Design No 1(for Input Group of Order 16 and Index 6) Group Size 16 E3A5D741 7821FF83
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d c 
() b a 
() bd a 
() bc ad 
() bc abd 

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

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

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

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

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

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

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

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

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

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

Design No 12(for Input Group of Order 16 and Index 6) Group Size 16 EF9BD36F 4B548BC0
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 abcd 

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

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

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

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

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

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

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

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

Design No 21(for Input Group of Order 16 and Index 6) Group Size 16 9F38C2E9 91D6C745
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d bc 
() c a 
() c ab 
() b ad 
() bd ad 

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

Design No 23(for Input Group of Order 16 and Index 6) Group Size 16 9CC955D0 8417404E
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c ab 
() bd a 
() bc ad 

Design No 24(for Input Group of Order 16 and Index 6) Group Size 16 8ECCE540 1DD36BE0
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c ab 
() bd a 
() bc ac 

Design No 25(for Input Group of Order 16 and Index 6) Group Size 16 5C620AB7 4E0457C7
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c ab 
() bd ad 
() bc a 

Design No 26(for Input Group of Order 16 and Index 6) Group Size 16 FDDD5CC6 41AD2FA2
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c ab 
() bd ad 
() bc acd 

Design No 27(for Input Group of Order 16 and Index 6) Group Size 16 20D0911F 46941C98
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c ab 
() bd ac 
() bc ab 

Design No 28(for Input Group of Order 16 and Index 6) Group Size 16 C9B91BF8 F71DCF1C
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c ab 
() bd ac 
() bc abc 

Design No 29(for Input Group of Order 16 and Index 6) Group Size 16 8E8673F0 D591BFAA
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c ab 
() bd acd 
() bc abd 

Design No 30(for Input Group of Order 16 and Index 6) Group Size 16 AB27529F 4965E9C2
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c ab 
() bd acd 
() bc abcd 

Design No 31(for Input Group of Order 16 and Index 6) Group Size 16 EE07B3EB C2245708
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c abc 
() bd a 
() bc abd 

Design No 32(for Input Group of Order 16 and Index 6) Group Size 16 D87AC725 236AE6D4
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c abc 
() bd a 
() bc abcd 

Design No 33(for Input Group of Order 16 and Index 6) Group Size 16 7FB9F973 C34454A8
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c abc 
() bd ac 
() bc a 

Design No 34(for Input Group of Order 16 and Index 6) Group Size 16 AAC0AEA3 BB775B64
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c b 
() c abc 
() bd ac 
() bc acd 

Design No 35(for Input Group of Order 16 and Index 6) Group Size 16 AB739E2E 1F5FF537
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd a 
() bc ad 

Design No 36(for Input Group of Order 16 and Index 6) Group Size 16 5C4EAF22 73AA2049
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd a 
() bc ac 

Design No 37(for Input Group of Order 16 and Index 6) Group Size 16 CADA6EB3 78B05E7C
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd ad 
() bc a 

Design No 38(for Input Group of Order 16 and Index 6) Group Size 16 30E7696E E8926B0C
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd ad 
() bc acd 

Design No 39(for Input Group of Order 16 and Index 6) Group Size 16 B14A0DC4 F69F9D53
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd ac 
() bc ab 

Design No 40(for Input Group of Order 16 and Index 6) Group Size 16 14B93C25 5584E8C8
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd ac 
() bc abc 

Design No 41(for Input Group of Order 16 and Index 6) Group Size 16 B318C084 14EA326A
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd acd 
() bc abd 

Design No 42(for Input Group of Order 16 and Index 6) Group Size 16 2E9A9368 812B86FB
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c ab 
() bd acd 
() bc abcd 

Design No 43(for Input Group of Order 16 and Index 6) Group Size 16 C66812CC 8F2B468C
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c abc 
() bd a 
() bc abd 

Design No 44(for Input Group of Order 16 and Index 6) Group Size 16 22B64503 65601B69
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c abc 
() bd a 
() bc abcd 

Design No 45(for Input Group of Order 16 and Index 6) Group Size 16 FA5FAFE3 99878838
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c abc 
() bd ac 
() bc a 

Design No 46(for Input Group of Order 16 and Index 6) Group Size 16 C99C7346 EDF92EC0
Block Intersection Formula 
{(0)^40 (1)^36 (2)^3 (3)^1 }^80 
Initial Blocks, in the group representation:
() d a 
() c bc 
() c abc 
() bd ac 
() bc acd