Design No 1(for Input Group of Order 14 and Index 1) Group Size 1792 1A44A059 7C6CEC2D
Group generators (treatments are numbered () b bb bbb bbbb bbbbb bbbbbb a ab abb abbb abbbb abbbbb abbbbbb )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[18,25]],
[[20,27]],
[[19,26]],
[[21,28]],
[[17,24]],
[[16,23]],
[[15,22]],
[[0,1,2,3,4,5,6],[7,8,9,10,11,12,13],[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]],
[[0,7],[1,13],[2,12],[3,11],[4,10],[5,9],[6,8],[16,21],[17,20],[18,19],[23,28],[24,27],[25,26],[29,36],[30,42],[31,41],[32,40],[33,39],[34,38],[35,37],[43,50],[44,56],[45,55],[46,54],[47,53],[48,52],[49,51],[57,64],[58,70],[59,69],[60,68],[61,67],[62,66],[63,65],[71,78],[72,84],[73,83],[74,82],[75,81],[76,80],[77,79]]
Block Intersection Formula 
{(0)^32 (1)^36 (3)^2 }^14 
{(0)^33 (1)^33 (2)^3 (3)^1 }^56 
Initial Blocks, in the group representation:
1000 () a 
() b bb 
() bb abbbb 
() bbb ab 
() bbb abbbbbb 

Design No 2(for Input Group of Order 14 and Index 1) Group Size 5376 5EEF4EEA 18A5A730
Group generators (treatments are numbered () b bb bbb bbbb bbbbb bbbbbb a ab abb abbb abbbb abbbbb abbbbbb )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[19,26]],
[[20,27]],
[[21,28]],
[[17,24]],
[[18,25]],
[[16,23]],
[[15,22]],
[[1,2,4],[3,6,5],[8,9,11],[10,13,12],[16,17,19],[18,21,20],[23,24,26],[25,28,27],[29,35,33],[31,32,34],[36,37,39],[38,41,40],[43,57,75],[44,59,72],[45,61,76],[46,63,73],[47,58,77],[48,60,74],[49,62,71],[50,64,81],[51,66,78],[52,68,82],[53,70,79],[54,65,83],[55,67,80],[56,69,84]],
[[0,1,3],[2,5,4],[7,8,10],[9,12,11],[15,16,18],[17,20,19],[22,23,25],[24,27,26],[30,31,33],[32,35,34],[36,38,42],[37,40,39],[43,58,71],[44,60,75],[45,62,72],[46,57,76],[47,59,73],[48,61,77],[49,63,74],[50,65,84],[51,67,81],[52,69,78],[53,64,82],[54,66,79],[55,68,83],[56,70,80]],
[[0,7],[1,12,4,13,2,10],[3,8,5,11,6,9],[16,20,19,21,17,18],[23,27,26,28,24,25],[29,37,33,36,35,39],[30,42],[31,40,34,41,32,38],[43,64,75,50,57,81],[44,69,72,56,59,84],[45,67,76,55,61,80],[46,65,73,54,63,83],[47,70,77,53,58,79],[48,68,74,52,60,82],[49,66,71,51,62,78]]
Block Intersection Formula 
{(0)^32 (1)^36 (3)^2 }^14 
{(0)^33 (1)^33 (2)^3 (3)^1 }^56 
Initial Blocks, in the group representation:
1000 () a 
() b bbb 
() b abbb 
() bb abbbbbb 
() bbb ab 

Design No 3(for Input Group of Order 14 and Index 1) Group Size 5376 8F8E000C CAA48A93
Group generators (treatments are numbered () b bb bbb bbbb bbbbb bbbbbb a ab abb abbb abbbb abbbbb abbbbbb )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[21,28]],
[[20,27]],
[[17,24]],
[[19,26]],
[[18,25]],
[[16,23]],
[[15,22]],
[[1,2,4],[3,6,5],[8,9,11],[10,13,12],[16,17,19],[18,21,20],[23,24,26],[25,28,27],[29,35,33],[31,32,34],[36,37,39],[38,41,40],[43,57,75],[44,59,72],[45,61,76],[46,63,73],[47,58,77],[48,60,74],[49,62,71],[50,64,81],[51,66,78],[52,68,82],[53,70,79],[54,65,83],[55,67,80],[56,69,84]],
[[0,1,2,3,4,5,6],[7,8,9,10,11,12,13],[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]],
[[0,7],[1,12,4,13,2,10],[3,8,5,11,6,9],[16,20,19,21,17,18],[23,27,26,28,24,25],[29,37,33,36,35,39],[30,42],[31,40,34,41,32,38],[43,64,75,50,57,81],[44,69,72,56,59,84],[45,67,76,55,61,80],[46,65,73,54,63,83],[47,70,77,53,58,79],[48,68,74,52,60,82],[49,66,71,51,62,78]]
Block Intersection Formula 
{(0)^32 (1)^36 (3)^2 }^14 
{(0)^33 (1)^33 (2)^3 (3)^1 }^56 
Initial Blocks, in the group representation:
1000 () a 
() b bbb 
() b abbbb 
() bb ab 
() bbb abbbbb 

Design No 4(for Input Group of Order 14 and Index 1) Group Size 5376 F845BBC7 92980EF0
Group generators (treatments are numbered () b bb bbb bbbb bbbbb bbbbbb a ab abb abbb abbbb abbbbb abbbbbb )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[19,26]],
[[21,28]],
[[17,24]],
[[20,27]],
[[18,25]],
[[16,23]],
[[15,22]],
[[1,2,4],[3,6,5],[8,9,11],[10,13,12],[16,17,19],[18,21,20],[23,24,26],[25,28,27],[29,35,33],[31,32,34],[36,37,39],[38,41,40],[43,57,75],[44,59,72],[45,61,76],[46,63,73],[47,58,77],[48,60,74],[49,62,71],[50,64,81],[51,66,78],[52,68,82],[53,70,79],[54,65,83],[55,67,80],[56,69,84]],
[[0,1,2,3,4,5,6],[7,8,9,10,11,12,13],[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]],
[[0,7],[1,10,2,13,4,12],[3,9,6,11,5,8],[16,18,17,21,19,20],[23,25,24,28,26,27],[29,39,35,36,33,37],[30,42],[31,38,32,41,34,40],[43,81,57,50,75,64],[44,84,59,56,72,69],[45,80,61,55,76,67],[46,83,63,54,73,65],[47,79,58,53,77,70],[48,82,60,52,74,68],[49,78,62,51,71,66]]
Block Intersection Formula 
{(0)^32 (1)^36 (3)^2 }^14 
{(0)^33 (1)^33 (2)^3 (3)^1 }^56 
Initial Blocks, in the group representation:
1000 () a 
() b bbb 
() b abbbbb 
() bb abbb 
() bbb abb