{(3)^9 (4)^15 (5)^12 (6)^1 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 7 12 14 15 
0 1 2 5 6 8 11 15 17 

Design No 15 Group Size 57 82C03988 580BB46B
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,11,7],[2,3,14],[4,6,9],[5,17,16],[8,12,18],[10,15,13],[19,37,26],[20,29,33],[22,32,28],[23,24,35],[25,27,30],[31,36,34],[38,40,43],[39,51,50],[41,54,45],[42,46,52],[44,49,47],[48,55,56]],
[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],[19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37],[38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]]
Block Intersection Formula 
{(3)^10 (4)^12 (5)^15 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 4 7 12 14 15 
0 1 2 5 9 11 14 15 17 

Design No 16 Group Size 89653248 1AE898FD 11A75B71
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[21,40]],
[[30,49]],
[[28,47]],
[[24,43]],
[[29,48]],
[[32,51]],
[[20,39]],
[[27,46]],
[[23,42]],
[[34,53]],
[[22,41]],
[[33,52]],
[[25,44]],
[[35,54]],
[[31,50]],
[[36,55]],
[[19,38]],
[[26,45]],
[[37,56]],
[[1,11,7],[2,3,14],[4,6,9],[5,17,16],[8,12,18],[10,15,13],[19,36,33],[20,28,21],[22,31,35],[24,34,30],[25,26,37],[27,29,32],[38,55,52],[39,47,40],[41,50,54],[43,53,49],[44,45,56],[46,48,51]],
[[1,4,16,7,9,17,11,6,5],[2,8,13,14,18,15,3,12,10],[19,26,35,33,25,31,36,37,22],[20,30,32,21,34,29,28,24,27],[38,45,54,52,44,50,55,56,41],[39,49,51,40,53,48,47,43,46]],
[[0,1,10,15,3,9,6,17,2],[4,18,11,5,8,16,12,14,13],[19,26,32,29,21,25,23,24,33],[20,35,37,36,27,22,34,28,31],[38,45,51,48,40,44,42,43,52],[39,54,56,55,46,41,53,47,50]]
Block Intersection Formula 
{(4)^36 (9)^2 }^38 
Initial Blocks, modulo 19:
0 1 2 3 5 7 12 13 16 
0 1 2 3 5 7 12 13 16 

Design No 17 Group Size 342 52B992FA 06E4466E
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,2,4,8,16,13,7,14,9,18,17,15,11,3,6,12,5,10],[19,42,26,56,35,55,33,51,25,54,31,47,36,38,37,40,22,48],[20,44,30,45,32,49,21,46,34,53,29,43,28,41,24,52,27,39],[23,50]],
[[0,1],[2,18],[3,17],[4,16],[5,15],[6,14],[7,13],[8,12],[9,11],[19,55],[20,54],[21,53],[22,52],[23,51],[24,50],[25,49],[26,48],[27,47],[28,46],[29,45],[30,44],[31,43],[32,42],[33,41],[34,40],[35,39],[36,38],[37,56]]
Block Intersection Formula 
{(0)^1 (4)^27 (5)^9 (9)^1 }^38 
Initial Blocks, modulo 19:
0 1 2 3 5 7 12 13 16 
0 1 2 3 6 9 10 15 17