Design No 1(for Input Group of Order 16 and Index 3) Group Size 128 E7D9560D 999EC67C
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]],
[[4,6],[5,7],[8,10],[9,11],[20,22],[21,23],[24,26],[25,27],[32,64],[33,65],[34,66],[35,67],[36,70],[37,71],[38,68],[39,69],[40,74],[41,75],[42,72],[43,73],[44,76],[45,77],[46,78],[47,79],[48,80],[49,81],[50,82],[51,83],[52,86],[53,87],[54,84],[55,85],[56,90],[57,91],[58,88],[59,89],[60,92],[61,93],[62,94],[63,95]],
[[1,2],[5,6],[8,12],[9,14],[10,13],[11,15],[17,18],[21,22],[24,28],[25,30],[26,29],[27,31],[32,36],[33,38],[34,37],[35,39],[40,89],[41,91],[42,88],[43,90],[44,93],[45,95],[46,92],[47,94],[48,70],[49,68],[50,71],[51,69],[52,66],[53,64],[54,67],[55,65],[56,59],[60,63],[73,74],[77,78],[80,87],[81,85],[82,86],[83,84]],
[[0,1],[2,3],[8,9],[10,11],[16,17],[18,19],[24,25],[26,27],[32,49],[33,48],[34,51],[35,50],[36,52],[37,53],[38,54],[39,55],[40,57],[41,56],[42,59],[43,58],[44,60],[45,61],[46,62],[47,63],[64,81],[65,80],[66,83],[67,82],[68,84],[69,85],[70,86],[71,87],[72,89],[73,88],[74,91],[75,90],[76,92],[77,93],[78,94],[79,95]],
[[0,4],[1,6],[2,5],[3,7],[9,10],[13,14],[16,20],[17,22],[18,21],[19,23],[25,26],[29,30],[33,34],[37,38],[40,93],[41,95],[42,92],[43,94],[44,89],[45,91],[46,88],[47,90],[48,66],[49,64],[50,67],[51,65],[52,70],[53,68],[54,71],[55,69],[56,63],[57,61],[58,62],[59,60],[72,76],[73,78],[74,77],[75,79],[80,83],[84,87]],
[[0,8,3,11],[1,9,2,10],[4,12,7,15],[5,13,6,14],[16,24,19,27],[17,25,18,26],[20,28,23,31],[21,29,22,30],[32,72,35,75],[33,73,34,74],[36,76,39,79],[37,77,38,78],[40,67,43,64],[41,66,42,65],[44,71,47,68],[45,70,46,69],[48,88,51,91],[49,89,50,90],[52,92,55,95],[53,93,54,94],[56,83,59,80],[57,82,58,81],[60,87,63,84],[61,86,62,85]]
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 3) 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
[[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],[33,65],[34,66],[35,67],[36,70],[37,71],[38,68],[39,69],[40,75],[41,74],[42,73],[43,72],[44,77],[45,76],[46,79],[47,78],[48,80],[49,81],[50,82],[51,83],[52,86],[53,87],[54,84],[55,85],[56,91],[57,90],[58,89],[59,88],[60,93],[61,92],[62,95],[63,94]],
[[4,8],[5,9],[6,10],[7,11],[12,15],[13,14],[20,24],[21,25],[22,26],[23,27],[28,31],[29,30],[36,56],[37,57],[38,58],[39,59],[40,52],[41,53],[42,54],[43,55],[44,47],[45,46],[60,63],[61,62],[64,80],[65,81],[66,82],[67,83],[68,72],[69,73],[70,74],[71,75],[76,95],[77,94],[78,93],[79,92],[84,88],[85,89],[86,90],[87,91]],
[[0,1],[2,3],[12,13],[14,15],[16,17],[18,19],[28,29],[30,31],[32,49],[33,48],[34,51],[35,50],[36,52],[37,53],[38,54],[39,55],[40,56],[41,57],[42,58],[43,59],[44,61],[45,60],[46,63],[47,62],[64,81],[65,80],[66,83],[67,82],[68,84],[69,85],[70,86],[71,87],[72,88],[73,89],[74,90],[75,91],[76,93],[77,92],[78,95],[79,94]],
[[0,2],[1,3],[8,9],[10,11],[12,15],[13,14],[16,18],[17,19],[24,25],[26,27],[28,31],[29,30],[32,66],[33,67],[34,64],[35,65],[36,68],[37,69],[38,70],[39,71],[40,73],[41,72],[42,75],[43,74],[44,79],[45,78],[46,77],[47,76],[48,82],[49,83],[50,80],[51,81],[52,84],[53,85],[54,86],[55,87],[56,89],[57,88],[58,91],[59,90],[60,95],[61,94],[62,93],[63,92]],
[[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]]
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 3) 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
[[4,5],[6,7],[8,10],[9,11],[12,15],[13,14],[20,21],[22,23],[24,26],[25,27],[28,31],[29,30],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,58],[41,59],[42,56],[43,57],[44,63],[45,62],[46,61],[47,60],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[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],[33,65],[34,66],[35,67],[36,70],[37,71],[38,68],[39,69],[40,75],[41,74],[42,73],[43,72],[44,77],[45,76],[46,79],[47,78],[48,80],[49,81],[50,82],[51,83],[52,86],[53,87],[54,84],[55,85],[56,91],[57,90],[58,89],[59,88],[60,93],[61,92],[62,95],[63,94]],
[[2,3],[4,8],[5,9],[6,11],[7,10],[12,13],[16,17],[20,25],[21,24],[22,26],[23,27],[30,31],[34,35],[36,88],[37,89],[38,91],[39,90],[40,52],[41,53],[42,55],[43,54],[44,77],[45,76],[46,78],[47,79],[48,80],[49,81],[50,83],[51,82],[56,68],[57,69],[58,71],[59,70],[60,61],[66,67],[72,84],[73,85],[74,87],[75,86],[92,93]],
[[1,2],[4,12],[5,14],[6,13],[7,15],[8,11],[17,18],[20,28],[21,30],[22,29],[23,31],[24,27],[32,59],[33,57],[34,58],[35,56],[37,38],[40,82],[41,80],[42,83],[43,81],[44,78],[45,76],[46,79],[47,77],[48,74],[49,72],[50,75],[51,73],[52,85],[53,87],[54,84],[55,86],[60,63],[64,88],[65,90],[66,89],[67,91],[68,71],[93,94]],
[[0,1],[4,8,6,11],[5,9,7,10],[12,14,13,15],[18,19],[20,25,22,26],[21,24,23,27],[28,31,29,30],[32,81,64,49],[33,80,65,48],[34,82,66,50],[35,83,67,51],[36,40,70,75],[37,41,71,74],[38,43,68,72],[39,42,69,73],[44,62,77,95],[45,63,76,94],[46,61,79,92],[47,60,78,93],[52,88,86,59],[53,89,87,58],[54,91,84,56],[55,90,85,57]],
[[0,4],[1,7],[2,6],[3,5],[9,11],[13,15],[16,22],[17,21],[18,20],[19,23],[24,26],[28,30],[33,35],[37,39],[40,46],[41,45],[42,44],[43,47],[48,83],[49,80],[50,81],[51,82],[52,87],[53,84],[54,85],[55,86],[56,93],[57,94],[58,95],[59,92],[60,89],[61,90],[62,91],[63,88],[64,66],[68,70],[72,76],[73,79],[74,78],[75,77]]
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 acd 
() bcd ad 

Design No 4(for Input Group of Order 16 and Index 3) Group Size 5760 2D06CA53 F82322E1
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],[8,11],[9,10],[12,14],[13,15],[20,21],[22,23],[24,27],[25,26],[28,30],[29,31],[32,48],[33,49],[34,50],[35,51],[36,53],[37,52],[38,55],[39,54],[40,59],[41,58],[42,57],[43,56],[44,62],[45,63],[46,60],[47,61],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[4,6],[5,7],[8,9],[10,11],[12,15],[13,14],[20,22],[21,23],[24,25],[26,27],[28,31],[29,30],[32,64],[33,65],[34,66],[35,67],[36,70],[37,71],[38,68],[39,69],[40,73],[41,72],[42,75],[43,74],[44,79],[45,78],[46,77],[47,76],[48,80],[49,81],[50,82],[51,83],[52,86],[53,87],[54,84],[55,85],[56,89],[57,88],[58,91],[59,90],[60,95],[61,94],[62,93],[63,92]],
[[4,8,12],[5,9,13],[6,10,14],[7,11,15],[20,24,28],[21,25,29],[22,26,30],[23,27,31],[32,72,36],[33,73,37],[34,74,38],[35,75,39],[40,86,49],[41,87,48],[42,84,51],[43,85,50],[44,62,93],[45,63,92],[46,60,95],[47,61,94],[52,65,59],[53,64,58],[54,67,57],[55,66,56],[68,82,89],[69,83,88],[70,80,91],[71,81,90]],
[[2,3],[6,7],[8,12],[9,13],[10,15],[11,14],[16,17],[20,21],[24,29],[25,28],[26,30],[27,31],[32,36],[33,37],[34,39],[35,38],[40,59],[41,58],[42,56],[43,57],[44,63],[45,62],[46,60],[47,61],[48,53],[49,52],[50,54],[51,55],[64,87],[65,86],[66,84],[67,85],[68,83],[69,82],[70,80],[71,81],[74,75],[78,79],[88,89],[92,93]],
[[1,2],[5,6],[8,12],[9,14],[10,13],[11,15],[17,18],[21,22],[24,28],[25,30],[26,29],[27,31],[32,36],[33,38],[34,37],[35,39],[40,89],[41,91],[42,88],[43,90],[44,93],[45,95],[46,92],[47,94],[48,70],[49,68],[50,71],[51,69],[52,66],[53,64],[54,67],[55,65],[56,59],[60,63],[73,74],[77,78],[80,87],[81,85],[82,86],[83,84]],
[[1,4],[2,8],[3,12],[6,9],[7,13],[11,14],[16,32],[17,36],[18,72],[19,76],[20,33],[21,37],[22,73],[23,77],[24,34],[25,38],[26,74],[27,78],[28,35],[29,39],[30,75],[31,79],[40,66],[41,70],[43,46],[44,67],[45,71],[48,53],[50,93],[51,89],[54,92],[55,88],[57,60],[58,80],[59,84],[62,81],[63,85],[65,68],[83,86],[90,95]],
[[0,1],[6,7],[8,15],[9,14],[10,12],[11,13],[18,19],[20,21],[24,30],[25,31],[26,29],[27,28],[32,52],[33,53],[34,55],[35,54],[36,49],[37,48],[38,50],[39,51],[40,41],[46,47],[58,59],[60,61],[64,71],[65,70],[66,68],[67,69],[72,90],[73,91],[74,89],[75,88],[76,95],[77,94],[78,92],[79,93],[80,86],[81,87],[82,85],[83,84]]
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 ad 
() bcd ac 

Design No 5(for Input Group of Order 16 and Index 3) Group Size 96 77CDEAC9 289ED20B
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
[[2,13,14],[3,12,15],[6,10,9],[7,11,8],[18,28,31],[19,29,30],[22,27,24],[23,26,25],[32,87,91],[33,86,90],[34,73,70],[35,72,71],[36,95,83],[37,94,82],[38,66,77],[39,67,76],[40,65,81],[41,64,80],[42,92,79],[43,93,78],[44,85,69],[45,84,68],[46,75,88],[47,74,89],[48,63,51],[49,62,50],[52,55,59],[53,54,58]],
[[4,5],[6,7],[8,10],[9,11],[12,15],[13,14],[16,17],[18,19],[24,27],[25,26],[28,30],[29,31],[32,34],[33,35],[36,39],[37,38],[44,45],[46,47],[48,51],[49,50],[52,54],[53,55],[56,57],[58,59],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[0,1],[2,3],[8,11],[9,10],[12,14],[13,15],[20,21],[22,23],[24,26],[25,27],[28,31],[29,30],[32,35],[33,34],[36,38],[37,39],[40,41],[42,43],[48,50],[49,51],[52,55],[53,54],[60,61],[62,63],[64,81],[65,80],[66,83],[67,82],[68,84],[69,85],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[0,2],[1,3],[4,7],[5,6],[12,13],[14,15],[16,19],[17,18],[20,22],[21,23],[24,25],[26,27],[36,37],[38,39],[40,42],[41,43],[44,47],[45,46],[48,49],[50,51],[56,59],[57,58],[60,62],[61,63],[64,82],[65,83],[66,80],[67,81],[68,87],[69,86],[70,85],[71,84],[72,88],[73,89],[74,90],[75,91],[76,93],[77,92],[78,95],[79,94]],
[[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c a 
() cd ab 
() bc a 
() bcd ac 

Design No 6(for Input Group of Order 16 and Index 3) Group Size 32 7BBA861F 8C7805B4
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],[8,10],[9,11],[12,15],[13,14],[16,17],[18,19],[24,27],[25,26],[28,30],[29,31],[32,34],[33,35],[36,39],[37,38],[44,45],[46,47],[48,51],[49,50],[52,54],[53,55],[56,57],[58,59],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[76,95],[77,94],[78,93],[79,92]],
[[0,1],[2,3],[8,11],[9,10],[12,14],[13,15],[20,21],[22,23],[24,26],[25,27],[28,31],[29,30],[32,35],[33,34],[36,38],[37,39],[40,41],[42,43],[48,50],[49,51],[52,55],[53,54],[60,61],[62,63],[64,81],[65,80],[66,83],[67,82],[68,84],[69,85],[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],[8,10],[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],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]],
[[0,8,1,9],[2,10,3,11],[4,14,5,15],[6,12,7,13],[16,24,17,25],[18,26,19,27],[20,30,21,31],[22,28,23,29],[32,40,33,41],[34,42,35,43],[36,46,37,47],[38,44,39,45],[48,56,49,57],[50,58,51,59],[52,62,53,63],[54,60,55,61],[64,72,65,73],[66,74,67,75],[68,78,69,79],[70,76,71,77],[80,88,81,89],[82,90,83,91],[84,94,85,95],[86,92,87,93]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c a 
() cd ab 
() bc acd 
() bcd ad 

Design No 7(for Input Group of Order 16 and Index 3) Group Size 64 7109F102 C37AA2CB
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],[8,12],[9,13],[10,15],[11,14],[18,19],[22,23],[24,29],[25,28],[26,30],[27,31],[32,48],[33,49],[34,51],[35,50],[36,52],[37,53],[38,55],[39,54],[40,63],[41,62],[42,60],[43,61],[44,59],[45,58],[46,56],[47,57],[64,87],[65,86],[66,84],[67,85],[68,83],[69,82],[70,80],[71,81],[74,75],[78,79],[88,89],[92,93]],
[[4,5],[6,7],[8,11],[9,10],[12,14],[13,15],[16,17],[18,19],[24,26],[25,27],[28,31],[29,30],[32,34],[33,35],[36,39],[37,38],[40,41],[42,43],[48,51],[49,50],[52,54],[53,55],[60,61],[62,63],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[0,1],[6,7],[8,15],[9,14],[10,12],[11,13],[18,19],[20,21],[24,31],[25,30],[26,28],[27,29],[32,50],[33,51],[34,49],[35,48],[36,55],[37,54],[38,52],[39,53],[40,63],[41,62],[42,60],[43,61],[44,58],[45,59],[46,57],[47,56],[64,71],[65,70],[66,68],[67,69],[72,90],[73,91],[74,89],[75,88],[76,95],[77,94],[78,92],[79,93],[80,86],[81,87],[82,85],[83,84]],
[[0,2],[1,3],[4,7],[5,6],[8,9],[10,11],[16,19],[17,18],[20,22],[21,23],[28,29],[30,31],[36,37],[38,39],[40,43],[41,42],[44,46],[45,47],[48,49],[50,51],[56,58],[57,59],[60,63],[61,62],[64,82],[65,83],[66,80],[67,81],[68,87],[69,86],[70,85],[71,84],[72,89],[73,88],[74,91],[75,90],[76,92],[77,93],[78,94],[79,95]],
[[0,4],[1,5],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]],
[[0,8,1,9],[2,10,3,11],[4,14,5,15],[6,12,7,13],[16,24,17,25],[18,26,19,27],[20,30,21,31],[22,28,23,29],[32,40,33,41],[34,42,35,43],[36,46,37,47],[38,44,39,45],[48,56,49,57],[50,58,51,59],[52,62,53,63],[54,60,55,61],[64,72,65,73],[66,74,67,75],[68,78,69,79],[70,76,71,77],[80,88,81,89],[82,90,83,91],[84,94,85,95],[86,92,87,93]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c ab 
() cd a 
() bc a 
() bcd acd 

Design No 8(for Input Group of Order 16 and Index 3) Group Size 64 F3F14065 CF673997
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],[8,12],[9,13],[10,15],[11,14],[18,19],[22,23],[24,29],[25,28],[26,30],[27,31],[32,48],[33,49],[34,51],[35,50],[36,52],[37,53],[38,55],[39,54],[40,63],[41,62],[42,60],[43,61],[44,59],[45,58],[46,56],[47,57],[64,87],[65,86],[66,84],[67,85],[68,83],[69,82],[70,80],[71,81],[74,75],[78,79],[88,89],[92,93]],
[[4,5],[6,7],[8,11],[9,10],[12,14],[13,15],[16,17],[18,19],[24,26],[25,27],[28,31],[29,30],[32,34],[33,35],[36,39],[37,38],[40,41],[42,43],[48,51],[49,50],[52,54],[53,55],[60,61],[62,63],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[0,1],[6,7],[8,15],[9,14],[10,12],[11,13],[18,19],[20,21],[24,31],[25,30],[26,28],[27,29],[32,50],[33,51],[34,49],[35,48],[36,55],[37,54],[38,52],[39,53],[40,63],[41,62],[42,60],[43,61],[44,58],[45,59],[46,57],[47,56],[64,71],[65,70],[66,68],[67,69],[72,90],[73,91],[74,89],[75,88],[76,95],[77,94],[78,92],[79,93],[80,86],[81,87],[82,85],[83,84]],
[[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],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]],
[[0,8,1,9],[2,10,3,11],[4,14,5,15],[6,12,7,13],[16,24,17,25],[18,26,19,27],[20,30,21,31],[22,28,23,29],[32,40,33,41],[34,42,35,43],[36,46,37,47],[38,44,39,45],[48,56,49,57],[50,58,51,59],[52,62,53,63],[54,60,55,61],[64,72,65,73],[66,74,67,75],[68,78,69,79],[70,76,71,77],[80,88,81,89],[82,90,83,91],[84,94,85,95],[86,92,87,93]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c ab 
() cd a 
() bc ad 
() bcd ac 

Design No 9(for Input Group of Order 16 and Index 3) Group Size 32 6B70A56A 1D8839C4
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],[8,11],[9,10],[12,14],[13,15],[16,17],[18,19],[24,26],[25,27],[28,31],[29,30],[32,34],[33,35],[36,39],[37,38],[40,41],[42,43],[48,51],[49,50],[52,54],[53,55],[60,61],[62,63],[64,80],[65,81],[66,82],[67,83],[68,85],[69,84],[70,87],[71,86],[72,91],[73,90],[74,89],[75,88],[76,94],[77,95],[78,92],[79,93]],
[[0,1],[2,3],[8,10],[9,11],[12,15],[13,14],[20,21],[22,23],[24,27],[25,26],[28,30],[29,31],[32,35],[33,34],[36,38],[37,39],[44,45],[46,47],[48,50],[49,51],[52,55],[53,54],[56,57],[58,59],[64,81],[65,80],[66,83],[67,82],[68,84],[69,85],[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],[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],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]],
[[0,8,1,9],[2,10,3,11],[4,14,5,15],[6,12,7,13],[16,24,17,25],[18,26,19,27],[20,30,21,31],[22,28,23,29],[32,40,33,41],[34,42,35,43],[36,46,37,47],[38,44,39,45],[48,56,49,57],[50,58,51,59],[52,62,53,63],[54,60,55,61],[64,72,65,73],[66,74,67,75],[68,78,69,79],[70,76,71,77],[80,88,81,89],[82,90,83,91],[84,94,85,95],[86,92,87,93]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d b 
() c ab 
() cd a 
() bc ac 
() bcd ad 

Design No 10(for Input Group of Order 16 and Index 3) Group Size 32 A46FF07C 2ACE8BF5
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
[[4,6],[5,7],[8,11],[9,10],[12,13],[14,15],[16,17],[18,19],[20,23],[21,22],[24,26],[25,27],[32,34],[33,35],[40,41],[42,43],[44,47],[45,46],[48,51],[49,50],[52,53],[54,55],[60,62],[61,63],[64,80],[65,81],[66,82],[67,83],[68,86],[69,87],[70,84],[71,85],[72,91],[73,90],[74,89],[75,88],[76,93],[77,92],[78,95],[79,94]],
[[0,1],[2,3],[4,7],[5,6],[8,10],[9,11],[20,22],[21,23],[24,27],[25,26],[28,29],[30,31],[32,35],[33,34],[36,37],[38,39],[44,46],[45,47],[48,50],[49,51],[56,57],[58,59],[60,63],[61,62],[64,81],[65,80],[66,83],[67,82],[68,87],[69,86],[70,85],[71,84],[72,90],[73,91],[74,88],[75,89],[76,92],[77,93],[78,94],[79,95]],
[[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],[2,6],[3,7],[8,12],[9,13],[10,14],[11,15],[16,20],[17,21],[18,22],[19,23],[24,28],[25,29],[26,30],[27,31],[32,36],[33,37],[34,38],[35,39],[40,44],[41,45],[42,46],[43,47],[48,52],[49,53],[50,54],[51,55],[56,60],[57,61],[58,62],[59,63],[64,68],[65,69],[66,70],[67,71],[72,76],[73,77],[74,78],[75,79],[80,84],[81,85],[82,86],[83,87],[88,92],[89,93],[90,94],[91,95]],
[[0,8,2,10],[1,9,3,11],[4,12,6,14],[5,13,7,15],[16,25,18,27],[17,24,19,26],[20,29,22,31],[21,28,23,30],[32,42,34,40],[33,43,35,41],[36,46,38,44],[37,47,39,45],[48,59,50,57],[49,58,51,56],[52,63,54,61],[53,62,55,60],[64,88,66,90],[65,89,67,91],[68,92,70,94],[69,93,71,95],[72,82,74,80],[73,83,75,81],[76,86,78,84],[77,87,79,85]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d ab 
() c b 
() cd a 
() bd ad 
() bcd ac