Design No 1(for Input Group of Order 16 and Index 2) Group Size 0 C05C7B74 60C429F9
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 2) Group Size 6291456 482D504D 003B4F8B
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
[[45,61]],
[[47,63]],
[[44,60]],
[[46,62]],
[[41,57]],
[[35,51]],
[[38,54]],
[[39,55]],
[[34,50]],
[[40,56]],
[[33,49]],
[[43,59]],
[[36,52]],
[[37,53]],
[[42,58]],
[[32,48]],
[[2,3],[4,5],[8,13],[9,12],[10,14],[11,15],[16,17],[22,23],[24,28],[25,29],[26,31],[27,30],[32,37],[33,36],[34,38],[35,39],[40,41],[46,47],[48,53],[49,52],[50,54],[51,55],[56,57],[62,63],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,93],[73,92],[74,94],[75,95],[76,89],[77,88],[78,90],[79,91]],
[[1,2],[4,8],[5,10],[6,9],[7,11],[13,14],[17,18],[20,24],[21,26],[22,25],[23,27],[29,30],[33,34],[36,40],[37,42],[38,41],[39,43],[45,46],[49,50],[52,56],[53,58],[54,57],[55,59],[61,62],[64,87],[65,85],[66,86],[67,84],[68,95],[69,93],[70,94],[71,92],[72,82],[73,80],[74,83],[75,81],[76,90],[77,88],[78,91],[79,89]],
[[0,1],[6,7],[8,12],[9,13],[10,15],[11,14],[18,19],[20,21],[24,29],[25,28],[26,30],[27,31],[32,36],[33,37],[34,39],[35,38],[42,43],[44,45],[48,52],[49,53],[50,55],[51,54],[58,59],[60,61],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,92],[73,93],[74,95],[75,94],[76,88],[77,89],[78,91],[79,90]],
[[0,4],[1,5],[2,7],[3,6],[10,11],[12,13],[16,21],[17,20],[18,22],[19,23],[24,25],[30,31],[34,35],[36,37],[40,45],[41,44],[42,46],[43,47],[50,51],[52,53],[56,61],[57,60],[58,62],[59,63],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[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 }^48 
{(0)^39 (1)^39 (3)^2 }^32 
Initial Blocks, in the group representation:
() d c 
() b a 
() b a 
() bc acd 
() bc abcd 

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

Design No 4(for Input Group of Order 16 and Index 2) Group Size 96 93C9BEAB 2F285B6B
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],[8,13],[9,12],[10,14],[11,15],[16,17],[22,23],[24,28],[25,29],[26,31],[27,30],[32,37],[33,36],[34,38],[35,39],[40,41],[46,47],[48,53],[49,52],[50,54],[51,55],[56,57],[62,63],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,93],[73,92],[74,94],[75,95],[76,89],[77,88],[78,90],[79,91]],
[[1,2],[4,8],[5,10],[6,9],[7,11],[13,14],[17,18],[20,24],[21,26],[22,25],[23,27],[29,30],[33,34],[36,40],[37,42],[38,41],[39,43],[45,46],[48,64],[49,66],[50,65],[51,67],[52,72],[53,74],[54,73],[55,75],[56,68],[57,70],[58,69],[59,71],[60,76],[61,78],[62,77],[63,79],[80,94],[81,92],[82,95],[83,93],[85,86],[88,91]],
[[0,1],[6,7],[8,12],[9,13],[10,15],[11,14],[18,19],[20,21],[24,29],[25,28],[26,30],[27,31],[32,36],[33,37],[34,39],[35,38],[42,43],[44,45],[48,52],[49,53],[50,55],[51,54],[58,59],[60,61],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,92],[73,93],[74,95],[75,94],[76,88],[77,89],[78,91],[79,90]],
[[0,4],[1,5],[2,7],[3,6],[10,11],[12,13],[16,21],[17,20],[18,22],[19,23],[24,25],[30,31],[34,35],[36,37],[40,45],[41,44],[42,46],[43,47],[50,51],[52,53],[56,61],[57,60],[58,62],[59,63],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[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 c 
() b a 
() b ad 
() bc a 
() bc abd 

Design No 5(for Input Group of Order 16 and Index 2) Group Size 32 E9493091 D7E7F6B8
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],[8,12],[9,13],[10,15],[11,14],[16,17],[22,23],[24,29],[25,28],[26,30],[27,31],[32,53],[33,52],[34,54],[35,55],[36,49],[37,48],[38,50],[39,51],[40,56],[41,57],[42,59],[43,58],[44,61],[45,60],[46,62],[47,63],[64,80],[65,81],[66,83],[67,82],[68,85],[69,84],[70,86],[71,87],[72,92],[73,93],[74,95],[75,94],[76,88],[77,89],[78,91],[79,90]],
[[0,1],[6,7],[8,13],[9,12],[10,14],[11,15],[18,19],[20,21],[24,28],[25,29],[26,31],[27,30],[32,52],[33,53],[34,55],[35,54],[36,48],[37,49],[38,51],[39,50],[40,57],[41,56],[42,58],[43,59],[44,60],[45,61],[46,63],[47,62],[64,81],[65,80],[66,82],[67,83],[68,84],[69,85],[70,87],[71,86],[72,93],[73,92],[74,94],[75,95],[76,89],[77,88],[78,90],[79,91]],
[[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],[8,9],[14,15],[16,21],[17,20],[18,22],[19,23],[26,27],[28,29],[32,48],[33,49],[34,51],[35,50],[36,53],[37,52],[38,54],[39,55],[40,60],[41,61],[42,63],[43,62],[44,56],[45,57],[46,59],[47,58],[64,84],[65,85],[66,87],[67,86],[68,80],[69,81],[70,83],[71,82],[72,89],[73,88],[74,90],[75,91],[76,92],[77,93],[78,95],[79,94]],
[[0,8,2,10],[1,9,3,11],[4,12,6,14],[5,13,7,15],[16,24,18,26],[17,25,19,27],[20,28,22,30],[21,29,23,31],[32,40,34,42],[33,41,35,43],[36,44,38,46],[37,45,39,47],[48,56,50,58],[49,57,51,59],[52,60,54,62],[53,61,55,63],[64,72,66,74],[65,73,67,75],[68,76,70,78],[69,77,71,79],[80,88,82,90],[81,89,83,91],[84,92,86,94],[85,93,87,95]]
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 abcd 

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

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

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

Design No 9(for Input Group of Order 16 and Index 2) Group Size 6291456 E7D7058D A1EC62E0
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
[[72,88]],
[[77,93]],
[[76,92]],
[[73,89]],
[[78,94]],
[[67,83]],
[[69,85]],
[[68,84]],
[[79,95]],
[[66,82]],
[[70,86]],
[[65,81]],
[[74,90]],
[[71,87]],
[[75,91]],
[[64,80]],
[[2,3],[6,7],[8,15],[9,14],[10,12],[11,13],[18,19],[22,23],[24,31],[25,30],[26,28],[27,29],[32,51],[33,50],[34,48],[35,49],[36,55],[37,54],[38,52],[39,53],[40,60],[41,61],[42,63],[43,62],[44,57],[45,56],[46,58],[47,59],[64,71],[65,70],[66,68],[67,69],[72,73],[76,77],[80,87],[81,86],[82,84],[83,85],[88,89],[92,93]],
[[1,2],[4,8],[5,10],[6,9],[7,11],[13,14],[16,32],[17,34],[18,33],[19,35],[20,40],[21,42],[22,41],[23,43],[24,36],[25,38],[26,37],[27,39],[28,44],[29,46],[30,45],[31,47],[49,50],[52,56],[53,58],[54,57],[55,59],[61,62],[65,66],[68,72],[69,74],[70,73],[71,75],[77,78],[81,82],[84,88],[85,90],[86,89],[87,91],[93,94]],
[[0,1],[4,5],[8,14],[9,15],[10,13],[11,12],[16,17],[20,21],[24,30],[25,31],[26,29],[27,28],[32,50],[33,51],[34,49],[35,48],[36,54],[37,55],[38,53],[39,52],[40,61],[41,60],[42,62],[43,63],[44,56],[45,57],[46,59],[47,58],[64,70],[65,71],[66,69],[67,68],[74,75],[78,79],[80,86],[81,87],[82,85],[83,84],[90,91],[94,95]],
[[0,4,1,5],[2,7,3,6],[8,10,9,11],[12,14,13,15],[16,20,17,21],[18,23,19,22],[24,26,25,27],[28,30,29,31],[32,55,33,54],[34,52,35,53],[36,50,37,51],[38,49,39,48],[40,57,41,56],[42,58,43,59],[44,61,45,60],[46,62,47,63],[64,66,65,67],[68,70,69,71],[72,77,73,76],[74,78,75,79],[80,82,81,83],[84,86,85,87],[88,93,89,92],[90,94,91,95]]
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 b 
() c a 
() cd ab 
() bc ad 
() bc ad 

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

Design No 11(for Input Group of Order 16 and Index 2) Group Size 32 67BA3B85 CEE160F3
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],[8,14],[9,15],[10,13],[11,12],[18,19],[22,23],[24,30],[25,31],[26,29],[27,28],[32,51],[33,50],[34,48],[35,49],[36,55],[37,54],[38,52],[39,53],[40,61],[41,60],[42,62],[43,63],[44,56],[45,57],[46,59],[47,58],[64,87],[65,86],[66,84],[67,85],[68,82],[69,83],[70,81],[71,80],[72,88],[73,89],[74,91],[75,90],[76,92],[77,93],[78,95],[79,94]],
[[0,1],[4,5],[8,15],[9,14],[10,12],[11,13],[16,17],[20,21],[24,31],[25,30],[26,28],[27,29],[32,50],[33,51],[34,49],[35,48],[36,54],[37,55],[38,53],[39,52],[40,60],[41,61],[42,63],[43,62],[44,57],[45,56],[46,58],[47,59],[64,86],[65,87],[66,85],[67,84],[68,83],[69,82],[70,80],[71,81],[72,89],[73,88],[74,90],[75,91],[76,93],[77,92],[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],[16,24,18,26],[17,25,19,27],[20,28,22,30],[21,29,23,31],[32,40,34,42],[33,41,35,43],[36,44,38,46],[37,45,39,47],[48,56,50,58],[49,57,51,59],[52,60,54,62],[53,61,55,63],[64,72,66,74],[65,73,67,75],[68,76,70,78],[69,77,71,79],[80,88,82,90],[81,89,83,91],[84,92,86,94],[85,93,87,95]]
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 
() bc ad 

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

Design No 13(for Input Group of Order 16 and Index 2) Group Size 32 D2E0CBFF 3E2CB123
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],[8,14],[9,15],[10,13],[11,12],[18,19],[22,23],[24,30],[25,31],[26,29],[27,28],[32,51],[33,50],[34,48],[35,49],[36,55],[37,54],[38,52],[39,53],[40,61],[41,60],[42,62],[43,63],[44,56],[45,57],[46,59],[47,58],[64,71],[65,70],[66,68],[67,69],[74,75],[78,79],[80,87],[81,86],[82,84],[83,85],[90,91],[94,95]],
[[0,1],[4,5],[8,15],[9,14],[10,12],[11,13],[16,17],[20,21],[24,31],[25,30],[26,28],[27,29],[32,50],[33,51],[34,49],[35,48],[36,54],[37,55],[38,53],[39,52],[40,60],[41,61],[42,63],[43,62],[44,57],[45,56],[46,58],[47,59],[64,70],[65,71],[66,69],[67,68],[72,73],[76,77],[80,86],[81,87],[82,85],[83,84],[88,89],[92,93]],
[[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]],
[[0,8,2,10],[1,9,3,11],[4,12,6,14],[5,13,7,15],[16,24,18,26],[17,25,19,27],[20,28,22,30],[21,29,23,31],[32,40,34,42],[33,41,35,43],[36,44,38,46],[37,45,39,47],[48,56,50,58],[49,57,51,59],[52,60,54,62],[53,61,55,63],[64,72,66,74],[65,73,67,75],[68,76,70,78],[69,77,71,79],[80,88,82,90],[81,89,83,91],[84,92,86,94],[85,93,87,95]]
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 
() bc acd 

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

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

Design No 16(for Input Group of Order 16 and Index 2) Group Size 16 A3DB983F 293EFFCB
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c ab 
() cd b 
() b a 
() bc acd 

Design No 17(for Input Group of Order 16 and Index 2) Group Size 32 E46BF15F B7BF6028
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
[[4,7],[5,6],[8,9],[10,11],[12,14],[13,15],[16,17],[18,19],[20,22],[21,23],[28,31],[29,30],[32,34],[33,35],[36,37],[38,39],[40,43],[41,42],[48,51],[49,50],[56,58],[57,59],[60,61],[62,63],[64,87],[65,86],[66,85],[67,84],[68,81],[69,80],[70,83],[71,82],[72,94],[73,95],[74,92],[75,93],[76,88],[77,89],[78,90],[79,91]],
[[0,1],[2,3],[4,6],[5,7],[12,15],[13,14],[20,23],[21,22],[24,25],[26,27],[28,30],[29,31],[32,35],[33,34],[40,42],[41,43],[44,45],[46,47],[48,50],[49,51],[52,53],[54,55],[56,59],[57,58],[64,86],[65,87],[66,84],[67,85],[68,80],[69,81],[70,82],[71,83],[72,95],[73,94],[74,93],[75,92],[76,89],[77,88],[78,91],[79,90]],
[[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],[16,24,18,26],[17,25,19,27],[20,28,22,30],[21,29,23,31],[32,40,34,42],[33,41,35,43],[36,44,38,46],[37,45,39,47],[48,56,50,58],[49,57,51,59],[52,60,54,62],[53,61,55,63],[64,72,66,74],[65,73,67,75],[68,76,70,78],[69,77,71,79],[80,88,82,90],[81,89,83,91],[84,92,86,94],[85,93,87,95]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c ab 
() cd b 
() b a 
() bc abcd 

Design No 18(for Input Group of Order 16 and Index 2) Group Size 32 25335C90 1C7C8A13
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
[[4,7],[5,6],[8,9],[10,11],[12,14],[13,15],[16,17],[18,19],[20,22],[21,23],[28,31],[29,30],[32,34],[33,35],[36,37],[38,39],[40,43],[41,42],[48,51],[49,50],[56,58],[57,59],[60,61],[62,63],[64,87],[65,86],[66,85],[67,84],[68,81],[69,80],[70,83],[71,82],[72,94],[73,95],[74,92],[75,93],[76,88],[77,89],[78,90],[79,91]],
[[0,1],[2,3],[4,6],[5,7],[12,15],[13,14],[20,23],[21,22],[24,25],[26,27],[28,30],[29,31],[32,35],[33,34],[40,42],[41,43],[44,45],[46,47],[48,50],[49,51],[52,53],[54,55],[56,59],[57,58],[64,86],[65,87],[66,84],[67,85],[68,80],[69,81],[70,82],[71,83],[72,95],[73,94],[74,93],[75,92],[76,89],[77,88],[78,91],[79,90]],
[[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],[16,24,18,26],[17,25,19,27],[20,28,22,30],[21,29,23,31],[32,40,34,42],[33,41,35,43],[36,44,38,46],[37,45,39,47],[48,56,50,58],[49,57,51,59],[52,60,54,62],[53,61,55,63],[64,72,66,74],[65,73,67,75],[68,76,70,78],[69,77,71,79],[80,88,82,90],[81,89,83,91],[84,92,86,94],[85,93,87,95]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c ab 
() cd b 
() b ad 
() bc abc 

Design No 19(for Input Group of Order 16 and Index 2) Group Size 48 4C21E0B8 2F9828F3
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
[[1,2,3],[4,9,14],[5,11,13],[6,10,15],[7,8,12],[16,32,51],[17,34,48],[18,35,50],[19,33,49],[20,41,61],[21,43,62],[22,42,60],[23,40,63],[24,44,52],[25,46,55],[26,47,53],[27,45,54],[28,39,59],[29,37,56],[30,36,58],[31,38,57],[64,73,69],[65,75,70],[66,74,68],[67,72,71],[76,78,77],[80,90,87],[81,88,84],[82,89,86],[83,91,85],[92,93,95]],
[[0,1],[2,3],[4,5],[6,7],[8,9],[10,11],[12,13],[14,15],[16,17],[18,19],[20,21],[22,23],[24,25],[26,27],[28,29],[30,31],[32,33],[34,35],[36,37],[38,39],[40,41],[42,43],[44,45],[46,47],[48,49],[50,51],[52,53],[54,55],[56,57],[58,59],[60,61],[62,63],[64,65],[66,67],[68,69],[70,71],[72,73],[74,75],[76,77],[78,79],[80,81],[82,83],[84,85],[86,87],[88,89],[90,91],[92,93],[94,95]],
[[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]]
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c ab 
() cd b 
() b acd 
() bc a 

Design No 20(for Input Group of Order 16 and Index 2) Group Size 96 CFF456D3 486D8262
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
[[4,7],[5,6],[8,9],[10,11],[12,14],[13,15],[16,17],[18,19],[20,22],[21,23],[28,31],[29,30],[32,34],[33,35],[36,37],[38,39],[40,43],[41,42],[48,51],[49,50],[56,58],[57,59],[60,61],[62,63],[64,87],[65,86],[66,85],[67,84],[68,81],[69,80],[70,83],[71,82],[72,94],[73,95],[74,92],[75,93],[76,88],[77,89],[78,90],[79,91]],
[[1,2,3],[4,9,14],[5,11,13],[6,10,15],[7,8,12],[16,32,51],[17,34,48],[18,35,50],[19,33,49],[20,41,61],[21,43,62],[22,42,60],[23,40,63],[24,44,52],[25,46,55],[26,47,53],[27,45,54],[28,39,59],[29,37,56],[30,36,58],[31,38,57],[64,73,69],[65,75,70],[66,74,68],[67,72,71],[76,78,77],[80,87,95],[81,85,92],[82,84,94],[83,86,93],[88,90,89]],
[[0,1],[2,3],[4,6],[5,7],[12,15],[13,14],[20,23],[21,22],[24,25],[26,27],[28,30],[29,31],[32,35],[33,34],[40,42],[41,43],[44,45],[46,47],[48,50],[49,51],[52,53],[54,55],[56,59],[57,58],[64,86],[65,87],[66,84],[67,85],[68,80],[69,81],[70,82],[71,83],[72,95],[73,94],[74,93],[75,92],[76,89],[77,88],[78,91],[79,90]],
[[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 a 
() c ab 
() cd b 
() b acd 
() bc ab 

Design No 21(for Input Group of Order 16 and Index 2) Group Size 96 0E28C847 6AF1635E
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
[[4,7],[5,6],[8,9],[10,11],[12,14],[13,15],[16,17],[18,19],[20,22],[21,23],[28,31],[29,30],[32,34],[33,35],[36,37],[38,39],[40,43],[41,42],[48,51],[49,50],[56,58],[57,59],[60,61],[62,63],[64,87],[65,86],[66,85],[67,84],[68,81],[69,80],[70,83],[71,82],[72,94],[73,95],[74,92],[75,93],[76,88],[77,89],[78,90],[79,91]],
[[1,2,3],[4,9,14],[5,11,13],[6,10,15],[7,8,12],[16,32,51],[17,34,48],[18,35,50],[19,33,49],[20,41,61],[21,43,62],[22,42,60],[23,40,63],[24,44,52],[25,46,55],[26,47,53],[27,45,54],[28,39,59],[29,37,56],[30,36,58],[31,38,57],[64,69,78],[65,71,77],[66,70,79],[67,68,76],[73,74,75],[80,90,87],[81,88,84],[82,89,86],[83,91,85],[92,93,95]],
[[0,1],[2,3],[4,6],[5,7],[12,15],[13,14],[20,23],[21,22],[24,25],[26,27],[28,30],[29,31],[32,35],[33,34],[40,42],[41,43],[44,45],[46,47],[48,50],[49,51],[52,53],[54,55],[56,59],[57,58],[64,86],[65,87],[66,84],[67,85],[68,80],[69,81],[70,82],[71,83],[72,95],[73,94],[74,93],[75,92],[76,89],[77,88],[78,91],[79,90]],
[[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 a 
() c ab 
() cd b 
() b abd 
() bc a