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

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

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

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

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