Design No 1(for Input Group of Order 12 and Index 3) Group Size 144 8DCD50CD EFAE8B08 Group generators (treatments are numbered (1) c cc b bc bcc a ac acc ab abc abcc ) Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[6,9],[7,10],[8,11],[19,22],[20,23],[21,24],[25,28],[26,29],[27,30],[37,49],[38,50],[39,51],[40,52],[41,53],[42,54],[43,58],[44,59],[45,60],[46,55],[47,56],[48,57],[63,64]], [[3,6],[4,7],[5,8],[16,20],[17,21],[18,19],[28,31],[29,32],[30,33],[37,54],[38,52],[39,53],[40,43],[41,44],[42,45],[46,56],[47,57],[48,55],[49,60],[50,58],[51,59],[62,63]], [[1,2],[4,5],[7,8],[10,11],[13,15],[16,18],[19,20],[22,23],[26,27],[29,30],[32,33],[35,36],[37,54],[38,53],[39,52],[40,51],[41,50],[42,49],[43,59],[44,58],[45,60],[46,56],[47,55],[48,57]], [[0,1],[3,4],[6,7],[9,10],[14,15],[17,18],[19,21],[22,24],[25,26],[28,29],[31,32],[34,35],[37,52],[38,54],[39,53],[40,49],[41,51],[42,50],[43,60],[44,59],[45,58],[46,57],[47,56],[48,55]], [[0,3],[1,4],[2,5],[13,16],[14,17],[15,18],[31,34],[32,35],[33,36],[37,52],[38,53],[39,54],[40,49],[41,50],[42,51],[43,55],[44,56],[45,57],[46,58],[47,59],[48,60],[61,62]] Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, in the group representation, last block PC(4): 1000 (1) c (1) b a (1) bc acc (1) bc abcc (1) c cc