Design No 1(for Input Group of Order 16 and Index 8) Group Size 64 EEAE3A15 85DE06E4
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[4,5],[6,7],[12,13],[14,15],[20,21],[22,23],[28,29],[30,31],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,56],[41,57],[42,58],[43,59],[44,61],[45,60],[46,63],[47,62],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,88],[73,89],[74,90],[75,91],[76,93],[77,92],[78,95],[79,94]],
[[2,3],[4,6],[5,7],[8,10],[9,11],[14,15],[16,17],[20,23],[21,22],[24,27],[25,26],[28,29],[32,64],[33,65],[34,67],[35,66],[36,70],[37,71],[38,68],[39,69],[40,90],[41,91],[42,88],[43,89],[44,92],[45,93],[46,95],[47,94],[48,80],[49,81],[50,83],[51,82],[52,86],[53,87],[54,84],[55,85],[56,74],[57,75],[58,72],[59,73],[60,76],[61,77],[62,79],[63,78]],
[[0,1],[4,6],[5,7],[8,11],[9,10],[14,15],[18,19],[20,23],[21,22],[24,26],[25,27],[28,29],[32,81],[33,80],[34,82],[35,83],[36,86],[37,87],[38,84],[39,85],[40,75],[41,74],[42,73],[43,72],[44,76],[45,77],[46,79],[47,78],[48,65],[49,64],[50,66],[51,67],[52,70],[53,71],[54,68],[55,69],[56,91],[57,90],[58,89],[59,88],[60,92],[61,93],[62,95],[63,94]],
[[0,2],[1,3],[6,7],[8,9],[12,15],[13,14],[16,19],[17,18],[20,21],[26,27],[28,30],[29,31],[32,82],[33,83],[34,80],[35,81],[36,84],[37,85],[38,87],[39,86],[40,73],[41,72],[42,74],[43,75],[44,79],[45,78],[46,77],[47,76],[48,66],[49,67],[50,64],[51,65],[52,68],[53,69],[54,71],[55,70],[56,89],[57,88],[58,90],[59,91],[60,95],[61,94],[62,93],[63,92]],
[[0,4,2,6,1,5,3,7],[8,15,10,12,9,14,11,13],[16,21,18,23,17,20,19,22],[24,30,26,29,25,31,27,28],[32,84,34,86,33,85,35,87],[36,82,38,81,37,83,39,80],[40,79,42,76,41,78,43,77],[44,73,46,75,45,72,47,74],[48,68,50,70,49,69,51,71],[52,66,54,65,53,67,55,64],[56,95,58,92,57,94,59,93],[60,89,62,91,61,88,63,90]],
[[0,8,1,9],[2,11,3,10],[4,15,5,14],[6,13,7,12],[16,24,17,25],[18,27,19,26],[20,31,21,30],[22,29,23,28],[32,56,33,57],[34,59,35,58],[36,63,37,62],[38,61,39,60],[40,49,41,48],[42,50,43,51],[44,54,45,55],[46,52,47,53],[64,88,65,89],[66,91,67,90],[68,95,69,94],[70,93,71,92],[72,81,73,80],[74,82,75,83],[76,86,77,87],[78,84,79,85]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d c 
() b a 
() bd a 
() bc ac 
() bcd ac 

Design No 2(for Input Group of Order 16 and Index 8) Group Size 128 032F2F2B 97C0FFA3
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[4,5],[6,7],[8,9],[10,11],[20,21],[22,23],[24,25],[26,27],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,57],[41,56],[42,59],[43,58],[44,60],[45,61],[46,62],[47,63],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,89],[73,88],[74,91],[75,90],[76,92],[77,93],[78,94],[79,95]],
[[4,6,5,7],[8,11,9,10],[12,13],[14,15],[20,22,21,23],[24,27,25,26],[28,29],[30,31],[32,64,48,80],[33,65,49,81],[34,66,50,82],[35,67,51,83],[36,70,53,87],[37,71,52,86],[38,69,55,84],[39,68,54,85],[40,75,57,90],[41,74,56,91],[42,72,59,89],[43,73,58,88],[44,77,60,93],[45,76,61,92],[46,79,62,95],[47,78,63,94]],
[[2,3],[4,8],[5,9],[6,11],[7,10],[12,15],[13,14],[16,17],[20,25],[21,24],[22,26],[23,27],[28,30],[29,31],[34,35],[36,56],[37,57],[38,59],[39,58],[40,52],[41,53],[42,55],[43,54],[44,47],[45,46],[50,51],[60,63],[61,62],[66,67],[68,88],[69,89],[70,91],[71,90],[72,84],[73,85],[74,87],[75,86],[76,79],[77,78],[82,83],[92,95],[93,94]],
[[0,1],[4,8],[5,9],[6,11],[7,10],[12,14],[13,15],[18,19],[20,25],[21,24],[22,26],[23,27],[28,31],[29,30],[32,49],[33,48],[34,50],[35,51],[36,40],[37,41],[38,43],[39,42],[44,62],[45,63],[46,60],[47,61],[52,56],[53,57],[54,59],[55,58],[64,81],[65,80],[66,82],[67,83],[68,72],[69,73],[70,75],[71,74],[76,94],[77,95],[78,92],[79,93],[84,88],[85,89],[86,91],[87,90]],
[[0,2],[1,3],[4,8,5,9],[6,11,7,10],[12,13],[16,19],[17,18],[20,25,21,24],[22,26,23,27],[30,31],[32,66,48,82],[33,67,49,83],[34,64,50,80],[35,65,51,81],[36,88,53,73],[37,89,52,72],[38,91,55,74],[39,90,54,75],[40,85,57,68],[41,84,56,69],[42,86,59,71],[43,87,58,70],[44,77,60,93],[45,76,61,92],[46,78,62,94],[47,79,63,95]],
[[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62],[64,68],[65,69],[66,71],[67,70],[72,76],[73,77],[74,79],[75,78],[80,84],[81,85],[82,87],[83,86],[88,92],[89,93],[90,95],[91,94]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d c 
() b a 
() bd ad 
() bc acd 
() bcd ac 

Design No 3(for Input Group of Order 16 and Index 8) Group Size 32 0B38FA9A 0A5E3A61
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[4,6],[5,7],[10,11],[12,14],[13,15],[16,17],[20,23],[21,22],[24,25],[28,31],[29,30],[32,64],[33,65],[34,67],[35,66],[36,70],[37,71],[38,68],[39,69],[40,72],[41,73],[42,75],[43,74],[44,78],[45,79],[46,76],[47,77],[48,80],[49,81],[50,83],[51,82],[52,86],[53,87],[54,84],[55,85],[56,88],[57,89],[58,91],[59,90],[60,94],[61,95],[62,92],[63,93]],
[[0,1],[4,7],[5,6],[8,9],[12,15],[13,14],[18,19],[20,22],[21,23],[26,27],[28,30],[29,31],[32,65],[33,64],[34,66],[35,67],[36,71],[37,70],[38,69],[39,68],[40,73],[41,72],[42,74],[43,75],[44,79],[45,78],[46,77],[47,76],[48,81],[49,80],[50,82],[51,83],[52,87],[53,86],[54,85],[55,84],[56,89],[57,88],[58,90],[59,91],[60,95],[61,94],[62,93],[63,92]],
[[0,2],[1,3],[4,5],[8,10],[9,11],[12,13],[16,19],[17,18],[22,23],[24,27],[25,26],[30,31],[32,66],[33,67],[34,64],[35,65],[36,69],[37,68],[38,70],[39,71],[40,74],[41,75],[42,72],[43,73],[44,77],[45,76],[46,78],[47,79],[48,82],[49,83],[50,80],[51,81],[52,85],[53,84],[54,86],[55,87],[56,90],[57,91],[58,88],[59,89],[60,93],[61,92],[62,94],[63,95]],
[[0,4,3,7,1,5,2,6],[8,12,11,15,9,13,10,14],[16,21,19,22,17,20,18,23],[24,29,27,30,25,28,26,31],[32,68,35,71,33,69,34,70],[36,67,39,65,37,66,38,64],[40,76,43,79,41,77,42,78],[44,75,47,73,45,74,46,72],[48,84,51,87,49,85,50,86],[52,83,55,81,53,82,54,80],[56,92,59,95,57,93,58,94],[60,91,63,89,61,90,62,88]],
[[0,8,1,9],[2,10,3,11],[4,12,5,13],[6,14,7,15],[16,25,17,24],[18,27,19,26],[20,29,21,28],[22,31,23,30],[32,72,33,73],[34,74,35,75],[36,76,37,77],[38,78,39,79],[40,65,41,64],[42,67,43,66],[44,69,45,68],[46,71,47,70],[48,88,49,89],[50,90,51,91],[52,92,53,93],[54,94,55,95],[56,81,57,80],[58,83,59,82],[60,85,61,84],[62,87,63,86]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d c 
() b a 
() bd ac 
() bc a 
() bcd acd 

Design No 4(for Input Group of Order 16 and Index 8) Group Size 192 B0D1CDE0 5B93B9CE
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[4,15],[5,14],[6,12],[7,13],[8,9],[10,11],[20,30],[21,31],[22,29],[23,28],[24,25],[26,27],[32,41],[33,40],[34,43],[35,42],[36,70],[37,71],[38,69],[39,68],[44,78],[45,79],[46,77],[47,76],[48,91],[49,90],[50,88],[51,89],[56,82],[57,83],[58,81],[59,80],[60,61],[62,63],[64,72],[65,73],[66,74],[67,75],[92,93],[94,95]],
[[2,3],[4,6],[5,7],[8,9],[12,15],[13,14],[16,17],[20,23],[21,22],[26,27],[28,30],[29,31],[32,64],[33,65],[34,67],[35,66],[36,70],[37,71],[38,68],[39,69],[40,73],[41,72],[42,74],[43,75],[44,79],[45,78],[46,77],[47,76],[48,80],[49,81],[50,83],[51,82],[52,86],[53,87],[54,84],[55,85],[56,89],[57,88],[58,90],[59,91],[60,95],[61,94],[62,93],[63,92]],
[[1,8,9],[2,4,15],[3,12,6],[5,7,11],[10,13,14],[16,32,41],[17,72,64],[18,76,47],[19,36,70],[20,79,66],[21,39,43],[22,75,69],[23,35,44],[24,33,65],[25,73,40],[26,77,71],[27,37,46],[28,78,42],[29,38,67],[30,74,45],[31,34,68],[48,87,91],[49,63,50],[51,89,86],[52,56,82],[53,80,59],[55,94,95],[57,58,93],[60,61,85],[62,90,88],[81,83,92]],
[[0,1],[4,7],[5,6],[10,11],[12,14],[13,15],[18,19],[20,22],[21,23],[24,25],[28,31],[29,30],[32,65],[33,64],[34,66],[35,67],[36,71],[37,70],[38,69],[39,68],[40,72],[41,73],[42,75],[43,74],[44,78],[45,79],[46,76],[47,77],[48,81],[49,80],[50,82],[51,83],[52,87],[53,86],[54,85],[55,84],[56,88],[57,89],[58,91],[59,90],[60,94],[61,95],[62,92],[63,93]],
[[0,2],[1,3],[4,5],[8,11],[9,10],[14,15],[16,19],[17,18],[22,23],[24,26],[25,27],[28,29],[32,66],[33,67],[34,64],[35,65],[36,69],[37,68],[38,70],[39,71],[40,75],[41,74],[42,73],[43,72],[44,76],[45,77],[46,79],[47,78],[48,82],[49,83],[50,80],[51,81],[52,85],[53,84],[54,86],[55,87],[56,91],[57,90],[58,89],[59,88],[60,92],[61,93],[62,95],[63,94]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d c 
() b a 
() bd ac 
() bc ad 
() bcd ac 

Design No 5(for Input Group of Order 16 and Index 8) Group Size 32 4A299081 40EE0193
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[4,6],[5,7],[10,11],[12,14],[13,15],[16,17],[20,23],[21,22],[24,25],[28,31],[29,30],[32,64],[33,65],[34,67],[35,66],[36,70],[37,71],[38,68],[39,69],[40,72],[41,73],[42,75],[43,74],[44,78],[45,79],[46,76],[47,77],[48,80],[49,81],[50,83],[51,82],[52,86],[53,87],[54,84],[55,85],[56,88],[57,89],[58,91],[59,90],[60,94],[61,95],[62,92],[63,93]],
[[0,1],[4,7],[5,6],[8,9],[12,15],[13,14],[18,19],[20,22],[21,23],[26,27],[28,30],[29,31],[32,65],[33,64],[34,66],[35,67],[36,71],[37,70],[38,69],[39,68],[40,73],[41,72],[42,74],[43,75],[44,79],[45,78],[46,77],[47,76],[48,81],[49,80],[50,82],[51,83],[52,87],[53,86],[54,85],[55,84],[56,89],[57,88],[58,90],[59,91],[60,95],[61,94],[62,93],[63,92]],
[[0,2],[1,3],[4,5],[8,10],[9,11],[12,13],[16,19],[17,18],[22,23],[24,27],[25,26],[30,31],[32,66],[33,67],[34,64],[35,65],[36,69],[37,68],[38,70],[39,71],[40,74],[41,75],[42,72],[43,73],[44,77],[45,76],[46,78],[47,79],[48,82],[49,83],[50,80],[51,81],[52,85],[53,84],[54,86],[55,87],[56,90],[57,91],[58,88],[59,89],[60,93],[61,92],[62,94],[63,95]],
[[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62],[64,68],[65,69],[66,71],[67,70],[72,76],[73,77],[74,79],[75,78],[80,84],[81,85],[82,87],[83,86],[88,92],[89,93],[90,95],[91,94]],
[[0,8,1,9],[2,10,3,11],[4,12,5,13],[6,14,7,15],[16,25,17,24],[18,27,19,26],[20,29,21,28],[22,31,23,30],[32,72,33,73],[34,74,35,75],[36,76,37,77],[38,78,39,79],[40,65,41,64],[42,67,43,66],[44,69,45,68],[46,71,47,70],[48,88,49,89],[50,90,51,91],[52,92,53,93],[54,94,55,95],[56,81,57,80],[58,83,59,82],[60,85,61,84],[62,87,63,86]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d c 
() b a 
() bd acd 
() bc a 
() bcd ac 

Design No 6(for Input Group of Order 16 and Index 8) Group Size 16 E1FB16AD ED80055D
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c a 
() c ab 
() bc a 
() bcd ac 

Design No 7(for Input Group of Order 16 and Index 8) Group Size 12288 48CF51D6 B78CEA52
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[3,7],[18,22],[33,65],[35,80],[36,68],[39,85],[42,58],[46,62],[49,71],[51,87],[52,67],[55,83],[74,78],[88,93]],
[[11,12],[26,29],[35,51],[36,52],[40,72],[43,89],[44,94],[47,79],[56,76],[59,92],[60,91],[63,75],[67,68],[80,87]],
[[9,15],[24,30],[33,49],[39,55],[41,90],[43,75],[45,77],[47,92],[57,95],[59,79],[61,73],[63,89],[65,71],[83,85]],
[[10,13],[27,28],[34,50],[37,53],[41,73],[42,88],[45,95],[46,78],[57,77],[58,93],[61,90],[62,74],[66,69],[81,86]],
[[8,14],[25,31],[32,48],[38,54],[40,91],[42,74],[44,76],[46,93],[56,94],[58,78],[60,72],[62,88],[64,70],[82,84]],
[[2,3],[6,7],[8,11],[9,10],[12,14],[13,15],[18,19],[22,23],[24,27],[25,26],[28,30],[29,31],[32,35],[33,34],[36,38],[37,39],[42,43],[46,47],[48,51],[49,50],[52,54],[53,55],[58,59],[62,63],[64,80],[65,81],[66,83],[67,82],[68,84],[69,85],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[2,8],[3,9],[6,14],[7,15],[10,11],[12,13],[18,24],[19,25],[22,30],[23,31],[26,27],[28,29],[34,40],[35,41],[36,45],[37,44],[42,43],[46,47],[48,64],[49,65],[50,72],[51,73],[52,95],[53,94],[54,84],[55,85],[56,66],[57,67],[58,75],[59,74],[60,86],[61,87],[62,92],[63,93],[68,77],[69,76],[78,79],[80,90],[81,91],[88,89]],
[[1,5],[16,20],[33,83],[34,66],[37,86],[39,71],[40,56],[44,60],[49,85],[50,69],[53,81],[55,65],[72,76],[91,94]],
[[0,1],[4,5],[8,10],[9,11],[12,15],[13,14],[16,17],[20,21],[24,26],[25,27],[28,31],[29,30],[32,34],[33,35],[36,39],[37,38],[40,41],[44,45],[48,50],[49,51],[52,55],[53,54],[56,57],[60,61],[64,81],[65,80],[66,82],[67,83],[68,85],[69,84],[70,86],[71,87],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[0,2],[1,3],[4,6],[5,7],[10,11],[12,13],[16,18],[17,19],[20,22],[21,23],[26,27],[28,29],[34,35],[36,37],[40,42],[41,43],[44,46],[45,47],[50,51],[52,53],[56,58],[57,59],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,86],[69,87],[70,84],[71,85],[72,88],[73,89],[74,91],[75,90],[76,93],[77,92],[78,94],[79,95]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c a 
() c abc 
() bc a 
() bcd acd 

Design No 8(for Input Group of Order 16 and Index 8) Group Size 128 EE43FC02 DD893234
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[8,14],[9,15],[10,13],[11,12],[24,30],[25,31],[26,29],[27,28],[32,48],[33,49],[34,50],[35,51],[36,52],[37,53],[38,54],[39,55],[40,60],[41,61],[42,62],[43,63],[44,56],[45,57],[46,58],[47,59],[64,70],[65,71],[66,69],[67,68],[72,91],[73,90],[74,88],[75,89],[76,94],[77,95],[78,93],[79,92],[80,87],[81,86],[82,84],[83,85]],
[[2,3],[6,7],[8,11],[9,10],[12,14],[13,15],[18,19],[22,23],[24,27],[25,26],[28,30],[29,31],[32,35],[33,34],[36,38],[37,39],[42,43],[46,47],[48,51],[49,50],[52,54],[53,55],[58,59],[62,63],[64,80],[65,81],[66,83],[67,82],[68,84],[69,85],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[2,6],[3,7],[8,9],[10,12],[11,13],[14,15],[18,22],[19,23],[24,25],[26,28],[27,29],[30,31],[32,64],[33,65],[34,86],[35,87],[36,67],[37,66],[38,84],[39,85],[40,73],[41,72],[42,92],[43,93],[44,95],[45,94],[46,75],[47,74],[48,70],[49,71],[50,81],[51,80],[52,68],[53,69],[54,82],[55,83],[56,77],[57,76],[58,89],[59,88],[60,90],[61,91],[62,79],[63,78]],
[[0,1],[4,5],[8,10],[9,11],[12,15],[13,14],[16,17],[20,21],[24,26],[25,27],[28,31],[29,30],[32,34],[33,35],[36,39],[37,38],[40,41],[44,45],[48,50],[49,51],[52,55],[53,54],[56,57],[60,61],[64,81],[65,80],[66,82],[67,83],[68,85],[69,84],[70,86],[71,87],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[0,2],[1,3],[4,6],[5,7],[10,11],[12,13],[16,18],[17,19],[20,22],[21,23],[26,27],[28,29],[34,35],[36,37],[40,42],[41,43],[44,46],[45,47],[50,51],[52,53],[56,58],[57,59],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,86],[69,87],[70,84],[71,85],[72,88],[73,89],[74,91],[75,90],[76,93],[77,92],[78,94],[79,95]],
[[0,8],[1,9],[2,12],[3,13],[4,14],[5,15],[6,11],[7,10],[16,24],[17,25],[18,28],[19,29],[20,30],[21,31],[22,27],[23,26],[32,72],[33,73],[34,92],[35,93],[36,74],[37,75],[38,94],[39,95],[40,64],[41,65],[42,87],[43,86],[44,84],[45,85],[46,67],[47,66],[48,76],[49,77],[50,89],[51,88],[52,78],[53,79],[54,91],[55,90],[56,70],[57,71],[58,80],[59,81],[60,82],[61,83],[62,68],[63,69]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c a 
() c abc 
() bc ad 
() bcd ac 

Design No 9(for Input Group of Order 16 and Index 8) Group Size 32 AE8230AC DD07107E
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[6,7],[8,11],[9,10],[12,14],[13,15],[18,19],[22,23],[24,27],[25,26],[28,30],[29,31],[32,35],[33,34],[36,38],[37,39],[42,43],[46,47],[48,51],[49,50],[52,54],[53,55],[58,59],[62,63],[64,80],[65,81],[66,83],[67,82],[68,84],[69,85],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[0,1],[4,5],[8,10],[9,11],[12,15],[13,14],[16,17],[20,21],[24,26],[25,27],[28,31],[29,30],[32,34],[33,35],[36,39],[37,38],[40,41],[44,45],[48,50],[49,51],[52,55],[53,54],[56,57],[60,61],[64,81],[65,80],[66,82],[67,83],[68,85],[69,84],[70,86],[71,87],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[0,2],[1,3],[4,6],[5,7],[10,11],[12,13],[16,18],[17,19],[20,22],[21,23],[26,27],[28,29],[34,35],[36,37],[40,42],[41,43],[44,46],[45,47],[50,51],[52,53],[56,58],[57,59],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,86],[69,87],[70,84],[71,85],[72,88],[73,89],[74,91],[75,90],[76,93],[77,92],[78,94],[79,95]],
[[0,4],[1,5],[2,6],[3,7],[8,14],[9,15],[10,13],[11,12],[16,20],[17,21],[18,22],[19,23],[24,30],[25,31],[26,29],[27,28],[32,38],[33,39],[34,37],[35,36],[40,44],[41,45],[42,46],[43,47],[48,54],[49,55],[50,53],[51,52],[56,60],[57,61],[58,62],[59,63],[64,84],[65,85],[66,86],[67,87],[68,80],[69,81],[70,82],[71,83],[72,94],[73,95],[74,93],[75,92],[76,91],[77,90],[78,88],[79,89]],
[[0,8,3,11,1,9,2,10],[4,14,7,12,5,15,6,13],[16,24,19,27,17,25,18,26],[20,30,23,28,21,31,22,29],[32,42,35,40,33,43,34,41],[36,44,39,47,37,45,38,46],[48,58,51,56,49,59,50,57],[52,60,55,63,53,61,54,62],[64,88,67,91,65,89,66,90],[68,94,71,92,69,95,70,93],[72,83,75,81,73,82,74,80],[76,85,79,86,77,84,78,87]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c a 
() c abc 
() bc ac 
() bcd ad 

Design No 10(for Input Group of Order 16 and Index 8) Group Size 32 7F6FDD9F 6B6017B3
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[6,7],[8,10],[9,11],[12,15],[13,14],[18,19],[22,23],[24,26],[25,27],[28,31],[29,30],[32,35],[33,34],[36,38],[37,39],[40,41],[44,45],[48,51],[49,50],[52,54],[53,55],[56,57],[60,61],[64,80],[65,81],[66,83],[67,82],[68,84],[69,85],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[0,1],[4,5],[8,11],[9,10],[12,14],[13,15],[16,17],[20,21],[24,27],[25,26],[28,30],[29,31],[32,34],[33,35],[36,39],[37,38],[42,43],[46,47],[48,50],[49,51],[52,55],[53,54],[58,59],[62,63],[64,81],[65,80],[66,82],[67,83],[68,85],[69,84],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[0,2],[1,3],[4,6],[5,7],[8,9],[14,15],[16,18],[17,19],[20,22],[21,23],[24,25],[30,31],[34,35],[36,37],[40,43],[41,42],[44,47],[45,46],[50,51],[52,53],[56,59],[57,58],[60,63],[61,62],[64,82],[65,83],[66,80],[67,81],[68,86],[69,87],[70,84],[71,85],[72,89],[73,88],[74,90],[75,91],[76,92],[77,93],[78,95],[79,94]],
[[0,4],[1,5],[2,6],[3,7],[8,15],[9,14],[10,12],[11,13],[16,20],[17,21],[18,22],[19,23],[24,31],[25,30],[26,28],[27,29],[32,38],[33,39],[34,37],[35,36],[40,45],[41,44],[42,47],[43,46],[48,54],[49,55],[50,53],[51,52],[56,61],[57,60],[58,63],[59,62],[64,84],[65,85],[66,86],[67,87],[68,80],[69,81],[70,82],[71,83],[72,95],[73,94],[74,92],[75,93],[76,90],[77,91],[78,89],[79,88]],
[[0,8,2,10,1,9,3,11],[4,14,6,13,5,15,7,12],[16,24,18,26,17,25,19,27],[20,30,22,29,21,31,23,28],[32,42,34,41,33,43,35,40],[36,44,38,46,37,45,39,47],[48,58,50,57,49,59,51,56],[52,60,54,62,53,61,55,63],[64,88,66,90,65,89,67,91],[68,94,70,93,69,95,71,92],[72,82,74,81,73,83,75,80],[76,84,78,86,77,85,79,87]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c ac 
() c ab 
() bc a 
() bcd ac 

Design No 11(for Input Group of Order 16 and Index 8) Group Size 32 F4F69DEB F21CEDB4
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[6,7],[8,10],[9,11],[12,15],[13,14],[18,19],[22,23],[24,26],[25,27],[28,31],[29,30],[32,35],[33,34],[36,38],[37,39],[40,41],[44,45],[48,51],[49,50],[52,54],[53,55],[56,57],[60,61],[64,80],[65,81],[66,83],[67,82],[68,84],[69,85],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[0,1],[4,5],[8,11],[9,10],[12,14],[13,15],[16,17],[20,21],[24,27],[25,26],[28,30],[29,31],[32,34],[33,35],[36,39],[37,38],[42,43],[46,47],[48,50],[49,51],[52,55],[53,54],[58,59],[62,63],[64,81],[65,80],[66,82],[67,83],[68,85],[69,84],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[0,2],[1,3],[4,6],[5,7],[8,9],[14,15],[16,18],[17,19],[20,22],[21,23],[24,25],[30,31],[34,35],[36,37],[40,43],[41,42],[44,47],[45,46],[50,51],[52,53],[56,59],[57,58],[60,63],[61,62],[64,82],[65,83],[66,80],[67,81],[68,86],[69,87],[70,84],[71,85],[72,89],[73,88],[74,90],[75,91],[76,92],[77,93],[78,95],[79,94]],
[[0,4],[1,5],[2,6],[3,7],[8,15],[9,14],[10,12],[11,13],[16,20],[17,21],[18,22],[19,23],[24,31],[25,30],[26,28],[27,29],[32,38],[33,39],[34,37],[35,36],[40,45],[41,44],[42,47],[43,46],[48,54],[49,55],[50,53],[51,52],[56,61],[57,60],[58,63],[59,62],[64,84],[65,85],[66,86],[67,87],[68,80],[69,81],[70,82],[71,83],[72,95],[73,94],[74,92],[75,93],[76,90],[77,91],[78,89],[79,88]],
[[0,8,2,10,1,9,3,11],[4,14,6,13,5,15,7,12],[16,24,18,26,17,25,19,27],[20,30,22,29,21,31,23,28],[32,42,34,41,33,43,35,40],[36,44,38,46,37,45,39,47],[48,58,50,57,49,59,51,56],[52,60,54,62,53,61,55,63],[64,88,66,90,65,89,67,91],[68,94,70,93,69,95,71,92],[72,82,74,81,73,83,75,80],[76,84,78,86,77,85,79,87]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c ac 
() c ab 
() bc acd 
() bcd ad 

Design No 12(for Input Group of Order 16 and Index 8) Group Size 16 42206191 E4A856BB
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c ac 
() c abc 
() bc a 
() bcd acd 

Design No 13(for Input Group of Order 16 and Index 8) Group Size 16 4A8E46A8 65270413
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c ac 
() c abc 
() bc ad 
() bcd ac 

Design No 14(for Input Group of Order 16 and Index 8) Group Size 32 B616E10A C8245FCE
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[4,7],[5,6],[8,9],[12,14],[13,15],[16,17],[20,22],[21,23],[26,27],[28,31],[29,30],[32,35],[33,34],[38,39],[40,43],[41,42],[46,47],[48,51],[49,50],[54,55],[56,59],[57,58],[62,63],[64,80],[65,81],[66,83],[67,82],[68,87],[69,86],[70,85],[71,84],[72,89],[73,88],[74,90],[75,91],[76,94],[77,95],[78,92],[79,93]],
[[0,1],[4,6],[5,7],[10,11],[12,15],[13,14],[18,19],[20,23],[21,22],[24,25],[28,30],[29,31],[32,34],[33,35],[36,37],[40,42],[41,43],[44,45],[48,50],[49,51],[52,53],[56,58],[57,59],[60,61],[64,81],[65,80],[66,82],[67,83],[68,86],[69,87],[70,84],[71,85],[72,88],[73,89],[74,91],[75,90],[76,95],[77,94],[78,93],[79,92]],
[[0,2,1,3],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63],[64,66,65,67],[68,70,69,71],[72,74,73,75],[76,78,77,79],[80,82,81,83],[84,86,85,87],[88,90,89,91],[92,94,93,95]],
[[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62],[64,68],[65,69],[66,71],[67,70],[72,76],[73,77],[74,79],[75,78],[80,84],[81,85],[82,87],[83,86],[88,92],[89,93],[90,95],[91,94]],
[[0,8],[1,9],[2,10],[3,11],[4,13],[5,12],[6,15],[7,14],[16,25],[17,24],[18,27],[19,26],[20,28],[21,29],[22,30],[23,31],[32,42],[33,43],[34,41],[35,40],[36,46],[37,47],[38,45],[39,44],[48,58],[49,59],[50,57],[51,56],[52,62],[53,63],[54,61],[55,60],[64,88],[65,89],[66,90],[67,91],[68,93],[69,92],[70,95],[71,94],[72,80],[73,81],[74,82],[75,83],[76,85],[77,84],[78,87],[79,86]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c abc 
() bd ac 
() bc ac 

Design No 15(for Input Group of Order 16 and Index 8) Group Size 32 DAA5B773 996EC61D
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[4,7],[5,6],[8,9],[12,14],[13,15],[16,17],[20,22],[21,23],[26,27],[28,31],[29,30],[32,35],[33,34],[38,39],[40,43],[41,42],[46,47],[48,51],[49,50],[54,55],[56,59],[57,58],[62,63],[64,80],[65,81],[66,83],[67,82],[68,87],[69,86],[70,85],[71,84],[72,89],[73,88],[74,90],[75,91],[76,94],[77,95],[78,92],[79,93]],
[[0,1],[4,6],[5,7],[10,11],[12,15],[13,14],[18,19],[20,23],[21,22],[24,25],[28,30],[29,31],[32,34],[33,35],[36,37],[40,42],[41,43],[44,45],[48,50],[49,51],[52,53],[56,58],[57,59],[60,61],[64,81],[65,80],[66,82],[67,83],[68,86],[69,87],[70,84],[71,85],[72,88],[73,89],[74,91],[75,90],[76,95],[77,94],[78,93],[79,92]],
[[0,2,1,3],[4,6,5,7],[8,10,9,11],[12,14,13,15],[16,18,17,19],[20,22,21,23],[24,26,25,27],[28,30,29,31],[32,34,33,35],[36,38,37,39],[40,42,41,43],[44,46,45,47],[48,50,49,51],[52,54,53,55],[56,58,57,59],[60,62,61,63],[64,66,65,67],[68,70,69,71],[72,74,73,75],[76,78,77,79],[80,82,81,83],[84,86,85,87],[88,90,89,91],[92,94,93,95]],
[[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62],[64,68],[65,69],[66,71],[67,70],[72,76],[73,77],[74,79],[75,78],[80,84],[81,85],[82,87],[83,86],[88,92],[89,93],[90,95],[91,94]],
[[0,8],[1,9],[2,10],[3,11],[4,13],[5,12],[6,15],[7,14],[16,25],[17,24],[18,27],[19,26],[20,28],[21,29],[22,30],[23,31],[32,42],[33,43],[34,41],[35,40],[36,46],[37,47],[38,45],[39,44],[48,58],[49,59],[50,57],[51,56],[52,62],[53,63],[54,61],[55,60],[64,88],[65,89],[66,90],[67,91],[68,93],[69,92],[70,95],[71,94],[72,80],[73,81],[74,82],[75,83],[76,85],[77,84],[78,87],[79,86]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c abc 
() bd acd 
() bc acd 

Design No 16(for Input Group of Order 16 and Index 8) Group Size 384 A88C3351 DCBE35FC
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[4,12],[5,13],[6,15],[7,14],[10,11],[18,19],[20,29],[21,28],[22,30],[23,31],[26,27],[32,51],[33,50],[34,49],[35,48],[36,60],[37,61],[38,63],[39,62],[40,58],[41,59],[42,56],[43,57],[44,52],[45,53],[46,55],[47,54],[64,75],[65,74],[66,73],[67,72],[68,86],[69,87],[70,84],[71,85],[76,94],[77,95],[78,92],[79,93],[80,91],[81,90],[82,89],[83,88]],
[[2,11],[3,10],[4,5],[6,14],[7,15],[12,13],[18,26],[19,27],[20,21],[22,31],[23,30],[28,29],[32,91],[33,90],[34,65],[35,64],[36,95],[37,94],[38,69],[39,68],[40,88],[41,89],[42,67],[43,66],[44,93],[45,92],[46,70],[47,71],[48,75],[49,74],[50,81],[51,80],[52,79],[53,78],[54,85],[55,84],[56,72],[57,73],[58,83],[59,82],[60,77],[61,76],[62,86],[63,87]],
[[4,15],[5,14],[6,12],[7,13],[8,9],[10,11],[16,17],[18,19],[20,31],[21,30],[22,28],[23,29],[32,48],[33,49],[34,50],[35,51],[36,61],[37,60],[38,63],[39,62],[40,57],[41,56],[42,59],[43,58],[44,53],[45,52],[46,55],[47,54],[64,91],[65,90],[66,88],[67,89],[72,82],[73,83],[74,81],[75,80],[76,77],[78,79],[92,93],[94,95]],
[[1,8,9],[2,4,15],[3,12,6],[5,7,11],[10,13,14],[16,25,17],[18,29,31],[19,20,23],[21,30,27],[22,26,28],[32,35,63],[33,40,53],[34,52,43],[36,47,37],[38,51,48],[39,56,59],[41,62,42],[44,57,49],[45,50,58],[54,61,60],[64,87,91],[65,79,66],[67,89,86],[68,72,82],[69,80,75],[71,94,95],[73,74,93],[76,77,85],[78,90,88],[81,83,92]],
[[0,1],[4,7],[5,6],[10,11],[12,14],[13,15],[18,19],[20,22],[21,23],[24,25],[28,31],[29,30],[32,34],[33,35],[38,39],[40,42],[41,43],[46,47],[48,50],[49,51],[54,55],[56,58],[57,59],[62,63],[64,81],[65,80],[66,82],[67,83],[68,87],[69,86],[70,85],[71,84],[72,88],[73,89],[74,91],[75,90],[76,94],[77,95],[78,92],[79,93]],
[[0,2],[1,3],[4,5],[8,11],[9,10],[14,15],[16,19],[17,18],[22,23],[24,26],[25,27],[28,29],[34,35],[36,39],[37,38],[42,43],[44,47],[45,46],[50,51],[52,55],[53,54],[58,59],[60,63],[61,62],[64,82],[65,83],[66,80],[67,81],[68,85],[69,84],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,92],[77,93],[78,95],[79,94]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd ac 
() bcd ac 

Design No 17(for Input Group of Order 16 and Index 8) Group Size 32 5D768764 483DA466
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[4,6],[5,7],[10,11],[12,14],[13,15],[18,19],[20,22],[21,23],[26,27],[28,30],[29,31],[32,35],[33,34],[36,37],[40,42],[41,43],[46,47],[48,51],[49,50],[52,53],[56,58],[57,59],[62,63],[64,80],[65,81],[66,83],[67,82],[68,86],[69,87],[70,84],[71,85],[72,88],[73,89],[74,91],[75,90],[76,94],[77,95],[78,92],[79,93]],
[[0,1],[4,7],[5,6],[8,9],[12,15],[13,14],[16,17],[20,23],[21,22],[24,25],[28,31],[29,30],[32,34],[33,35],[38,39],[40,43],[41,42],[44,45],[48,50],[49,51],[54,55],[56,59],[57,58],[60,61],[64,81],[65,80],[66,82],[67,83],[68,87],[69,86],[70,85],[71,84],[72,89],[73,88],[74,90],[75,91],[76,95],[77,94],[78,93],[79,92]],
[[0,2],[1,3],[4,5],[8,10],[9,11],[12,13],[16,18],[17,19],[20,21],[24,26],[25,27],[28,29],[34,35],[36,39],[37,38],[40,41],[44,46],[45,47],[50,51],[52,55],[53,54],[56,57],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,85],[69,84],[70,86],[71,87],[72,90],[73,91],[74,88],[75,89],[76,93],[77,92],[78,94],[79,95]],
[[0,4],[1,5],[2,7],[3,6],[8,12],[9,13],[10,15],[11,14],[16,20],[17,21],[18,23],[19,22],[24,28],[25,29],[26,31],[27,30],[32,36],[33,37],[34,39],[35,38],[40,44],[41,45],[42,47],[43,46],[48,52],[49,53],[50,55],[51,54],[56,60],[57,61],[58,63],[59,62],[64,68],[65,69],[66,71],[67,70],[72,76],[73,77],[74,79],[75,78],[80,84],[81,85],[82,87],[83,86],[88,92],[89,93],[90,95],[91,94]],
[[0,8,1,9],[2,10,3,11],[4,12,5,13],[6,14,7,15],[16,24,17,25],[18,26,19,27],[20,28,21,29],[22,30,23,31],[32,42,33,43],[34,41,35,40],[36,47,37,46],[38,44,39,45],[48,58,49,59],[50,57,51,56],[52,63,53,62],[54,60,55,61],[64,88,65,89],[66,90,67,91],[68,92,69,93],[70,94,71,95],[72,81,73,80],[74,83,75,82],[76,85,77,84],[78,87,79,86]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c abc 
() bd ac 
() bcd acd 

Design No 18(for Input Group of Order 16 and Index 8) Group Size 96 56314F53 451E3CC8
Group generators (treatments are numbered () d c cd b bd bc bcd a ad ac acd ab abd abc abcd )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[2,3],[4,6],[5,7],[10,11],[12,14],[13,15],[18,19],[20,22],[21,23],[26,27],[28,30],[29,31],[32,35],[33,34],[36,37],[40,42],[41,43],[46,47],[48,51],[49,50],[52,53],[56,58],[57,59],[62,63],[64,80],[65,81],[66,83],[67,82],[68,86],[69,87],[70,84],[71,85],[72,88],[73,89],[74,91],[75,90],[76,94],[77,95],[78,92],[79,93]],
[[2,14],[3,15],[4,5],[6,11],[7,10],[12,13],[18,30],[19,31],[20,21],[22,27],[23,26],[28,29],[32,91],[33,90],[34,68],[35,69],[36,95],[37,94],[38,64],[39,65],[40,93],[41,92],[42,66],[43,67],[44,88],[45,89],[46,71],[47,70],[50,60],[51,61],[52,53],[54,56],[55,57],[62,63],[74,87],[75,86],[76,77],[78,82],[79,83],[84,85]],
[[0,1],[4,7],[5,6],[8,9],[12,15],[13,14],[16,17],[20,23],[21,22],[24,25],[28,31],[29,30],[32,34],[33,35],[38,39],[40,43],[41,42],[44,45],[48,50],[49,51],[54,55],[56,59],[57,58],[60,61],[64,81],[65,80],[66,82],[67,83],[68,87],[69,86],[70,85],[71,84],[72,89],[73,88],[74,90],[75,91],[76,95],[77,94],[78,93],[79,92]],
[[0,2],[1,3],[4,5],[8,10],[9,11],[12,13],[16,18],[17,19],[20,21],[24,26],[25,27],[28,29],[34,35],[36,39],[37,38],[40,41],[44,46],[45,47],[50,51],[52,55],[53,54],[56,57],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,85],[69,84],[70,86],[71,87],[72,90],[73,91],[74,88],[75,89],[76,93],[77,92],[78,94],[79,95]],
[[0,4,3,7,1,5,2,6],[8,12,11,15,9,13,10,14],[16,20,19,23,17,21,18,22],[24,28,27,31,25,29,26,30],[32,38,35,36,33,39,34,37],[40,47,43,45,41,46,42,44],[48,54,51,52,49,55,50,53],[56,63,59,61,57,62,58,60],[64,84,67,87,65,85,66,86],[68,83,71,81,69,82,70,80],[72,92,75,95,73,93,74,94],[76,91,79,89,77,90,78,88]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c abc 
() bd acd 
() bcd ac 

Design No 19(for Input Group of Order 16 and Index 8) Group Size 16 543E61AD 7F496C28
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() c a 
() bd a 
() bc ac 

Design No 20(for Input Group of Order 16 and Index 8) Group Size 16 3CA7D475 C8C5D696
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() c a 
() bd ad 
() bc acd 

Design No 21(for Input Group of Order 16 and Index 8) Group Size 16 61888371 2B7D920A
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() c a 
() bd ac 
() bc ad 

Design No 22(for Input Group of Order 16 and Index 8) Group Size 16 8C63D881 5C0BAA26
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() c a 
() bd acd 
() bc a 

Design No 23(for Input Group of Order 16 and Index 8) Group Size 16 FA492375 FEA7CDCE
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() c ac 
() bd a 
() bc ac 

Design No 24(for Input Group of Order 16 and Index 8) Group Size 16 5EDB0A81 9B753403
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() c ac 
() bd ad 
() bc acd 

Design No 25(for Input Group of Order 16 and Index 8) Group Size 16 A54B87EE A0BF0021
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() c ac 
() bd ac 
() bc ad 

Design No 26(for Input Group of Order 16 and Index 8) Group Size 16 8EF90673 9810945A
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() c ac 
() bd acd 
() bc a