Design No 1(for Input Group of Order 16 and Index 9) Group Size 0 6AFB652F 10905AD0
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^16 
{(0)^39 (1)^39 (3)^2 }^64 
Initial Blocks, in the group representation:
() d c 
() b a 
() b a 
() bc acd 
() bc acd 

Design No 2(for Input Group of Order 16 and Index 9) Group Size 2097152 D02446EE 87469669
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
[[47,63]],
[[46,62]],
[[44,60]],
[[45,61]],
[[42,58]],
[[35,51]],
[[38,54]],
[[34,50]],
[[39,55]],
[[43,59]],
[[40,56]],
[[33,49]],
[[36,52]],
[[37,53]],
[[41,57]],
[[32,48]],
[[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],[80,94],[81,95],[82,92],[83,93],[84,85],[88,90],[89,91]],
[[0,1],[4,9],[5,8],[6,10],[7,11],[12,15],[13,14],[18,19],[20,24],[21,25],[22,27],[23,26],[28,30],[29,31],[32,33],[36,41],[37,40],[38,42],[39,43],[44,47],[45,46],[48,49],[52,57],[53,56],[54,58],[55,59],[60,63],[61,62],[64,65],[68,73],[69,72],[70,74],[71,75],[76,79],[77,78],[80,95],[81,94],[82,93],[83,92],[86,87],[88,91],[89,90]],
[[0,2],[1,3],[4,10],[5,11],[6,8],[7,9],[12,13],[16,19],[17,18],[20,27],[21,26],[22,25],[23,24],[30,31],[32,34],[33,35],[36,42],[37,43],[38,40],[39,41],[44,45],[48,50],[49,51],[52,58],[53,59],[54,56],[55,57],[60,61],[64,66],[65,67],[68,74],[69,75],[70,72],[71,73],[76,77],[80,93],[81,92],[82,94],[83,95],[84,87],[85,86],[88,89]],
[[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 }^48 
{(0)^39 (1)^39 (3)^2 }^32 
Initial Blocks, in the group representation:
() d c 
() b a 
() b a 
() bc acd 
() bc ab 

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

Design No 4(for Input Group of Order 16 and Index 9) Group Size 32 01559505 0F69D635
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],[4,10],[5,11],[6,8],[7,9],[12,14],[13,15],[16,17],[20,27],[21,26],[22,25],[23,24],[28,31],[29,30],[32,64],[33,65],[34,67],[35,66],[36,74],[37,75],[38,72],[39,73],[40,70],[41,71],[42,68],[43,69],[44,78],[45,79],[46,76],[47,77],[48,87],[49,86],[50,85],[51,84],[52,95],[53,94],[54,93],[55,92],[56,80],[57,81],[58,83],[59,82],[60,90],[61,91],[62,88],[63,89]],
[[0,1],[4,11],[5,10],[6,9],[7,8],[12,15],[13,14],[18,19],[20,26],[21,27],[22,24],[23,25],[28,30],[29,31],[32,65],[33,64],[34,66],[35,67],[36,75],[37,74],[38,73],[39,72],[40,71],[41,70],[42,69],[43,68],[44,79],[45,78],[46,77],[47,76],[48,86],[49,87],[50,84],[51,85],[52,94],[53,95],[54,92],[55,93],[56,81],[57,80],[58,82],[59,83],[60,91],[61,90],[62,89],[63,88]],
[[0,2],[1,3],[4,9],[5,8],[6,10],[7,11],[12,13],[16,19],[17,18],[20,24],[21,25],[22,27],[23,26],[30,31],[32,66],[33,67],[34,64],[35,65],[36,73],[37,72],[38,74],[39,75],[40,69],[41,68],[42,70],[43,71],[44,77],[45,76],[46,78],[47,79],[48,84],[49,85],[50,87],[51,86],[52,92],[53,93],[54,95],[55,94],[56,82],[57,83],[58,80],[59,81],[60,89],[61,88],[62,90],[63,91]],
[[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 
() b ad 
() bc ac 
() bc ab 

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

Design No 6(for Input Group of Order 16 and Index 9) Group Size 32 6C6555F8 E16FA0B0
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],[16,17],[20,21],[24,27],[25,26],[28,30],[29,31],[32,48],[33,49],[34,51],[35,50],[36,52],[37,53],[38,55],[39,54],[40,58],[41,59],[42,56],[43,57],[44,63],[45,62],[46,61],[47,60],[64,87],[65,86],[66,85],[67,84],[68,83],[69,82],[70,81],[71,80],[72,95],[73,94],[74,93],[75,92],[76,91],[77,90],[78,89],[79,88]],
[[0,1],[4,5],[8,11],[9,10],[12,14],[13,15],[18,19],[22,23],[24,26],[25,27],[28,31],[29,30],[32,49],[33,48],[34,50],[35,51],[36,53],[37,52],[38,54],[39,55],[40,59],[41,58],[42,57],[43,56],[44,62],[45,63],[46,60],[47,61],[64,86],[65,87],[66,84],[67,85],[68,82],[69,83],[70,80],[71,81],[72,94],[73,95],[74,92],[75,93],[76,90],[77,91],[78,88],[79,89]],
[[0,2],[1,3],[4,6],[5,7],[8,9],[14,15],[16,19],[17,18],[20,23],[21,22],[26,27],[28,29],[32,50],[33,51],[34,48],[35,49],[36,54],[37,55],[38,52],[39,53],[40,57],[41,56],[42,58],[43,59],[44,60],[45,61],[46,63],[47,62],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,92],[73,93],[74,95],[75,94],[76,88],[77,89],[78,91],[79,90]],
[[0,4,1,5],[2,6,3,7],[8,15,9,14],[10,12,11,13],[16,21,17,20],[18,23,19,22],[24,30,25,31],[26,29,27,28],[32,52,33,53],[34,54,35,55],[36,49,37,48],[38,51,39,50],[40,63,41,62],[42,60,43,61],[44,59,45,58],[46,56,47,57],[64,83,65,82],[66,80,67,81],[68,86,69,87],[70,85,71,84],[72,91,73,90],[74,88,75,89],[76,94,77,95],[78,93,79,92]],
[[0,8,2,10,1,9,3,11],[4,14,6,13,5,15,7,12],[16,25,18,27,17,24,19,26],[20,31,22,28,21,30,23,29],[32,56,34,58,33,57,35,59],[36,62,38,61,37,63,39,60],[40,50,42,49,41,51,43,48],[44,52,46,54,45,53,47,55],[64,93,66,95,65,92,67,94],[68,90,70,89,69,91,71,88],[72,84,74,86,73,85,75,87],[76,83,78,80,77,82,79,81]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d c 
() b a 
() b ac 
() bc a 
() bc ab 

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

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

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

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

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

Design No 12(for Input Group of Order 16 and Index 9) Group Size 16 B0A8284B 808E116F
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 
() bc ab 

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

Design No 14(for Input Group of Order 16 and Index 9) Group Size 16 F84A9496 343FD21D
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 ad 
() bc abd 

Design No 15(for Input Group of Order 16 and Index 9) Group Size 32 EA636B9B BCC80F6F
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],[4,5],[8,11],[9,10],[12,15],[13,14],[16,17],[22,23],[24,26],[25,27],[28,30],[29,31],[32,35],[33,34],[36,39],[37,38],[42,43],[44,45],[48,51],[49,50],[52,55],[53,54],[58,59],[60,61],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,91],[73,90],[74,89],[75,88],[76,95],[77,94],[78,93],[79,92]],
[[0,1],[6,7],[8,10],[9,11],[12,14],[13,15],[18,19],[20,21],[24,27],[25,26],[28,31],[29,30],[32,34],[33,35],[36,38],[37,39],[40,41],[46,47],[48,50],[49,51],[52,54],[53,55],[56,57],[62,63],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,90],[73,91],[74,88],[75,89],[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],[8,14],[9,15],[10,13],[11,12],[16,21],[17,20],[18,23],[19,22],[24,31],[25,30],[26,28],[27,29],[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]],
[[0,8,1,9],[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 ab 
() bc ab 
() bc abcd 

Design No 16(for Input Group of Order 16 and Index 9) Group Size 16 23D07442 A33B3F22
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 
() bc ac 

Design No 17(for Input Group of Order 16 and Index 9) 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],[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],[64,87],[65,86],[66,85],[67,84],[68,83],[69,82],[70,81],[71,80],[72,94],[73,95],[74,92],[75,93],[76,90],[77,91],[78,88],[79,89]],
[[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],[52,91],[53,90],[54,83],[55,82],[56,66],[57,67],[58,75],[59,74],[60,80],[61,81],[62,88],[63,89],[68,77],[69,76],[78,79],[86,94],[87,95],[92,93]],
[[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],[64,86],[65,87],[66,84],[67,85],[68,82],[69,83],[70,80],[71,81],[72,95],[73,94],[74,93],[75,92],[76,91],[77,90],[78,89],[79,88]],
[[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],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,93],[73,92],[74,94],[75,95],[76,89],[77,88],[78,90],[79,91]],
[[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],[64,83,65,82],[66,80,67,81],[68,86,69,87],[70,85,71,84],[72,90,73,91],[74,89,75,88],[76,95,77,94],[78,92,79,93]]
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 a 
() bc abd 

Design No 18(for Input Group of Order 16 and Index 9) 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],[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],[64,87],[65,86],[66,85],[67,84],[68,83],[69,82],[70,81],[71,80],[72,94],[73,95],[74,92],[75,93],[76,90],[77,91],[78,88],[79,89]],
[[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],[64,86],[65,87],[66,84],[67,85],[68,82],[69,83],[70,80],[71,81],[72,95],[73,94],[74,93],[75,92],[76,91],[77,90],[78,89],[79,88]],
[[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],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,93],[73,92],[74,94],[75,95],[76,89],[77,88],[78,90],[79,91]],
[[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],[64,83,65,82],[66,80,67,81],[68,86,69,87],[70,85,71,84],[72,90,73,91],[74,89,75,88],[76,95,77,94],[78,92,79,93]],
[[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],[64,93,67,94,65,92,66,95],[68,90,71,88,69,91,70,89],[72,85,75,86,73,84,74,87],[76,82,79,80,77,83,78,81]]
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 
() bc abcd 

Design No 19(for Input Group of Order 16 and Index 9) Group Size 16 70CC5A40 2A044A03
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 
() bc acd 

Design No 20(for Input Group of Order 16 and Index 9) Group Size 16 4943121C 746DF799
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 
() bc ac 

Design No 21(for Input Group of Order 16 and Index 9) Group Size 32 0396D796 7C2B72E7
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],[64,87],[65,86],[66,85],[67,84],[68,83],[69,82],[70,81],[71,80],[72,95],[73,94],[74,93],[75,92],[76,91],[77,90],[78,89],[79,88]],
[[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],[64,86],[65,87],[66,84],[67,85],[68,82],[69,83],[70,80],[71,81],[72,94],[73,95],[74,92],[75,93],[76,90],[77,91],[78,88],[79,89]],
[[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],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,92],[73,93],[74,95],[75,94],[76,88],[77,89],[78,91],[79,90]],
[[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],[64,83,65,82],[66,80,67,81],[68,86,69,87],[70,85,71,84],[72,91,73,90],[74,88,75,89],[76,94,77,95],[78,93,79,92]],
[[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],[64,93,66,95,65,92,67,94],[68,90,70,89,69,91,71,88],[72,84,74,86,73,85,75,87],[76,83,78,80,77,82,79,81]]
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 ac 
() bc abc 

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

Design No 23(for Input Group of Order 16 and Index 9) Group Size 16 0AFE8756 6D96C66D
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 
() bc abd 

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