Design No 1(for Input Group of Order 12 and Index 5) Group Size 24 02F7F7A7 D14B55B9
Group generators (treatments are numbered () c b bc bb bbc a ac ab abc abb abbc )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[6,7],[8,9],[10,11],[19,20],[21,22],[23,24],[25,37],[26,38],[27,39],[28,40],[29,41],[30,42],[31,44],[32,43],[33,46],[34,45],[35,48],[36,47]],
[[0,1],[2,3],[4,5],[13,14],[15,16],[17,18],[25,38],[26,37],[27,40],[28,39],[29,42],[30,41],[31,43],[32,44],[33,45],[34,46],[35,47],[36,48]],
[[0,2,4],[1,3,5],[6,8,10],[7,9,11],[13,15,17],[14,16,18],[19,21,23],[20,22,24],[25,27,29],[26,28,30],[31,33,35],[32,34,36],[37,39,41],[38,40,42],[43,45,47],[44,46,48],[49,50,51]],
[[0,6],[1,7],[2,8],[3,9],[4,10],[5,11],[13,19],[14,20],[15,21],[16,22],[17,23],[18,24],[25,43],[26,44],[27,45],[28,46],[29,47],[30,48],[31,37],[32,38],[33,39],[34,40],[35,41],[36,42]]
Block Intersection Formula 
{(0)^5 (1)^23 (2)^9 (3)^1 (4)^1 }^12 
{(0)^6 (1)^20 (2)^12 (4)^1 }^27 
Initial Blocks, in the group representation, last block PC(3):
1000 () c b 
() b a abbc 
() b ac abb 
() c a ac 

Design No 2(for Input Group of Order 12 and Index 5) Group Size 12 2C15BD8C 1EDAA7B7
Block Intersection Formula 
{(0)^5 (1)^23 (2)^9 (3)^1 (4)^1 }^36 
{(0)^6 (1)^20 (2)^12 (4)^1 }^3 
Initial Blocks, in the group representation, last block PC(3):
1000 () c b 
() b a abbc 
() b ab abbc 
() c a ac 

Design No 3(for Input Group of Order 12 and Index 5) Group Size 24 AD6999EF 4A761AA1
Group generators (treatments are numbered () c b bc bb bbc a ac ab abc abb abbc )
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[6,7],[8,9],[10,11],[19,20],[21,22],[23,24],[25,37],[26,38],[27,39],[28,40],[29,41],[30,42],[31,44],[32,43],[33,46],[34,45],[35,48],[36,47]],
[[0,1],[2,3],[4,5],[13,14],[15,16],[17,18],[25,38],[26,37],[27,40],[28,39],[29,42],[30,41],[31,43],[32,44],[33,45],[34,46],[35,47],[36,48]],
[[0,2,4],[1,3,5],[6,8,10],[7,9,11],[13,15,17],[14,16,18],[19,21,23],[20,22,24],[25,27,29],[26,28,30],[31,33,35],[32,34,36],[37,39,41],[38,40,42],[43,45,47],[44,46,48],[49,50,51]],
[[0,6],[1,7],[2,8],[3,9],[4,10],[5,11],[13,19],[14,20],[15,21],[16,22],[17,23],[18,24],[25,43],[26,44],[27,45],[28,46],[29,47],[30,48],[31,37],[32,38],[33,39],[34,40],[35,41],[36,42]]
Block Intersection Formula 
{(0)^5 (1)^23 (2)^9 (3)^1 (4)^1 }^12 
{(0)^6 (1)^20 (2)^12 (4)^1 }^27 
Initial Blocks, in the group representation, last block PC(3):
1000 () c b 
() b ab abbc 
() b abc abb 
() c a ac