Design No 1(for Input Group of Order 16 and Index 2) Group Size 16 37109002 72DF7A4C
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc a ab 
() c ad ab abcd 

Design No 2(for Input Group of Order 16 and Index 2) Group Size 16 EB02E7F7 AD89BA0A
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc a ab 
() c ad abd abc 

Design No 3(for Input Group of Order 16 and Index 2) Group Size 16 BD0EEA4E 243C3FCD
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc a abd 
() c b ab abcd 

Design No 4(for Input Group of Order 16 and Index 2) Group Size 16 137B698B B502522B
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc a abd 
() c b abd abc 

Design No 5(for Input Group of Order 16 and Index 2) Group Size 16 8A57D600 D5B41DB9
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 
Initial Blocks, in the group representation:
() d c b a 
() d bc a abd 
() c bd ab abcd 

Design No 6(for Input Group of Order 16 and Index 2) Group Size 16 037D8A7E 9064A1DE
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc a abd 
() c bd abd abc 

Design No 7(for Input Group of Order 16 and Index 2) Group Size 16 656B6CA8 6E40117C
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
Initial Blocks, in the group representation:
() d c b a 
() d bc acd abc 
() c ad ab abcd 

Design No 8(for Input Group of Order 16 and Index 2) Group Size 16 AF18F331 DABF2FE9
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^32 
Initial Blocks, in the group representation:
() d c b a 
() d bc acd abc 
() c ad abd abc 

Design No 9(for Input Group of Order 16 and Index 2) Group Size 16 DE3F88FB D5712CC9
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc acd abcd 
() c b ab abcd 

Design No 10(for Input Group of Order 16 and Index 2) Group Size 16 46B1F9DE C77A9404
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc acd abcd 
() c b abd abc 

Design No 11(for Input Group of Order 16 and Index 2) Group Size 16 6B02C666 9975B633
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
Initial Blocks, in the group representation:
() d c b a 
() d bc acd abcd 
() c bd ab abcd 

Design No 12(for Input Group of Order 16 and Index 2) Group Size 16 37EA79EE F2FBDC12
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc acd abcd 
() c bd abd abc 

Design No 13(for Input Group of Order 16 and Index 2) Group Size 32 29924242 EFA370CE
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],[4,8],[5,10],[6,9],[7,11],[13,14],[17,18],[20,24],[21,26],[22,25],[23,27],[29,30],[32,46],[33,44],[34,47],[35,45],[37,38],[40,43],[49,50],[52,56],[53,58],[54,57],[55,59],[61,62]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^32 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc abd abcd 
() cd b a ab 

Design No 14(for Input Group of Order 16 and Index 2) Group Size 32 3BEE81CC A1A3EBB6
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],[4,8],[5,10],[6,9],[7,11],[13,14],[17,18],[20,24],[21,26],[22,25],[23,27],[29,30],[32,46],[33,44],[34,47],[35,45],[37,38],[40,43],[49,50],[52,56],[53,58],[54,57],[55,59],[61,62]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d bc abd abcd 
() cd bd ac abcd 

Design No 15(for Input Group of Order 16 and Index 2) Group Size 16 C97F6ADB C56A6D82
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d a ab abc 
() cd b a abcd 

Design No 16(for Input Group of Order 16 and Index 2) Group Size 16 1EF70631 682F52B8
Block Intersection Formula 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
Initial Blocks, in the group representation:
() d c b a 
() d a ab abc 
() cd bd ac ab 

Design No 17(for Input Group of Order 16 and Index 2) Group Size 32 77397E05 A52A4DD3
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],[4,8],[5,10],[6,9],[7,11],[13,14],[17,18],[20,24],[21,26],[22,25],[23,27],[29,30],[32,46],[33,44],[34,47],[35,45],[37,38],[40,43],[49,50],[52,56],[53,58],[54,57],[55,59],[61,62]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 
{(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d a abd abcd 
() cd b a abcd 

Design No 18(for Input Group of Order 16 and Index 2) Group Size 32 F6E9EA77 5945C9F8
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],[4,8],[5,10],[6,9],[7,11],[13,14],[17,18],[20,24],[21,26],[22,25],[23,27],[29,30],[32,46],[33,44],[34,47],[35,45],[37,38],[40,43],[49,50],[52,56],[53,58],[54,57],[55,59],[61,62]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 
Initial Blocks, in the group representation:
() d c b a 
() d a abd abcd 
() cd bd ac ab 

Design No 19(for Input Group of Order 16 and Index 2) Group Size 32 5F526E92 B03F9603
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],[4,8],[5,10],[6,9],[7,11],[13,14],[17,18],[20,24],[21,26],[22,25],[23,27],[29,30],[32,45],[33,47],[34,44],[35,46],[36,39],[41,42],[49,50],[52,56],[53,58],[54,57],[55,59],[61,62]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
Initial Blocks, in the group representation:
() d c b a 
() d ac ab abc 
() cd b a abcd 

Design No 20(for Input Group of Order 16 and Index 2) Group Size 32 2B3FFB04 58C67795
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],[4,8],[5,10],[6,9],[7,11],[13,14],[17,18],[20,24],[21,26],[22,25],[23,27],[29,30],[32,45],[33,47],[34,44],[35,46],[36,39],[41,42],[49,50],[52,56],[53,58],[54,57],[55,59],[61,62]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
{(0)^2 (1)^25 (2)^15 (3)^5 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d ac ab abc 
() cd bd ac ab 

Design No 21(for Input Group of Order 16 and Index 2) Group Size 16 D1D4E281 5F021F8F
Block Intersection Formula 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 
Initial Blocks, in the group representation:
() d b bc a 
() d a acd ab 
() c b ab abcd 

Design No 22(for Input Group of Order 16 and Index 2) Group Size 32 D00ED5E6 AAD5CD96
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
[[1,3],[4,13],[5,14],[6,15],[7,12],[9,11],[16,61],[17,62],[18,63],[19,60],[20,51],[21,48],[22,49],[23,50],[24,55],[25,52],[26,53],[27,54],[28,59],[29,56],[30,57],[31,58],[32,41],[33,42],[34,43],[35,40],[36,38],[44,46]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bc a 
() d a acd ab 
() c b abd abc 

Design No 23(for Input Group of Order 16 and Index 2) Group Size 32 1C3B604B 344CE8BA
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
[[1,3],[4,12],[5,15],[6,14],[7,13],[8,10],[16,62],[17,61],[18,60],[19,63],[20,49],[21,50],[22,51],[23,48],[24,54],[25,53],[26,52],[27,55],[28,59],[29,56],[30,57],[31,58],[32,42],[33,41],[34,40],[35,43],[37,39],[44,46]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bc a 
() d a acd ab 
() c bd abd abc 

Design No 24(for Input Group of Order 16 and Index 2) Group Size 32 C11FB3FF A1CF61FF
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],[32,33],[34,35],[36,38],[37,39],[44,47],[45,46],[48,50],[49,51],[52,53],[54,55],[56,59],[57,58]],
[[0,1],[2,3],[4,6],[5,7],[12,15],[13,14],[20,23],[21,22],[24,25],[26,27],[28,30],[29,31],[36,39],[37,38],[40,41],[42,43],[44,46],[45,47],[48,51],[49,50],[56,58],[57,59],[60,61],[62,63]],
[[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]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bc a 
() d a ab abcd 
() c a acd ab 

Design No 25(for Input Group of Order 16 and Index 2) Group Size 96 44192418 D0634FF1
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],[32,33],[34,35],[36,38],[37,39],[44,47],[45,46],[48,50],[49,51],[52,53],[54,55],[56,59],[57,58]],
[[1,2,3],[4,11,12],[5,9,15],[6,8,13],[7,10,14],[16,48,44],[17,50,47],[18,51,45],[19,49,46],[20,59,35],[21,57,32],[22,56,34],[23,58,33],[24,61,43],[25,63,40],[26,62,42],[27,60,41],[28,52,37],[29,54,38],[30,55,36],[31,53,39]],
[[0,1],[2,3],[4,6],[5,7],[12,15],[13,14],[20,23],[21,22],[24,25],[26,27],[28,30],[29,31],[36,39],[37,38],[40,41],[42,43],[44,46],[45,47],[48,51],[49,50],[56,58],[57,59],[60,61],[62,63]],
[[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]]
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^48 
Initial Blocks, in the group representation:
() d b bc a 
() d a ab abcd 
() c a acd abd 

Design No 26(for Input Group of Order 16 and Index 2) Group Size 32 D16405DD 0D9AC9D3
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],[32,33],[34,35],[36,38],[37,39],[44,47],[45,46],[48,50],[49,51],[52,53],[54,55],[56,59],[57,58]],
[[0,1],[2,3],[4,6],[5,7],[12,15],[13,14],[20,23],[21,22],[24,25],[26,27],[28,30],[29,31],[36,39],[37,38],[40,41],[42,43],[44,46],[45,47],[48,51],[49,50],[56,58],[57,59],[60,61],[62,63]],
[[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]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^32 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bc a 
() d a ab abcd 
() c a acd abc 

Design No 27(for Input Group of Order 16 and Index 2) Group Size 96 BDB61923 2A681129
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],[32,33],[34,35],[36,38],[37,39],[44,47],[45,46],[48,50],[49,51],[52,53],[54,55],[56,59],[57,58]],
[[1,2,3],[4,8,14,7,9,12],[5,10,13,6,11,15],[16,48,47,17,50,44],[18,51,46,19,49,45],[20,56,34,22,59,35],[21,58,33,23,57,32],[24,62,41],[25,60,42],[26,61,40],[27,63,43],[28,52,37,31,53,39],[29,54,38,30,55,36]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 
Initial Blocks, in the group representation:
() d b bc a 
() d ac ab abcd 
() c a acd abc 

Design No 28(for Input Group of Order 16 and Index 2) Group Size 64 61D0992B 2428CD29
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],[8,10],[9,11],[12,13],[14,15],[16,17],[18,19],[20,22],[21,23],[24,27],[25,26],[32,33],[34,35],[36,38],[37,39],[40,43],[41,42],[48,50],[49,51],[52,53],[54,55],[60,63],[61,62]],
[[1,3],[4,13,7,12],[5,14,6,15],[8,11,10,9],[16,63,17,60],[18,61,19,62],[20,49,22,51],[21,50,23,48],[24,54,27,55],[25,53,26,52],[28,58],[29,57],[30,56],[31,59],[32,42,33,41],[34,40,35,43],[36,37,38,39],[44,46]],
[[0,1],[2,3],[4,6],[5,7],[8,11],[9,10],[20,23],[21,22],[24,26],[25,27],[28,29],[30,31],[36,39],[37,38],[40,42],[41,43],[44,45],[46,47],[48,51],[49,50],[56,57],[58,59],[60,62],[61,63]],
[[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]]
Block Intersection Formula 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^32 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bc ab 
() d a acd ab 
() c ad ab abcd 

Design No 29(for Input Group of Order 16 and Index 2) Group Size 32 91810F26 D3D3A30A
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],[8,10],[9,11],[12,13],[14,15],[16,17],[18,19],[20,22],[21,23],[24,27],[25,26],[32,33],[34,35],[36,38],[37,39],[40,43],[41,42],[48,50],[49,51],[52,53],[54,55],[60,63],[61,62]],
[[0,1],[2,3],[4,6],[5,7],[8,11],[9,10],[20,23],[21,22],[24,26],[25,27],[28,29],[30,31],[36,39],[37,38],[40,42],[41,43],[44,45],[46,47],[48,51],[49,50],[56,57],[58,59],[60,62],[61,63]],
[[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]],
[[0,4,2,6],[1,5,3,7],[8,14,10,12],[9,15,11,13],[16,21,18,23],[17,20,19,22],[24,31,26,29],[25,30,27,28],[32,37,34,39],[33,36,35,38],[40,47,42,45],[41,46,43,44],[48,54,50,52],[49,55,51,53],[56,60,58,62],[57,61,59,63]],
[[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]]
Block Intersection Formula 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bc ab 
() d a acd ab 
() c ad abd abc 

Design No 30(for Input Group of Order 16 and Index 2) Group Size 64 0DEEF8EC 2A3F2F5D
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],[8,10],[9,11],[12,13],[14,15],[16,17],[18,19],[20,22],[21,23],[24,27],[25,26],[32,33],[34,35],[36,38],[37,39],[40,43],[41,42],[48,50],[49,51],[52,53],[54,55],[60,63],[61,62]],
[[1,3],[4,12,7,13],[5,15,6,14],[8,9,10,11],[16,60,17,63],[18,62,19,61],[20,51,22,49],[21,48,23,50],[24,55,27,54],[25,52,26,53],[28,58],[29,57],[30,56],[31,59],[32,41,33,42],[34,43,35,40],[36,39,38,37],[44,46]],
[[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]],
[[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]]
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bc ab 
() d a acd abc 
() c ad ab abcd 

Design No 31(for Input Group of Order 16 and Index 2) Group Size 192 4B76706B 23238DCA
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],[16,17],[18,19],[24,27],[25,26],[28,30],[29,31],[32,33],[34,35],[40,43],[41,42],[44,46],[45,47],[48,50],[49,51],[52,55],[53,54],[60,61],[62,63]],
[[2,3],[4,6,5,7],[8,14,10,13],[9,15,11,12],[16,32,17,33],[18,35,19,34],[20,38],[21,39],[22,37],[23,36],[24,46,27,44],[25,47,26,45],[28,41,30,42],[29,40,31,43],[48,54,50,53],[49,55,51,52],[56,57],[60,63,61,62]],
[[1,2],[4,11,5,9],[6,10,7,8],[12,13,15,14],[16,50,17,48],[18,51,19,49],[20,57],[21,59],[22,56],[23,58],[24,52,27,55],[25,54,26,53],[28,63,30,62],[29,61,31,60],[32,45,33,47],[34,44,35,46],[37,38],[40,42,43,41]],
[[0,1],[2,3],[8,11],[9,10],[12,14],[13,15],[20,21],[22,23],[24,26],[25,27],[28,31],[29,30],[36,37],[38,39],[40,42],[41,43],[44,47],[45,46],[48,51],[49,50],[52,54],[53,55],[56,57],[58,59]],
[[0,4],[1,5],[2,6],[3,7],[8,14],[9,15],[10,12],[11,13],[16,21],[17,20],[18,23],[19,22],[24,31],[25,30],[26,29],[27,28],[32,37],[33,36],[34,39],[35,38],[40,47],[41,46],[42,45],[43,44],[48,54],[49,55],[50,52],[51,53],[56,60],[57,61],[58,62],[59,63]]
Block Intersection Formula 
{(0)^7 (1)^10 (2)^30 (5)^1 }^48 
Initial Blocks, in the group representation:
() d b a acd 
() d bc ab abc 
() c b bcd ad 

Design No 32(for Input Group of Order 16 and Index 2) Group Size 96 12398676 62904B58
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],[16,32],[17,33],[18,35],[19,34],[20,37],[21,36],[22,38],[23,39],[24,44],[25,45],[26,47],[27,46],[28,40],[29,41],[30,43],[31,42],[48,53],[49,52],[50,54],[51,55],[58,59],[60,61]],
[[1,2],[4,11],[5,9],[6,10],[7,8],[13,14],[16,48],[17,50],[18,49],[19,51],[20,59],[21,57],[22,58],[23,56],[24,55],[25,53],[26,54],[27,52],[28,60],[29,62],[30,61],[31,63],[32,45],[33,47],[34,44],[35,46],[37,38],[40,43]],
[[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]],
[[0,4],[1,5],[2,7],[3,6],[8,9],[14,15],[16,36],[17,37],[18,39],[19,38],[20,32],[21,33],[22,35],[23,34],[24,41],[25,40],[26,42],[27,43],[28,44],[29,45],[30,47],[31,46],[50,51],[52,53],[56,60],[57,61],[58,63],[59,62]]
Block Intersection Formula 
{(0)^1 (1)^26 (2)^18 (4)^2 (5)^1 }^48 
Initial Blocks, in the group representation:
() d a acd ab 
() d a ab abc 
() c b bcd ab 

Design No 33(for Input Group of Order 16 and Index 2) Group Size 32 A3C28ABC 394A2D8A
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],[16,33],[17,32],[18,34],[19,35],[20,36],[21,37],[22,39],[23,38],[24,44],[25,45],[26,47],[27,46],[28,40],[29,41],[30,43],[31,42],[48,53],[49,52],[50,54],[51,55],[56,57],[62,63]],
[[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]],
[[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]],
[[0,4],[1,5],[2,7],[3,6],[10,11],[12,13],[16,37],[17,36],[18,38],[19,39],[20,33],[21,32],[22,34],[23,35],[24,41],[25,40],[26,42],[27,43],[28,44],[29,45],[30,47],[31,46],[50,51],[52,53],[56,61],[57,60],[58,62],[59,63]],
[[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]]
Block Intersection Formula 
{(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^32 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^16 
Initial Blocks, in the group representation:
() d a acd ab 
() d a ab abc 
() c b bcd abc