Design No 1(for Input Group of Order 16 and Index 5) Group Size 16 D9F6E12C E8CA7571
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 b ab abc 
() cd b ac abcd 

Design No 2(for Input Group of Order 16 and Index 5) Group Size 16 E8271ED7 92617162
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 b ab abc 
() cd b acd abc 

Design No 3(for Input Group of Order 16 and Index 5) Group Size 16 529CAE1E 933336A6
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 b ab abc 
() cd bd ac abcd 

Design No 4(for Input Group of Order 16 and Index 5) Group Size 16 4DEEAD02 F6AADD4C
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 b ab abc 
() cd bd acd abc 

Design No 5(for Input Group of Order 16 and Index 5) Group Size 16 0920832B 84F027EC
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 b ab abcd 
() c bd ac abc 

Design No 6(for Input Group of Order 16 and Index 5) Group Size 16 D5F0012A A753962C
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 b ab abcd 
() c bd acd abcd 

Design No 7(for Input Group of Order 16 and Index 5) Group Size 16 EB4614D1 327A9DD9
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 b abd abc 
() c bd ac abc 

Design No 8(for Input Group of Order 16 and Index 5) Group Size 16 AD61F932 24E7AD08
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 b abd abc 
() c bd acd abcd 

Design No 9(for Input Group of Order 16 and Index 5) Group Size 16 984AA444 350015B3
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 b abd abcd 
() cd b ac abcd 

Design No 10(for Input Group of Order 16 and Index 5) Group Size 16 5CC8CD57 C7FDA3BE
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 b abd abcd 
() cd b acd abc 

Design No 11(for Input Group of Order 16 and Index 5) Group Size 16 A36EC269 032C0E26
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 b abd abcd 
() cd bd ac abcd 

Design No 12(for Input Group of Order 16 and Index 5) Group Size 16 5931E47E 5B17AA35
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 b abd abcd 
() cd bd acd abc 

Design No 13(for Input Group of Order 16 and Index 5) Group Size 16 6ACFCFA9 282DA7B9
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 ab abc 
() cd b ac abcd 

Design No 14(for Input Group of Order 16 and Index 5) Group Size 16 497400ED 54A71EA1
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 ab abc 
() cd b acd abc 

Design No 15(for Input Group of Order 16 and Index 5) Group Size 16 9137A435 33CBF1C8
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 ab abc 
() cd bd ac abcd 

Design No 16(for Input Group of Order 16 and Index 5) Group Size 16 AB4D7062 37BC5FB3
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 ab abc 
() cd bd acd abc 

Design No 17(for Input Group of Order 16 and Index 5) Group Size 16 96B49228 27310218
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 ab abcd 
() c bd ac abc 

Design No 18(for Input Group of Order 16 and Index 5) Group Size 16 21EE6F34 EE1A2919
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 ab abcd 
() c bd acd abcd 

Design No 19(for Input Group of Order 16 and Index 5) Group Size 16 90F7BE5F 7BDC73A0
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 abd abc 
() c bd ac abc 

Design No 20(for Input Group of Order 16 and Index 5) Group Size 16 E7499686 42D7897D
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 abd abc 
() c bd acd abcd 

Design No 21(for Input Group of Order 16 and Index 5) Group Size 16 2EF96481 AC8E1292
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 abd abcd 
() cd b ac abcd 

Design No 22(for Input Group of Order 16 and Index 5) Group Size 16 94D62177 B6B38EBA
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 abd abcd 
() cd b acd abc 

Design No 23(for Input Group of Order 16 and Index 5) Group Size 16 14B52735 71C29C3D
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 bc abd abcd 
() cd bd ac abcd 

Design No 24(for Input Group of Order 16 and Index 5) Group Size 16 16AC93ED C21DEAF1
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 abd abcd 
() cd bd acd abc 

Design No 25(for Input Group of Order 16 and Index 5) Group Size 16 44770AFD 6607D541
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 ac ab abcd 
() c bd ac ab 

Design No 26(for Input Group of Order 16 and Index 5) Group Size 16 DC67D46C 787821A5
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 ac ab abcd 
() c bd acd abd 

Design No 27(for Input Group of Order 16 and Index 5) Group Size 16 EB4FB4D5 506FD7A4
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 ac abd abc 
() c bd ac ab 

Design No 28(for Input Group of Order 16 and Index 5) Group Size 16 C5D157CF 27A2231B
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 ac abd abc 
() c bd acd abd 

Design No 29(for Input Group of Order 16 and Index 5) Group Size 16 C2B65B2F C423953F
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 
{(0)^7 (1)^10 (2)^30 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d ac abd abcd 
() cd b ac ab 

Design No 30(for Input Group of Order 16 and Index 5) Group Size 16 1C0C88C1 F9790577
Block Intersection Formula 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^32 
{(0)^7 (1)^10 (2)^30 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d ac abd abcd 
() cd b acd abd 

Design No 31(for Input Group of Order 16 and Index 5) Group Size 16 8E91C4D6 A4998C20
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 ac abd abcd 
() cd bd ac ab 

Design No 32(for Input Group of Order 16 and Index 5) Group Size 16 FE999763 E33A8422
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c b a 
() d ac abd abcd 
() cd bd acd abd 

Design No 33(for Input Group of Order 16 and Index 5) Group Size 16 2A5AFA8D E67F8587
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 a ab 
() d b bc ac 
() cd b a abd 

Design No 34(for Input Group of Order 16 and Index 5) Group Size 16 C330ABDF 92927F0A
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 a ab 
() d b bc ac 
() cd b ad ab 

Design No 35(for Input Group of Order 16 and Index 5) Group Size 16 22094F2C 3DD0590D
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)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c a ab 
() d b bc ac 
() cd bd a abd 

Design No 36(for Input Group of Order 16 and Index 5) Group Size 16 CF3BA77E 07BB35B4
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 a ab 
() d b bc ac 
() cd bd ad ab 

Design No 37(for Input Group of Order 16 and Index 5) Group Size 16 5DA97DA6 E6303BC1
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 a ab 
() d b bc acd 
() cd b a abd 

Design No 38(for Input Group of Order 16 and Index 5) Group Size 16 F1E40497 FAD2A7C2
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 a ab 
() d b bc acd 
() cd b ad ab 

Design No 39(for Input Group of Order 16 and Index 5) Group Size 16 7476286A 6DD3D9BF
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 a ab 
() d b bc acd 
() cd bd a abd 

Design No 40(for Input Group of Order 16 and Index 5) Group Size 16 1D091722 E838758E
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 a ab 
() d b bc acd 
() cd bd ad ab 

Design No 41(for Input Group of Order 16 and Index 5) Group Size 16 682111DF 4AB2E55B
Block Intersection Formula 
{(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^16 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 
{(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c a ab 
() d b bcd ac 
() c bd a ab 

Design No 42(for Input Group of Order 16 and Index 5) Group Size 16 0F748FEA 89320C08
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 a ab 
() d b bcd ac 
() c bd ad abd 

Design No 43(for Input Group of Order 16 and Index 5) Group Size 16 E290E817 5A377498
Block Intersection Formula 
{(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^16 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 
{(0)^4 (1)^18 (2)^24 (4)^1 (5)^1 }^16 
Initial Blocks, in the group representation:
() d c a ab 
() d b bcd acd 
() c bd a ab 

Design No 44(for Input Group of Order 16 and Index 5) Group Size 16 38337200 8A5280E1
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 a ab 
() d b bcd acd 
() c bd ad abd 

Design No 45(for Input Group of Order 16 and Index 5) Group Size 64 6AEF1790 00DCEFD7
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]],
[[2,3],[4,13,7,15],[5,12,6,14],[8,11,9,10],[16,33,17,32],[18,34,19,35],[20,45,22,46],[21,44,23,47],[24,42],[25,43],[26,41],[27,40],[28,38,31,36],[29,39,30,37],[48,57,50,58],[49,56,51,59],[52,54,53,55],[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],[4,5],[6,7],[8,11],[9,10],[16,19],[17,18],[24,26],[25,27],[28,29],[30,31],[32,35],[33,34],[40,42],[41,43],[44,45],[46,47],[52,55],[53,54],[56,57],[58,59],[60,62],[61,63]],
[[0,4,1,5],[2,6,3,7],[8,13,9,12],[10,15,11,14],[16,21,17,20],[18,23,19,22],[24,28,25,29],[26,30,27,31],[32,37,33,36],[34,39,35,38],[40,44,41,45],[42,46,43,47],[48,54,49,55],[50,52,51,53],[56,63,57,62],[58,61,59,60]]
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 a 
() d ac ab abcd 
() c a acd ab 

Design No 46(for Input Group of Order 16 and Index 5) Group Size 64 061BA30D 8A7FB4F0
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]],
[[2,3],[4,13,7,15],[5,12,6,14],[8,11,9,10],[16,33,17,32],[18,34,19,35],[20,45,22,46],[21,44,23,47],[24,42],[25,43],[26,41],[27,40],[28,38,31,36],[29,39,30,37],[48,57,50,58],[49,56,51,59],[52,54,53,55],[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],[4,5],[6,7],[8,11],[9,10],[16,19],[17,18],[24,26],[25,27],[28,29],[30,31],[32,35],[33,34],[40,42],[41,43],[44,45],[46,47],[52,55],[53,54],[56,57],[58,59],[60,62],[61,63]],
[[0,4,1,5],[2,6,3,7],[8,13,9,12],[10,15,11,14],[16,21,17,20],[18,23,19,22],[24,28,25,29],[26,30,27,31],[32,37,33,36],[34,39,35,38],[40,44,41,45],[42,46,43,47],[48,54,49,55],[50,52,51,53],[56,63,57,62],[58,61,59,60]]
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 a 
() d ac ab abcd 
() c a acd abd 

Design No 47(for Input Group of Order 16 and Index 5) Group Size 32 5614F577 F31C4E74
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],[4,5],[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],[4,5],[6,7],[8,11],[9,10],[16,19],[17,18],[24,26],[25,27],[28,29],[30,31],[32,35],[33,34],[40,42],[41,43],[44,45],[46,47],[52,55],[53,54],[56,57],[58,59],[60,62],[61,63]],
[[0,4,1,5],[2,6,3,7],[8,13,9,12],[10,15,11,14],[16,21,17,20],[18,23,19,22],[24,28,25,29],[26,30,27,31],[32,37,33,36],[34,39,35,38],[40,44,41,45],[42,46,43,47],[48,54,49,55],[50,52,51,53],[56,63,57,62],[58,61,59,60]],
[[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],[32,41],[33,40],[34,43],[35,42],[36,44],[37,45],[38,46],[39,47],[48,58],[49,59],[50,56],[51,57],[52,63],[53,62],[54,61],[55,60]]
Block Intersection Formula 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^16 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^16 
{(0)^4 (1)^19 (2)^21 (3)^3 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bc a 
() d ac ab abcd 
() c a acd abc 

Design No 48(for Input Group of Order 16 and Index 5) Group Size 32 795A5D5A 5C6F82DF
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
[[4,6],[5,7],[8,9],[10,11],[12,15],[13,14],[16,17],[18,19],[20,23],[21,22],[28,30],[29,31],[32,33],[34,35],[36,39],[37,38],[44,46],[45,47],[48,50],[49,51],[56,59],[57,58],[60,61],[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],[8,11],[9,10],[12,13],[14,15],[16,19],[17,18],[20,21],[22,23],[24,26],[25,27],[32,35],[33,34],[36,37],[38,39],[40,42],[41,43],[52,54],[53,55],[56,57],[58,59],[60,63],[61,62]],
[[0,4],[1,5],[2,6],[3,7],[8,13],[9,12],[10,15],[11,14],[16,21],[17,20],[18,23],[19,22],[24,28],[25,29],[26,30],[27,31],[32,37],[33,36],[34,39],[35,38],[40,44],[41,45],[42,46],[43,47],[48,54],[49,55],[50,52],[51,53],[56,63],[57,62],[58,61],[59,60]],
[[0,8],[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[16,25],[17,24],[18,27],[19,26],[20,29],[21,28],[22,31],[23,30],[32,41],[33,40],[34,43],[35,42],[36,45],[37,44],[38,47],[39,46],[48,58],[49,59],[50,56],[51,57],[52,62],[53,63],[54,60],[55,61]]
Block Intersection Formula 
{(0)^6 (1)^13 (2)^27 (3)^1 (5)^1 }^32 
{(0)^7 (1)^10 (2)^30 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bcd a 
() d ac ab abc 
() c bd a acd 

Design No 49(for Input Group of Order 16 and Index 5) Group Size 32 1E842F1B BFDB8323
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
[[4,6],[5,7],[8,9],[10,11],[12,15],[13,14],[16,17],[18,19],[20,23],[21,22],[28,30],[29,31],[32,33],[34,35],[36,39],[37,38],[44,46],[45,47],[48,50],[49,51],[56,59],[57,58],[60,61],[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],[8,11],[9,10],[12,13],[14,15],[16,19],[17,18],[20,21],[22,23],[24,26],[25,27],[32,35],[33,34],[36,37],[38,39],[40,42],[41,43],[52,54],[53,55],[56,57],[58,59],[60,63],[61,62]],
[[0,4],[1,5],[2,6],[3,7],[8,13],[9,12],[10,15],[11,14],[16,21],[17,20],[18,23],[19,22],[24,28],[25,29],[26,30],[27,31],[32,37],[33,36],[34,39],[35,38],[40,44],[41,45],[42,46],[43,47],[48,54],[49,55],[50,52],[51,53],[56,63],[57,62],[58,61],[59,60]],
[[0,8],[1,9],[2,10],[3,11],[4,12],[5,13],[6,14],[7,15],[16,25],[17,24],[18,27],[19,26],[20,29],[21,28],[22,31],[23,30],[32,41],[33,40],[34,43],[35,42],[36,45],[37,44],[38,47],[39,46],[48,58],[49,59],[50,56],[51,57],[52,62],[53,63],[54,60],[55,61]]
Block Intersection Formula 
{(0)^5 (1)^16 (2)^24 (3)^2 (5)^1 }^32 
{(0)^7 (1)^10 (2)^30 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b bcd a 
() d ac ab abc 
() c bd ad ac 

Design No 50(for Input Group of Order 16 and Index 5) Group Size 16 EA074AD0 BFD11878
Block Intersection Formula 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^32 
{(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b a ac 
() d b ab abc 
() cd b bcd a 

Design No 51(for Input Group of Order 16 and Index 5) Group Size 16 A6AEC102 FCE5D0B7
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 a ac 
() d b ab abcd 
() c b bcd a 

Design No 52(for Input Group of Order 16 and Index 5) Group Size 16 5E3A3AE8 D8E5BA87
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 a ac 
() d b ab abcd 
() c b bcd ac 

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

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

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

Design No 56(for Input Group of Order 16 and Index 5) Group Size 32 AE6AE53D 80CDF504
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
[[4,6],[5,7],[8,14],[9,15],[10,12],[11,13],[16,32],[17,33],[18,34],[19,35],[20,38],[21,39],[22,36],[23,37],[24,46],[25,47],[26,44],[27,45],[28,42],[29,43],[30,40],[31,41],[48,54],[49,55],[50,52],[51,53],[60,62],[61,63]],
[[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],[2,6],[3,7],[12,14],[13,15],[16,36],[17,37],[18,38],[19,39],[20,32],[21,33],[22,34],[23,35],[24,40],[25,41],[26,42],[27,43],[28,46],[29,47],[30,44],[31,45],[52,54],[53,55],[56,60],[57,61],[58,62],[59,63]],
[[0,8,1,9],[2,10,3,11],[4,14,5,15],[6,12,7,13],[16,24,17,25],[18,26,19,27],[20,30,21,31],[22,28,23,29],[32,40,33,41],[34,42,35,43],[36,46,37,47],[38,44,39,45],[48,56,49,57],[50,58,51,59],[52,62,53,63],[54,60,55,61]]
Block Intersection Formula 
{(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^32 
{(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b a ac 
() d bc ab abc 
() cd b bcd a 

Design No 57(for Input Group of Order 16 and Index 5) Group Size 32 49004309 25CC59BA
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
[[4,6],[5,7],[8,12],[9,13],[10,14],[11,15],[16,32],[17,33],[18,34],[19,35],[20,38],[21,39],[22,36],[23,37],[24,44],[25,45],[26,46],[27,47],[28,40],[29,41],[30,42],[31,43],[48,54],[49,55],[50,52],[51,53],[56,58],[57,59]],
[[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],[2,6],[3,7],[8,10],[9,11],[16,36],[17,37],[18,38],[19,39],[20,32],[21,33],[22,34],[23,35],[24,42],[25,43],[26,40],[27,41],[28,44],[29,45],[30,46],[31,47],[52,54],[53,55],[56,62],[57,63],[58,60],[59,61]],
[[0,8,1,9],[2,10,3,11],[4,14,5,15],[6,12,7,13],[16,24,17,25],[18,26,19,27],[20,30,21,31],[22,28,23,29],[32,40,33,41],[34,42,35,43],[36,46,37,47],[38,44,39,45],[48,56,49,57],[50,58,51,59],[52,62,53,63],[54,60,55,61]]
Block Intersection Formula 
{(0)^3 (1)^21 (2)^21 (3)^1 (4)^1 (5)^1 }^32 
{(0)^2 (1)^24 (2)^18 (3)^2 (4)^1 (5)^1 }^16 
Initial Blocks, in the group representation:
() d b a ac 
() d bc ab abc 
() cd b bcd ab 

Design No 58(for Input Group of Order 16 and Index 5) Group Size 16 FBB960E8 521948EC
Block Intersection Formula 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 
Initial Blocks, in the group representation:
() d b a ac 
() d bc ab abcd 
() c b bcd a 

Design No 59(for Input Group of Order 16 and Index 5) Group Size 16 944A9D09 B7CA0F15
Block Intersection Formula 
{(0)^3 (1)^22 (2)^18 (3)^4 (5)^1 }^48 
Initial Blocks, in the group representation:
() d b a ac 
() d bc ab abcd 
() c b bcd ac 

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