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

Design No 3(for Input Group of Order 16 and Index 7) 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]],
[[0,8,3,11,1,9,2,10],[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 ac 
() c ab 
() bc ad 
() bcd acd 

Design No 4(for Input Group of Order 16 and Index 7) 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]],
[[0,8,3,11,1,9,2,10],[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 ac 
() c ab 
() bc acd 
() bcd ad 

Design No 5(for Input Group of Order 16 and Index 7) Group Size 16 23BB53C7 0F91F8BE
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