2-factorizations of K9 This list of 26 types of 2-factorizations of K9 is exhaustive, and for each type the enumeration of 2-factorizations of that type is complete. There are 626 non-isomorphic 2-factorizations of K9 in total. The type of a 2-factorization consists of 4 numbers, where each number represents a type of one 2-factor within the 2-factorization. E.g. type 333 54 63 9 means that the first 2-factor is of type 333, the second is of type 54, the third is of type 63, and the fourth is of type 9. The type of a 2-factor is a number that represents sizes of its cycles, e.g. 333 represents a 2-factor consisting of three cycles of size 3 (as in (0,1,2) (3,4,5) (6,7,8)) -------------------------------------------------- TYPE = 333 333 333 333 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (0,3,6) (1,4,7) (2,5,8) (0,4,8) (1,5,6) (2,3,7) (0,5,7) (1,3,8) (2,4,6) TYPE = 333 333 63 63 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (0,3,6) (1,4,7) (2,5,8) (0,5,1,8,3,7) (2,4,6) (1,3,2,7,5,6) (0,4,8) TYPE = 333 333 9 9 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (0,3,6) (1,4,7) (2,5,8) (0,4,2,3,7,5,6,1,8) (0,5,1,3,8,4,6,2,7) 2-factorization no. 1 (0,1,2) (3,4,5) (6,7,8) (0,3,6) (1,4,7) (2,5,8) (0,4,2,3,8,1,6,5,7) (0,5,1,3,7,2,6,4,8) TYPE = 333 54 54 54 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (2,3,8,4,6) (0,5,1,7) (2,4,7,5,8) (0,3,1,6) (2,5,6,3,7) (0,4,1,8) TYPE = 333 54 54 63 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (1,3,7,5,6) (0,4,2,8) (2,3,8,4,6) (0,5,1,7) (1,4,7,2,5,8) (0,3,6) TYPE = 333 54 54 9 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (1,7,2,3,8) (0,4,6,5) (2,4,7,5,8) (0,3,1,6) (0,7,3,6,2,5,1,4,8) TYPE = 333 54 63 9 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (0,4,7,3,8) (1,5,2,6) (1,4,2,7,5,8) (0,3,6) (0,5,6,4,8,2,3,1,7) 2-factorization no. 1 (0,1,2) (3,4,5) (6,7,8) (0,5,1,3,7) (2,6,4,8) (1,4,2,7,5,8) (0,3,6) (0,4,7,1,6,5,2,3,8) TYPE = 333 54 9 9 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (2,4,7,5,8) (0,3,1,6) (0,4,1,5,6,2,7,3,8) (0,5,2,3,6,4,8,1,7) 2-factorization no. 1 (0,1,2) (3,4,5) (6,7,8) (2,4,7,5,8) (0,3,1,6) (0,4,1,7,2,5,6,3,8) (0,5,1,8,4,6,2,3,7) 2-factorization no. 2 (0,1,2) (3,4,5) (6,7,8) (2,4,7,5,8) (0,3,1,6) (0,4,6,2,5,1,8,3,7) (0,5,6,3,2,7,1,4,8) 2-factorization no. 3 (0,1,2) (3,4,5) (6,7,8) (2,4,7,5,8) (0,3,1,6) (0,4,6,3,8,1,5,2,7) (0,5,6,2,3,7,1,4,8) 2-factorization no. 4 (0,1,2) (3,4,5) (6,7,8) (2,4,7,5,8) (0,3,1,6) (0,4,6,3,8,1,7,2,5) (0,7,3,2,6,5,1,4,8) TYPE = 333 63 63 63 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (1,3,8,2,4,6) (0,5,7) (1,4,7,2,5,8) (0,3,6) (1,5,6,2,3,7) (0,4,8) 2-factorization no. 1 (0,1,2) (3,4,5) (6,7,8) (0,4,6,2,3,8) (1,5,7) (0,5,6,1,3,7) (2,4,8) (1,4,7,2,5,8) (0,3,6) TYPE = 333 63 63 9 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (1,3,8,2,5,6) (0,4,7) (1,4,2,7,5,8) (0,3,6) (0,5,1,7,3,2,6,4,8) 2-factorization no. 1 (0,1,2) (3,4,5) (6,7,8) (1,3,8,2,6,5) (0,4,7) (1,4,2,7,5,8) (0,3,6) (0,5,2,3,7,1,6,4,8) TYPE = 333 63 9 9 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (1,4,2,7,5,8) (0,3,6) (0,4,6,1,5,2,8,3,7) (0,5,6,2,3,1,7,4,8) 2-factorization no. 1 (0,1,2) (3,4,5) (6,7,8) (1,4,2,7,5,8) (0,3,6) (0,4,6,5,1,7,3,2,8) (0,5,2,6,1,3,8,4,7) 2-factorization no. 2 (0,1,2) (3,4,5) (6,7,8) (1,4,2,7,5,8) (0,3,6) (0,4,7,1,5,6,2,3,8) (0,5,2,8,4,6,1,3,7) 2-factorization no. 3 (0,1,2) (3,4,5) (6,7,8) (1,4,2,7,5,8) (0,3,6) (0,4,7,3,1,5,6,2,8) (0,5,2,3,8,4,6,1,7) 2-factorization no. 4 (0,1,2) (3,4,5) (6,7,8) (1,4,2,7,5,8) (0,3,6) (0,4,7,3,8,2,6,1,5) (0,7,1,3,2,5,6,4,8) 2-factorization no. 5 (0,1,2) (3,4,5) (6,7,8) (1,4,7,2,5,8) (0,3,6) (0,4,2,6,1,5,7,3,8) (0,5,6,4,8,2,3,1,7) 2-factorization no. 6 (0,1,2) (3,4,5) (6,7,8) (1,4,7,2,5,8) (0,3,6) (0,4,2,6,5,7,1,3,8) (0,5,1,6,4,8,2,3,7) TYPE = 333 9 9 9 2-factorization no. 0 (0,1,2) (3,4,5) (6,7,8) (0,3,1,4,6,2,7,5,8) (0,4,2,5,6,1,8,3,7) (0,5,1,7,4,8,2,3,6) 2-factorization no. 1 (0,1,2) (3,4,5) (6,7,8) (0,3,1,4,6,2,7,5,8) (0,4,2,8,1,5,6,3,7) (0,5,2,3,8,4,7,1,6) 2-factorization no. 2 (0,1,2) (3,4,5) (6,7,8) (0,3,1,4,6,2,7,5,8) (0,4,2,8,1,7,3,6,5) (0,6,1,5,2,3,8,4,7) 2-factorization no. 3 (0,1,2) (3,4,5) (6,7,8) (0,3,1,4,6,2,7,5,8) (0,4,2,8,3,7,1,6,5) (0,6,3,2,5,1,8,4,7) 2-factorization no. 4 (0,1,2) (3,4,5) (6,7,8) (0,3,1,4,6,2,7,5,8) (0,4,7,1,5,2,8,3,6) (0,5,6,1,8,4,2,3,7) 2-factorization no. 5 (0,1,2) (3,4,5) (6,7,8) (0,3,1,4,6,2,7,5,8) (0,4,7,3,2,8,1,5,6) (0,5,2,4,8,3,6,1,7) 2-factorization no. 6 (0,1,2) (3,4,5) (6,7,8) (0,3,1,4,6,2,7,5,8) (0,4,7,3,8,2,5,1,6) (0,5,6,3,2,4,8,1,7) 2-factorization no. 7 (0,1,2) (3,4,5) (6,7,8) (0,3,1,4,6,2,7,5,8) (0,4,8,1,7,3,2,5,6) (0,5,1,6,3,8,2,4,7) 2-factorization no. 8 (0,1,2) (3,4,5) (6,7,8) (0,3,1,6,4,2,7,5,8) (0,4,8,2,3,7,1,5,6) (0,5,2,6,3,8,1,4,7) 2-factorization no. 9 (0,1,2) (3,4,5) (6,7,8) (0,3,6,1,4,7,2,5,8) (0,4,8,1,5,6,2,3,7) (0,5,7,1,3,8,2,4,6) TYPE = 54 54 54 63 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (1,6,2,4,7) (0,5,3,8) (0,3,7,2,8,6) (1,4,5) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (1,4,5,3,7) (0,6,2,8) (0,3,8,6,1,5) (2,4,7) 2-factorization no. 2 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (0,3,7,1,5) (2,6,4,8) (1,3,5,2,7,4) (0,6,8) 2-factorization no. 3 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (1,3,5,2,7) (0,6,4,8) (0,3,7,4,1,5) (2,6,8) 2-factorization no. 4 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,7) (1,6,4,8) (1,5,4,2,7) (0,6,3,8) (0,3,1,4,7,5) (2,6,8) TYPE = 54 54 54 9 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (2,5,7,4,6) (0,3,1,8) (0,6,3,5,1,4,8,2,7) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (1,4,6,2,8) (0,3,5,7) (1,6,8,3,7) (0,2,4,5) (0,6,3,1,5,2,7,4,8) 2-factorization no. 2 (0,1,2,3,4) (5,6,7,8) (0,3,1,5,7) (2,6,4,8) (1,6,8,3,7) (0,2,4,5) (0,6,3,5,2,7,4,1,8) 2-factorization no. 3 (0,1,2,3,4) (5,6,7,8) (0,3,5,1,8) (2,6,4,7) (1,6,8,3,7) (0,2,4,5) (0,6,3,1,4,8,2,5,7) 2-factorization no. 4 (0,1,2,3,4) (5,6,7,8) (0,3,8,2,6) (1,5,4,7) (1,3,6,4,8) (0,2,5,7) (0,5,3,7,2,4,1,6,8) 2-factorization no. 5 (0,1,2,3,4) (5,6,7,8) (0,5,4,1,6) (2,7,3,8) (1,3,6,4,8) (0,2,5,7) (0,3,5,1,7,4,2,6,8) 2-factorization no. 6 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (2,4,7,3,8) (0,5,1,6) (0,3,5,4,1,7,2,6,8) 2-factorization no. 7 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (1,4,7,3,5) (0,6,2,8) (0,3,8,6,1,7,2,4,5) 2-factorization no. 8 (0,1,2,3,4) (5,6,7,8) (0,3,8,2,6) (1,5,4,7) (1,3,6,8,4) (0,2,5,7) (0,5,3,7,2,4,6,1,8) 2-factorization no. 9 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,7) (1,6,4,8) (0,3,6,2,8) (1,5,4,7) (0,5,7,2,4,1,3,8,6) TYPE = 54 54 63 63 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (0,7,2,6,4,8) (1,3,5) (1,4,7,5,2,8) (0,3,6) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (0,3,6,4,1,8) (2,5,7) (0,6,2,8,4,7) (1,3,5) 2-factorization no. 2 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,6,2,7,3,8) (1,4,5) (1,6,8,2,4,7) (0,3,5) 2-factorization no. 3 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,7,1,4,5) (2,6,8) (0,6,1,5,3,8) (2,4,7) TYPE = 54 54 63 9 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (1,4,8,2,7,5) (0,3,6) (0,7,4,6,2,5,3,1,8) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (0,3,1,8,4,6) (2,5,7) (0,7,4,1,5,3,6,2,8) 2-factorization no. 2 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (0,6,4,8,2,7) (1,3,5) (0,3,6,2,5,7,4,1,8) 2-factorization no. 3 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (1,4,7,2,8,6) (0,3,5) (0,6,2,4,5,1,7,3,8) 2-factorization no. 4 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (1,5,4,7,2,6) (0,3,8) (0,5,3,7,1,4,2,8,6) 2-factorization no. 5 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,5,1,6,8) (2,4,7) (0,5,4,1,7,3,8,2,6) 2-factorization no. 6 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,7,2,6,8) (1,4,5) (0,5,3,8,2,4,7,1,6) 2-factorization no. 7 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,7,4,1,5) (2,6,8) (0,6,1,7,2,4,5,3,8) 2-factorization no. 8 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,5,3,8,2,6) (1,4,7) (0,3,7,2,4,5,1,6,8) 2-factorization no. 9 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (1,4,2,7,3,5) (0,6,8) (0,3,8,2,6,1,7,4,5) 2-factorization no. 10 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (1,6,4,7,2,8) (0,3,5) (0,6,2,4,5,1,7,3,8) 2-factorization no. 11 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (1,7,4,6,2,8) (0,3,5) (0,6,1,5,4,2,7,3,8) 2-factorization no. 12 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (1,5,4,6,2,7) (0,3,8) (0,5,3,7,4,2,8,1,6) 2-factorization no. 13 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (1,5,4,7,2,6) (0,3,8) (0,5,3,7,1,8,2,4,6) 2-factorization no. 14 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (1,4,6,8,2,7) (0,3,5) (0,6,2,5,1,3,7,4,8) 2-factorization no. 15 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (0,5,2,8,4,6) (1,3,7) (0,3,5,1,4,7,2,6,8) TYPE = 54 54 9 9 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (0,3,1,5,7,2,6,4,8) (0,6,3,5,2,8,1,4,7) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (0,3,1,5,7,4,8,2,6) (0,7,2,5,3,6,4,1,8) 2-factorization no. 2 (0,1,2,3,4) (5,6,7,8) (1,6,8,3,7) (0,2,4,5) (0,3,1,8,2,5,7,4,6) (0,7,2,6,3,5,1,4,8) 2-factorization no. 3 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,5,1,4,7,2,6,8) (0,5,4,2,8,3,7,1,6) 2-factorization no. 4 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,5,1,4,7,2,8,6) (0,5,4,2,6,1,7,3,8) 2-factorization no. 5 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,5,1,7,4,2,8,6) (0,5,4,1,6,2,7,3,8) 2-factorization no. 6 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,5,4,1,7,2,8,6) (0,5,1,6,2,4,7,3,8) 2-factorization no. 7 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,5,4,2,7,1,6,8) (0,5,1,4,7,3,8,2,6) 2-factorization no. 8 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,5,4,7,1,6,2,8) (0,5,1,4,2,7,3,8,6) 2-factorization no. 9 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,7,1,5,4,2,6,8) (0,5,3,8,2,7,4,1,6) 2-factorization no. 10 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,7,1,6,8,2,4,5) (0,6,2,7,4,1,5,3,8) 2-factorization no. 11 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,7,2,8,6,1,4,5) (0,6,2,4,7,1,5,3,8) 2-factorization no. 12 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,7,4,2,8,6,1,5) (0,6,2,7,1,4,5,3,8) 2-factorization no. 13 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,8,2,7,4,5,1,6) (0,5,3,7,1,4,2,6,8) 2-factorization no. 14 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,8,6,2,4,7,1,5) (0,6,1,4,5,3,7,2,8) 2-factorization no. 15 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,8,6,2,7,1,4,5) (0,6,1,5,3,7,4,2,8) 2-factorization no. 16 (0,1,2,3,4) (5,6,7,8) (1,3,6,4,8) (0,2,5,7) (0,3,8,6,2,7,4,1,5) (0,6,1,7,3,5,4,2,8) 2-factorization no. 17 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,5,1,7,4,6,2,8) (0,5,4,2,7,3,8,1,6) 2-factorization no. 18 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,5,1,8,2,7,4,6) (0,5,4,2,6,1,7,3,8) 2-factorization no. 19 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,5,4,6,1,7,2,8) (0,5,1,8,3,7,4,2,6) 2-factorization no. 20 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,5,4,7,1,6,2,8) (0,5,1,8,3,7,2,4,6) 2-factorization no. 21 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,5,4,7,1,8,2,6) (0,5,1,6,4,2,7,3,8) 2-factorization no. 22 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,5,4,7,2,6,1,8) (0,5,1,7,3,8,2,4,6) 2-factorization no. 23 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,7,4,5,1,6,2,8) (0,5,3,8,1,7,2,4,6) 2-factorization no. 24 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,7,4,6,2,8,1,5) (0,6,1,7,2,4,5,3,8) 2-factorization no. 25 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,8,1,5,4,7,2,6) (0,5,3,7,1,6,4,2,8) 2-factorization no. 26 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4) (0,2,5,7) (0,3,8,2,6,1,7,4,5) (0,6,4,2,7,3,5,1,8) 2-factorization no. 27 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (0,3,1,5,2,7,4,6,8) (0,5,3,7,1,4,8,2,6) 2-factorization no. 28 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (0,3,1,7,4,6,8,2,5) (0,6,2,7,3,5,1,4,8) 2-factorization no. 29 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (0,3,5,2,7,1,4,6,8) (0,5,1,3,7,4,8,2,6) 2-factorization no. 30 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (0,3,7,2,5,1,4,6,8) (0,5,3,1,7,4,8,2,6) 2-factorization no. 31 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7) (1,6,3,8) (0,3,7,2,6,8,4,1,5) (0,6,4,7,1,3,5,2,8) 2-factorization no. 32 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,7) (1,6,4,8) (0,3,1,4,5,7,2,6,8) (0,5,1,7,4,2,8,3,6) 2-factorization no. 33 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,7) (1,6,4,8) (0,3,1,5,4,7,2,6,8) (0,5,7,1,4,2,8,3,6) 2-factorization no. 34 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,7) (1,6,4,8) (0,3,1,5,7,4,2,6,8) (0,5,4,1,7,2,8,3,6) 2-factorization no. 35 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,7) (1,6,4,8) (0,3,1,7,5,4,2,6,8) (0,5,1,4,7,2,8,3,6) TYPE = 54 63 63 63 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (0,6,3,5,1,7) (2,4,8) (1,3,7,4,6,8) (0,2,5) (1,4,5,7,2,6) (0,3,8) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (1,3,5,7,2,4) (0,6,8) (1,5,4,6,2,8) (0,3,7) (1,6,3,8,4,7) (0,2,5) TYPE = 54 63 63 9 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (1,5,4,6,2,8) (0,3,7) (0,6,1,4,2,7,5,3,8) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (1,4,5,7,2,6) (0,3,8) (0,6,4,2,8,1,5,3,7) 2-factorization no. 2 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (1,4,6,2,7,5) (0,3,8) (0,6,1,8,2,4,5,3,7) 2-factorization no. 3 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (1,5,7,2,4,6) (0,3,8) (0,6,2,8,1,4,5,3,7) 2-factorization no. 4 (0,1,2,3,4) (5,6,7,8) (0,3,5,7,2,8) (1,4,6) (1,3,6,8,4,7) (0,2,5) (0,6,2,4,5,1,8,3,7) 2-factorization no. 5 (0,1,2,3,4) (5,6,7,8) (0,3,7,5,1,8) (2,4,6) (1,3,6,8,4,7) (0,2,5) (0,6,1,4,5,3,8,2,7) 2-factorization no. 6 (0,1,2,3,4) (5,6,7,8) (0,6,2,8,3,7) (1,4,5) (1,3,6,8,4,7) (0,2,5) (0,3,5,7,2,4,6,1,8) 2-factorization no. 7 (0,1,2,3,4) (5,6,7,8) (0,6,1,4,2,8) (3,5,7) (1,3,6,8,4,7) (0,2,5) (0,3,8,1,5,4,6,2,7) 2-factorization no. 8 (0,1,2,3,4) (5,6,7,8) (0,7,3,5,1,8) (2,4,6) (1,3,6,8,4,7) (0,2,5) (0,3,8,2,7,5,4,1,6) 2-factorization no. 9 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (1,6,2,4,5,7) (0,3,8) (0,6,3,5,1,4,8,2,7) 2-factorization no. 10 (0,1,2,3,4) (5,6,7,8) (0,3,6,2,4,8) (1,5,7) (1,3,7,4,6,8) (0,2,5) (0,6,1,4,5,3,8,2,7) 2-factorization no. 11 (0,1,2,3,4) (5,6,7,8) (0,6,3,8,2,7) (1,4,5) (1,3,7,4,6,8) (0,2,5) (0,3,5,7,1,6,2,4,8) 2-factorization no. 12 (0,1,2,3,4) (5,6,7,8) (1,5,4,6,2,7) (0,3,8) (1,6,3,7,4,8) (0,2,5) (0,6,8,2,4,1,3,5,7) 2-factorization no. 13 (0,1,2,3,4) (5,6,7,8) (0,3,1,4,5,7) (2,6,8) (1,6,3,7,4,8) (0,2,5) (0,6,4,2,7,1,5,3,8) 2-factorization no. 14 (0,1,2,3,4) (5,6,7,8) (0,3,5,4,1,7) (2,6,8) (1,6,3,7,4,8) (0,2,5) (0,6,4,2,7,5,1,3,8) 2-factorization no. 15 (0,1,2,3,4) (5,6,7,8) (0,3,1,4,5,7) (2,6,8) (1,6,3,8,4,7) (0,2,5) (0,6,4,2,7,3,5,1,8) 2-factorization no. 16 (0,1,2,3,4) (5,6,7,8) (0,6,2,4,1,8) (3,5,7) (1,6,3,8,4,7) (0,2,5) (0,3,1,5,4,6,8,2,7) 2-factorization no. 17 (0,1,2,3,4) (5,6,7,8) (1,4,2,7,3,5) (0,6,8) (1,6,3,8,4,7) (0,2,5) (0,3,1,8,2,6,4,5,7) 2-factorization no. 18 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,1,6,4,8) (2,5,7) (0,5,3,7,4,1,8,2,6) TYPE = 54 63 9 9 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,5,4,6,1,8,2,7) (0,6,2,4,1,5,7,3,8) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,5,7,2,6,4,1,8) (0,6,1,5,4,2,8,3,7) 2-factorization no. 2 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,7,2,6,4,5,1,8) (0,6,1,4,2,8,3,5,7) 2-factorization no. 3 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,7,5,1,4,6,2,8) (0,6,1,8,3,5,4,2,7) 2-factorization no. 4 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,7,5,1,8,2,4,6) (0,7,2,6,1,4,5,3,8) 2-factorization no. 5 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,7,5,4,1,8,2,6) (0,7,2,4,6,1,5,3,8) 2-factorization no. 6 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,7,5,4,2,6,1,8) (0,6,4,1,5,3,8,2,7) 2-factorization no. 7 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,7,5,4,2,8,1,6) (0,7,2,6,4,1,5,3,8) 2-factorization no. 8 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,8,1,4,5,7,2,6) (0,7,3,5,1,6,4,2,8) 2-factorization no. 9 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,8,1,5,7,2,4,6) (0,7,3,5,4,1,6,2,8) 2-factorization no. 10 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,8,1,6,2,4,5,7) (0,6,4,1,5,3,7,2,8) 2-factorization no. 11 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,8,2,4,6,1,5,7) (0,6,2,7,3,5,4,1,8) 2-factorization no. 12 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,8,2,6,1,4,5,7) (0,6,4,2,7,3,5,1,8) 2-factorization no. 13 (0,1,2,3,4) (5,6,7,8) (1,3,6,8,4,7) (0,2,5) (0,3,8,2,7,5,1,4,6) (0,7,3,5,4,2,6,1,8) 2-factorization no. 14 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,5,4,8,2,7,1,6) (0,7,5,1,4,2,6,3,8) 2-factorization no. 15 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,5,7,1,4,8,2,6) (0,7,2,4,5,1,6,3,8) 2-factorization no. 16 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,5,7,2,6,1,4,8) (0,6,3,8,2,4,5,1,7) 2-factorization no. 17 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,5,7,2,8,4,1,6) (0,7,1,5,4,2,6,3,8) 2-factorization no. 18 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,6,1,4,5,7,2,8) (0,6,2,4,8,3,5,1,7) 2-factorization no. 19 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,6,1,5,4,8,2,7) (0,6,2,4,1,7,5,3,8) 2-factorization no. 20 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,6,1,5,7,2,4,8) (0,6,2,8,3,5,4,1,7) 2-factorization no. 21 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,6,2,7,1,5,4,8) (0,6,1,4,2,8,3,5,7) 2-factorization no. 22 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,6,2,8,4,1,5,7) (0,6,1,7,2,4,5,3,8) 2-factorization no. 23 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,6,2,8,4,5,1,7) (0,6,1,4,2,7,5,3,8) 2-factorization no. 24 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,8,2,4,5,7,1,6) (0,7,2,6,3,5,1,4,8) 2-factorization no. 25 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,8,2,6,1,4,5,7) (0,6,3,5,1,7,2,4,8) 2-factorization no. 26 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,8,2,7,5,4,1,6) (0,7,1,5,3,6,2,4,8) 2-factorization no. 27 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,8,4,1,5,7,2,6) (0,7,1,6,3,5,4,2,8) 2-factorization no. 28 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,8,4,2,6,1,5,7) (0,6,3,5,4,1,7,2,8) 2-factorization no. 29 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,8,4,2,7,5,1,6) (0,7,1,4,5,3,6,2,8) 2-factorization no. 30 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,8,4,5,1,6,2,7) (0,6,3,5,7,1,4,2,8) 2-factorization no. 31 (0,1,2,3,4) (5,6,7,8) (1,3,7,4,6,8) (0,2,5) (0,3,8,4,5,1,7,2,6) (0,7,5,3,6,1,4,2,8) 2-factorization no. 32 (0,1,2,3,4) (5,6,7,8) (1,6,3,7,4,8) (0,2,5) (0,3,1,4,5,7,2,6,8) (0,6,4,2,8,3,5,1,7) 2-factorization no. 33 (0,1,2,3,4) (5,6,7,8) (1,6,3,7,4,8) (0,2,5) (0,3,1,5,4,6,8,2,7) (0,6,2,4,1,7,5,3,8) 2-factorization no. 34 (0,1,2,3,4) (5,6,7,8) (1,6,3,7,4,8) (0,2,5) (0,3,1,5,7,2,4,6,8) (0,6,2,8,3,5,4,1,7) 2-factorization no. 35 (0,1,2,3,4) (5,6,7,8) (1,6,3,7,4,8) (0,2,5) (0,3,1,7,5,4,2,6,8) (0,6,4,1,5,3,8,2,7) 2-factorization no. 36 (0,1,2,3,4) (5,6,7,8) (1,6,3,7,4,8) (0,2,5) (0,3,1,7,5,4,2,8,6) (0,7,2,6,4,1,5,3,8) 2-factorization no. 37 (0,1,2,3,4) (5,6,7,8) (1,6,3,7,4,8) (0,2,5) (0,3,5,1,4,6,8,2,7) (0,6,2,4,5,7,1,3,8) 2-factorization no. 38 (0,1,2,3,4) (5,6,7,8) (1,6,3,7,4,8) (0,2,5) (0,3,5,1,7,2,4,6,8) (0,6,2,8,3,1,4,5,7) 2-factorization no. 39 (0,1,2,3,4) (5,6,7,8) (1,6,3,7,4,8) (0,2,5) (0,3,5,4,1,7,2,6,8) (0,6,4,2,8,3,1,5,7) 2-factorization no. 40 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,1,4,5,7,2,6,8) (0,6,4,2,8,1,5,3,7) 2-factorization no. 41 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,1,5,7,2,4,6,8) (0,6,2,8,1,4,5,3,7) 2-factorization no. 42 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,1,8,2,7,5,4,6) (0,7,3,5,1,4,2,6,8) 2-factorization no. 43 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,1,8,6,2,4,5,7) (0,6,4,1,5,3,7,2,8) 2-factorization no. 44 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,5,1,4,6,8,2,7) (0,6,2,4,5,7,3,1,8) 2-factorization no. 45 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,5,7,2,4,1,8,6) (0,7,3,1,5,4,6,2,8) 2-factorization no. 46 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,5,7,2,6,4,1,8) (0,6,8,2,4,5,1,3,7) 2-factorization no. 47 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,5,7,2,8,1,4,6) (0,7,3,1,5,4,2,6,8) 2-factorization no. 48 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,7,2,4,5,1,8,6) (0,7,5,3,1,4,6,2,8) 2-factorization no. 49 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,7,2,6,4,5,1,8) (0,6,8,2,4,1,3,5,7) 2-factorization no. 50 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,7,2,8,1,5,4,6) (0,7,5,3,1,4,2,6,8) 2-factorization no. 51 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,7,5,1,4,2,6,8) (0,6,4,5,3,1,8,2,7) 2-factorization no. 52 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,7,5,1,4,2,8,6) (0,7,2,6,4,5,3,1,8) 2-factorization no. 53 (0,1,2,3,4) (5,6,7,8) (1,6,3,8,4,7) (0,2,5) (0,3,7,5,1,4,6,2,8) (0,6,8,1,3,5,4,2,7) 2-factorization no. 54 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7) (3,6,8) (0,3,5,2,6,4,7,1,8) (0,5,4,8,2,7,3,1,6) 2-factorization no. 55 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7) (3,6,8) (0,3,5,2,7,1,6,4,8) (0,5,4,7,3,1,8,2,6) 2-factorization no. 56 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7) (3,6,8) (0,3,5,4,7,1,6,2,8) (0,5,2,7,3,1,8,4,6) 2-factorization no. 57 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7) (3,6,8) (0,3,7,1,6,2,5,4,8) (0,5,3,1,8,2,7,4,6) 2-factorization no. 58 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7) (3,6,8) (0,3,7,1,6,2,8,4,5) (0,6,4,7,2,5,3,1,8) 2-factorization no. 59 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7) (3,6,8) (0,3,7,1,6,4,5,2,8) (0,5,3,1,8,4,7,2,6) 2-factorization no. 60 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7) (3,6,8) (0,3,7,1,6,4,8,2,5) (0,6,2,7,4,5,3,1,8) 2-factorization no. 61 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7) (3,6,8) (0,3,7,2,6,1,8,4,5) (0,6,4,7,1,3,5,2,8) 2-factorization no. 62 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,1,6,2,5,7,4,8) (0,5,3,7,2,8,1,4,6) 2-factorization no. 63 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,1,6,4,8,2,7,5) (0,6,2,5,3,7,4,1,8) 2-factorization no. 64 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,5,2,7,4,6,1,8) (0,5,7,3,1,4,8,2,6) 2-factorization no. 65 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,5,7,2,6,1,4,8) (0,5,2,8,1,3,7,4,6) 2-factorization no. 66 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,5,7,2,6,4,1,8) (0,5,2,8,4,7,3,1,6) 2-factorization no. 67 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,5,7,4,1,6,2,8) (0,5,2,7,3,1,8,4,6) 2-factorization no. 68 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,7,4,6,1,8,2,5) (0,6,2,7,5,3,1,4,8) 2-factorization no. 69 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7) (3,6,8) (0,3,7,5,2,6,1,4,8) (0,5,3,1,8,2,7,4,6) 2-factorization no. 70 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,7) (4,6,8) (0,3,5,4,7,1,6,2,8) (0,5,7,2,4,1,8,3,6) 2-factorization no. 71 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,7) (4,6,8) (0,3,5,4,7,2,6,1,8) (0,5,7,1,4,2,8,3,6) 2-factorization no. 72 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,7) (4,6,8) (0,3,5,7,4,1,6,2,8) (0,5,4,2,7,1,8,3,6) 2-factorization no. 73 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,7) (4,6,8) (0,3,5,7,4,2,6,1,8) (0,5,4,1,7,2,8,3,6) 2-factorization no. 74 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,7) (4,6,8) (0,3,6,1,4,5,7,2,8) (0,5,3,8,1,7,4,2,6) 2-factorization no. 75 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,7) (4,6,8) (0,3,6,2,4,5,7,1,8) (0,5,3,8,2,7,4,1,6) 2-factorization no. 76 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7) (3,6,8) (0,3,1,6,2,7,5,4,8) (0,5,3,7,1,8,2,4,6) 2-factorization no. 77 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7) (3,6,8) (0,3,1,6,4,5,7,2,8) (0,5,3,7,1,8,4,2,6) 2-factorization no. 78 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7) (3,6,8) (0,3,1,6,4,8,2,7,5) (0,6,2,4,5,3,7,1,8) 2-factorization no. 79 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7) (3,6,8) (0,3,5,4,6,1,7,2,8) (0,5,7,3,1,8,4,2,6) 2-factorization no. 80 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7) (3,6,8) (0,3,7,1,6,2,8,4,5) (0,6,4,2,7,5,3,1,8) TYPE = 54 9 9 9 2-factorization no. 0 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,5,2,6,4,8,1,7) (0,5,4,7,2,8,3,1,6) 2-factorization no. 1 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,5,2,7,4,8,1,6) (0,5,4,6,2,8,3,1,7) 2-factorization no. 2 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,5,2,8,1,6,4,7) (0,5,4,8,3,1,7,2,6) 2-factorization no. 3 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,5,4,8,1,6,2,7) (0,5,2,8,3,1,7,4,6) 2-factorization no. 4 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,8,1,6,2,5,4,7) (0,5,3,1,7,2,8,4,6) 2-factorization no. 5 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,8,1,6,2,7,4,5) (0,6,4,8,2,5,3,1,7) 2-factorization no. 6 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,8,1,6,4,5,2,7) (0,5,3,1,7,4,8,2,6) 2-factorization no. 7 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,8,1,6,4,7,2,5) (0,6,2,8,4,5,3,1,7) 2-factorization no. 8 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,8,1,7,2,6,4,5) (0,6,1,3,5,2,8,4,7) 2-factorization no. 9 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,8,1,7,4,6,2,5) (0,6,1,3,5,4,8,2,7) 2-factorization no. 10 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,8,2,6,1,7,4,5) (0,6,4,8,1,3,5,2,7) 2-factorization no. 11 (0,1,2,3,4) (5,6,7,8) (0,2,4,1,5,7,3,6,8) (0,3,8,2,7,1,6,4,5) (0,6,2,5,3,1,8,4,7) 2-factorization no. 12 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,1,7,5,2,8,4,6) (0,5,3,6,2,7,4,1,8) 2-factorization no. 13 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,1,8,2,5,7,4,6) (0,5,3,6,2,7,1,4,8) 2-factorization no. 14 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,1,8,2,6,4,7,5) (0,6,3,5,2,7,1,4,8) 2-factorization no. 15 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,1,8,4,7,5,2,6) (0,5,3,6,4,1,7,2,8) 2-factorization no. 16 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,5,7,1,4,6,2,8) (0,5,2,7,4,8,1,3,6) 2-factorization no. 17 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,5,7,1,4,8,2,6) (0,5,2,7,4,6,3,1,8) 2-factorization no. 18 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,5,7,2,6,4,1,8) (0,5,2,8,4,7,1,3,6) 2-factorization no. 19 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,5,7,2,8,1,4,6) (0,5,2,6,3,1,7,4,8) 2-factorization no. 20 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,5,7,4,1,8,2,6) (0,5,2,7,1,3,6,4,8) 2-factorization no. 21 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,6,8,3,7) (0,3,6,2,5,7,4,1,8) (0,5,3,1,7,2,8,4,6) 2-factorization no. 22 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,1,6,2,8,4,7,5) (0,6,4,1,8,3,5,2,7) 2-factorization no. 23 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,1,6,4,8,2,5,7) (0,5,3,8,1,4,7,2,6) 2-factorization no. 24 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,1,6,4,8,2,7,5) (0,6,2,5,3,8,1,4,7) 2-factorization no. 25 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,1,8,2,5,7,4,6) (0,5,3,8,4,1,6,2,7) 2-factorization no. 26 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,1,8,2,6,4,7,5) (0,6,1,4,8,3,5,2,7) 2-factorization no. 27 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,5,2,6,1,8,4,7) (0,5,7,2,8,3,1,4,6) 2-factorization no. 28 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,5,7,2,8,1,4,6) (0,5,2,6,1,3,8,4,7) 2-factorization no. 29 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,8,1,4,6,2,7,5) (0,6,1,3,5,2,8,4,7) 2-factorization no. 30 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,8,1,4,7,5,2,6) (0,5,3,1,6,4,8,2,7) 2-factorization no. 31 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,8,1,6,4,7,2,5) (0,6,2,8,4,1,3,5,7) 2-factorization no. 32 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,8,2,5,7,4,1,6) (0,5,3,1,8,4,6,2,7) 2-factorization no. 33 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,8,2,6,1,4,7,5) (0,6,4,8,1,3,5,2,7) 2-factorization no. 34 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,1,7,3,6,8) (0,3,8,4,1,6,2,5,7) (0,5,3,1,8,2,7,4,6) 2-factorization no. 35 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,6,8,1,7) (0,3,1,5,7,2,6,4,8) (0,5,2,8,3,7,4,1,6) 2-factorization no. 36 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,6,8,1,7) (0,3,1,5,7,2,8,4,6) (0,5,2,6,1,4,7,3,8) 2-factorization no. 37 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,6,8,1,7) (0,3,1,6,2,8,4,7,5) (0,6,4,1,5,2,7,3,8) 2-factorization no. 38 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,6,8,1,7) (0,3,7,5,1,4,6,2,8) (0,5,2,7,4,8,3,1,6) 2-factorization no. 39 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,6,8,1,7) (0,3,7,5,1,4,8,2,6) (0,5,2,7,4,6,1,3,8) 2-factorization no. 40 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,6,8,1,7) (0,3,7,5,2,6,1,4,8) (0,5,1,3,8,2,7,4,6) 2-factorization no. 41 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,6,8,1,7) (0,3,8,2,5,7,4,1,6) (0,5,1,3,7,2,6,4,8) 2-factorization no. 42 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,1,5,7,2,8,4,6) (0,5,2,6,3,8,1,4,7) 2-factorization no. 43 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,1,8,2,6,4,7,5) (0,6,3,8,4,1,5,2,7) 2-factorization no. 44 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,6,2,8,1,4,7,5) (0,6,4,8,3,1,5,2,7) 2-factorization no. 45 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,6,4,1,8,2,5,7) (0,5,1,3,8,4,7,2,6) 2-factorization no. 46 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,6,4,1,8,2,7,5) (0,6,2,5,1,3,8,4,7) 2-factorization no. 47 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,8,1,4,6,2,7,5) (0,6,3,1,5,2,8,4,7) 2-factorization no. 48 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,8,1,4,7,5,2,6) (0,5,1,3,6,4,8,2,7) 2-factorization no. 49 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,8,2,6,4,1,5,7) (0,5,2,7,4,8,1,3,6) 2-factorization no. 50 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,8,2,7,5,1,4,6) (0,5,2,6,3,1,8,4,7) 2-factorization no. 51 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,3,7,1,6,8) (0,3,8,4,1,5,7,2,6) (0,5,2,8,1,3,6,4,7) 2-factorization no. 52 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,5,1,6,2,8,4,7) (0,5,2,7,3,8,1,4,6) 2-factorization no. 53 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,5,1,8,2,6,4,7) (0,5,2,7,3,8,4,1,6) 2-factorization no. 54 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,5,1,8,2,7,4,6) (0,5,2,6,1,4,8,3,7) 2-factorization no. 55 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,5,1,8,4,6,2,7) (0,5,2,8,3,7,4,1,6) 2-factorization no. 56 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,5,2,7,4,8,1,6) (0,5,1,4,6,2,8,3,7) 2-factorization no. 57 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,5,2,8,1,6,4,7) (0,5,1,4,8,3,7,2,6) 2-factorization no. 58 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,7,2,5,1,8,4,6) (0,5,3,8,2,6,1,4,7) 2-factorization no. 59 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,7,4,6,2,8,1,5) (0,6,1,4,8,3,5,2,7) 2-factorization no. 60 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,7,4,8,1,6,2,5) (0,6,4,1,5,3,8,2,7) 2-factorization no. 61 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,1,3,6,8) (0,3,8,1,6,4,7,2,5) (0,6,2,8,4,1,5,3,7) 2-factorization no. 62 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,5,1,7,2,8,4,6) (0,5,2,6,3,8,1,4,7) 2-factorization no. 63 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,5,1,8,2,6,4,7) (0,5,2,7,1,4,8,3,6) 2-factorization no. 64 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,5,1,8,2,7,4,6) (0,5,2,6,3,8,4,1,7) 2-factorization no. 65 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,5,1,8,4,7,2,6) (0,5,2,8,3,6,4,1,7) 2-factorization no. 66 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,5,2,6,4,8,1,7) (0,5,1,4,7,2,8,3,6) 2-factorization no. 67 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,5,2,8,1,7,4,6) (0,5,1,4,8,3,6,2,7) 2-factorization no. 68 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,6,2,5,1,8,4,7) (0,5,3,8,2,7,1,4,6) 2-factorization no. 69 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,6,4,7,2,8,1,5) (0,6,2,5,3,8,4,1,7) 2-factorization no. 70 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,6,4,8,1,7,2,5) (0,6,2,8,3,5,1,4,7) 2-factorization no. 71 (0,1,2,3,4) (5,6,7,8) (0,2,4,5,7,3,1,6,8) (0,3,8,1,7,4,6,2,5) (0,6,3,5,1,4,8,2,7) 2-factorization no. 72 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,5,7,1,4,6,2,8) (0,5,4,2,7,3,8,1,6) 2-factorization no. 73 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,5,7,1,6,4,2,8) (0,5,4,1,8,3,7,2,6) 2-factorization no. 74 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,5,7,1,8,2,4,6) (0,5,4,1,6,2,7,3,8) 2-factorization no. 75 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,5,7,2,4,6,1,8) (0,5,4,1,7,3,8,2,6) 2-factorization no. 76 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,5,7,2,6,4,1,8) (0,5,4,2,8,3,7,1,6) 2-factorization no. 77 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,5,7,2,8,1,4,6) (0,5,4,2,6,1,7,3,8) 2-factorization no. 78 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,7,5,4,1,6,2,8) (0,5,3,8,1,7,2,4,6) 2-factorization no. 79 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,7,5,4,2,6,1,8) (0,5,3,8,2,7,1,4,6) 2-factorization no. 80 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,8,1,4,5,7,2,6) (0,5,3,7,1,6,4,2,8) 2-factorization no. 81 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,8,1,4,6,2,7,5) (0,6,1,7,3,5,4,2,8) 2-factorization no. 82 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,8,2,4,5,7,1,6) (0,5,3,7,2,6,4,1,8) 2-factorization no. 83 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,3,6,8,4,7) (0,3,8,2,4,6,1,7,5) (0,6,2,7,3,5,4,1,8) 2-factorization no. 84 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,5,4,7,1,6,2,8) (0,5,7,2,4,8,1,3,6) 2-factorization no. 85 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,5,7,1,6,2,4,8) (0,5,4,7,2,8,1,3,6) 2-factorization no. 86 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,5,7,2,4,8,1,6) (0,5,4,7,1,3,6,2,8) 2-factorization no. 87 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,5,7,4,2,6,1,8) (0,5,4,8,2,7,1,3,6) 2-factorization no. 88 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,6,1,7,2,8,4,5) (0,6,2,4,7,5,3,1,8) 2-factorization no. 89 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,6,1,7,5,4,2,8) (0,5,3,1,8,4,7,2,6) 2-factorization no. 90 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,6,1,8,2,4,7,5) (0,6,2,7,1,3,5,4,8) 2-factorization no. 91 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,6,2,4,8,1,7,5) (0,6,1,3,5,4,7,2,8) 2-factorization no. 92 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,6,2,7,1,8,4,5) (0,6,1,3,5,7,4,2,8) 2-factorization no. 93 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,6,8,3,7) (0,3,6,2,8,1,7,4,5) (0,6,1,3,5,7,2,4,8) 2-factorization no. 94 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7,3,6,8) (0,3,5,4,6,2,8,1,7) (0,5,7,2,4,8,3,1,6) 2-factorization no. 95 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7,3,6,8) (0,3,5,7,1,8,4,2,6) (0,5,4,6,1,3,8,2,7) 2-factorization no. 96 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7,3,6,8) (0,3,5,7,2,4,8,1,6) (0,5,4,6,2,8,3,1,7) 2-factorization no. 97 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7,3,6,8) (0,3,8,1,6,2,4,5,7) (0,5,3,1,7,2,8,4,6) 2-factorization no. 98 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7,3,6,8) (0,3,8,1,6,4,2,7,5) (0,6,2,8,4,5,3,1,7) 2-factorization no. 99 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7,3,6,8) (0,3,8,1,7,5,4,2,6) (0,5,3,1,6,4,8,2,7) 2-factorization no. 100 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7,3,6,8) (0,3,8,2,4,5,7,1,6) (0,5,3,1,8,4,6,2,7) 2-factorization no. 101 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,4,7,3,6,8) (0,3,8,2,7,1,6,4,5) (0,6,2,4,8,1,3,5,7) 2-factorization no. 102 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,7,3,6,4,8) (0,3,8,1,4,5,7,2,6) (0,5,3,1,6,8,2,4,7) 2-factorization no. 103 (0,1,2,3,4) (5,6,7,8) (0,2,5,1,7,4,6,3,8) (0,3,7,5,4,1,8,2,6) (0,5,3,1,6,8,4,2,7) 2-factorization no. 104 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,6,1,7,4,8) (0,3,7,5,4,1,8,2,6) (0,5,1,3,8,6,4,2,7) 2-factorization no. 105 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,6,1,7,4,8) (0,3,8,1,4,6,2,7,5) (0,6,8,2,4,5,1,3,7) 2-factorization no. 106 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,7,1,4,6,8) (0,3,8,1,6,2,4,7,5) (0,6,3,1,5,4,8,2,7) 2-factorization no. 107 (0,1,2,3,4) (5,6,7,8) (0,2,5,3,7,1,6,4,8) (0,3,6,2,8,1,4,7,5) (0,6,8,3,1,5,4,2,7) 2-factorization no. 108 (0,1,2,3,4) (5,6,7,8) (0,2,5,4,1,6,8,3,7) (0,3,5,1,7,4,6,2,8) (0,5,7,2,4,8,1,3,6) 2-factorization no. 109 (0,1,2,3,4) (5,6,7,8) (0,2,5,4,7,1,3,6,8) (0,3,7,5,1,4,8,2,6) (0,5,3,8,1,6,4,2,7) TYPE = 63 63 63 63 2-factorization no. 0 (0,1,2,3,4,5) (6,7,8) (0,6,2,8,4,7) (1,3,5) (1,4,6,5,2,7) (0,3,8) (1,6,3,7,5,8) (0,2,4) 2-factorization no. 1 (0,1,2,3,4,5) (6,7,8) (0,4,1,6,3,7) (2,5,8) (1,3,5,7,4,8) (0,2,6) (1,5,6,4,2,7) (0,3,8) 2-factorization no. 2 (0,1,2,3,4,5) (6,7,8) (0,3,6,4,1,7) (2,5,8) (0,4,2,7,3,8) (1,5,6) (1,3,5,7,4,8) (0,2,6) 2-factorization no. 3 (0,1,2,3,4,5) (6,7,8) (0,3,8,2,5,7) (1,4,6) (0,4,2,7,1,8) (3,5,6) (1,3,7,4,8,5) (0,2,6) 2-factorization no. 4 (0,1,2,3,4,5) (6,7,8) (0,2,6,3,5,7) (1,4,8) (0,4,7,3,1,6) (2,5,8) (1,5,6,4,2,7) (0,3,8) TYPE = 63 63 63 9 2-factorization no. 0 (0,1,2,3,4,5) (6,7,8) (1,4,7,2,6,5) (0,3,8) (1,6,3,7,5,8) (0,2,4) (0,6,4,8,2,5,3,1,7) 2-factorization no. 1 (0,1,2,3,4,5) (6,7,8) (0,6,2,7,4,8) (1,3,5) (1,6,3,7,5,8) (0,2,4) (0,3,8,2,5,6,4,1,7) 2-factorization no. 2 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (1,5,8,2,4,6) (0,3,7) (0,4,1,7,2,5,6,3,8) 2-factorization no. 3 (0,1,2,3,4,5) (6,7,8) (0,3,7,1,6,4) (2,5,8) (1,3,5,7,4,8) (0,2,6) (0,7,2,4,1,5,6,3,8) 2-factorization no. 4 (0,1,2,3,4,5) (6,7,8) (0,3,7,2,5,8) (1,4,6) (1,3,5,7,4,8) (0,2,6) (0,4,2,8,3,6,5,1,7) 2-factorization no. 5 (0,1,2,3,4,5) (6,7,8) (0,4,2,8,3,7) (1,5,6) (1,3,5,7,4,8) (0,2,6) (0,3,6,4,1,7,2,5,8) 2-factorization no. 6 (0,1,2,3,4,5) (6,7,8) (1,3,7,4,8,5) (0,2,6) (1,4,2,7,5,6) (0,3,8) (0,4,6,3,5,2,8,1,7) 2-factorization no. 7 (0,1,2,3,4,5) (6,7,8) (0,3,5,7,2,8) (1,4,6) (1,3,7,4,8,5) (0,2,6) (0,4,2,5,6,3,8,1,7) 2-factorization no. 8 (0,1,2,3,4,5) (6,7,8) (0,3,1,6,4,8) (2,5,7) (1,4,7,3,5,8) (0,2,6) (0,4,2,8,3,6,5,1,7) TYPE = 63 63 9 9 2-factorization no. 0 (0,1,2,3,4,5) (6,7,8) (1,6,3,7,5,8) (0,2,4) (0,3,1,5,6,2,8,4,7) (0,6,4,1,7,2,5,3,8) 2-factorization no. 1 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,6,4,1,5,8,2,7) (0,4,2,5,6,1,7,3,8) 2-factorization no. 2 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,6,4,2,7,1,5,8) (0,4,1,6,5,2,8,3,7) 2-factorization no. 3 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,6,4,2,8,5,1,7) (0,4,1,6,5,2,7,3,8) 2-factorization no. 4 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,6,5,8,2,4,1,7) (0,4,6,1,5,2,7,3,8) 2-factorization no. 5 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,7,1,5,6,4,2,8) (0,4,1,6,3,8,5,2,7) 2-factorization no. 6 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,7,1,6,4,2,5,8) (0,4,1,5,6,3,8,2,7) 2-factorization no. 7 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,7,1,6,5,8,2,4) (0,7,2,5,1,4,6,3,8) 2-factorization no. 8 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,7,2,4,1,6,5,8) (0,4,6,3,8,2,5,1,7) 2-factorization no. 9 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,7,2,8,5,1,6,4) (0,7,1,4,2,5,6,3,8) 2-factorization no. 10 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,7,2,8,5,6,1,4) (0,7,1,5,2,4,6,3,8) 2-factorization no. 11 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,8,2,4,6,5,1,7) (0,4,1,6,3,7,2,5,8) 2-factorization no. 12 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,8,2,5,6,4,1,7) (0,4,2,7,3,6,1,5,8) 2-factorization no. 13 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,8,2,7,1,5,6,4) (0,7,3,6,1,4,2,5,8) 2-factorization no. 14 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,8,5,1,6,4,2,7) (0,4,1,7,3,6,5,2,8) 2-factorization no. 15 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,8,5,2,4,6,1,7) (0,4,1,5,6,3,7,2,8) 2-factorization no. 16 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,8,5,2,7,1,6,4) (0,7,3,6,5,1,4,2,8) 2-factorization no. 17 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,8,5,6,1,4,2,7) (0,4,6,3,7,1,5,2,8) 2-factorization no. 18 (0,1,2,3,4,5) (6,7,8) (1,3,5,7,4,8) (0,2,6) (0,3,8,5,6,1,7,2,4) (0,7,3,6,4,1,5,2,8) 2-factorization no. 19 (0,1,2,3,4,5) (6,7,8) (1,3,7,4,8,5) (0,2,6) (0,3,5,6,4,1,8,2,7) (0,4,2,5,7,1,6,3,8) 2-factorization no. 20 (0,1,2,3,4,5) (6,7,8) (1,3,7,4,8,5) (0,2,6) (0,3,5,6,4,2,7,1,8) (0,4,1,6,3,8,2,5,7) 2-factorization no. 21 (0,1,2,3,4,5) (6,7,8) (1,3,7,4,8,5) (0,2,6) (0,3,5,7,1,6,4,2,8) (0,4,1,8,3,6,5,2,7) 2-factorization no. 22 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,1,5,6,4,8,2,7) (0,4,2,5,7,1,6,3,8) 2-factorization no. 23 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,1,6,4,8,2,5,7) (0,4,2,7,1,5,6,3,8) 2-factorization no. 24 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,1,6,5,7,2,4,8) (0,4,6,3,8,2,5,1,7) 2-factorization no. 25 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,1,6,5,7,2,8,4) (0,7,1,5,2,4,6,3,8) 2-factorization no. 26 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,1,7,2,5,6,4,8) (0,4,2,8,3,6,1,5,7) 2-factorization no. 27 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,1,7,5,6,4,2,8) (0,4,8,3,6,1,5,2,7) 2-factorization no. 28 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,6,1,5,7,2,4,8) (0,4,6,5,2,8,3,1,7) 2-factorization no. 29 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,6,1,7,5,2,4,8) (0,4,6,5,1,3,8,2,7) 2-factorization no. 30 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,6,1,7,5,2,8,4) (0,7,2,4,6,5,1,3,8) 2-factorization no. 31 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,6,4,8,2,5,1,7) (0,4,2,7,5,6,1,3,8) 2-factorization no. 32 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,6,5,1,7,2,4,8) (0,4,6,1,3,8,2,5,7) 2-factorization no. 33 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,6,5,1,7,2,8,4) (0,7,5,2,4,6,1,3,8) 2-factorization no. 34 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,8,2,7,5,1,6,4) (0,7,1,3,6,5,2,4,8) 2-factorization no. 35 (0,1,2,3,4,5) (6,7,8) (1,4,7,3,5,8) (0,2,6) (0,3,8,4,2,5,6,1,7) (0,4,6,3,1,5,7,2,8) 2-factorization no. 36 (0,1,2,3,4,5) (6,7,8) (0,2,6,3,5,7) (1,4,8) (0,3,1,5,6,4,7,2,8) (0,4,2,5,8,3,7,1,6) 2-factorization no. 37 (0,1,2,3,4,5) (6,7,8) (0,2,6,3,5,7) (1,4,8) (0,3,1,5,8,2,7,4,6) (0,4,2,5,6,1,7,3,8) 2-factorization no. 38 (0,1,2,3,4,5) (6,7,8) (0,2,6,3,5,7) (1,4,8) (0,3,1,6,4,7,2,5,8) (0,4,2,8,3,7,1,5,6) 2-factorization no. 39 (0,1,2,3,4,5) (6,7,8) (0,2,6,3,5,7) (1,4,8) (0,3,1,6,5,8,2,7,4) (0,6,4,2,5,1,7,3,8) 2-factorization no. 40 (0,1,2,3,4,5) (6,7,8) (0,2,6,3,5,7) (1,4,8) (0,3,1,7,2,4,6,5,8) (0,4,7,3,8,2,5,1,6) 2-factorization no. 41 (0,1,2,3,4,5) (6,7,8) (0,2,6,3,5,7) (1,4,8) (0,3,1,7,2,8,5,6,4) (0,6,1,5,2,4,7,3,8) 2-factorization no. 42 (0,1,2,3,4,5) (6,7,8) (0,2,6,5,3,7) (1,4,8) (0,3,1,5,8,2,7,4,6) (0,4,2,5,7,1,6,3,8) 2-factorization no. 43 (0,1,2,3,4,5) (6,7,8) (0,2,6,5,3,7) (1,4,8) (0,3,1,6,4,2,7,5,8) (0,4,7,1,5,2,8,3,6) 2-factorization no. 44 (0,1,2,3,4,5) (6,7,8) (0,2,6,5,3,7) (1,4,8) (0,3,1,6,4,7,5,2,8) (0,4,2,7,1,5,8,3,6) 2-factorization no. 45 (0,1,2,3,4,5) (6,7,8) (0,2,6,5,3,7) (1,4,8) (0,3,1,7,5,8,2,4,6) (0,4,7,2,5,1,6,3,8) 2-factorization no. 46 (0,1,2,3,4,5) (6,7,8) (0,2,6,5,3,7) (1,4,8) (0,3,6,4,2,7,1,5,8) (0,4,7,5,2,8,3,1,6) 2-factorization no. 47 (0,1,2,3,4,5) (6,7,8) (0,3,6,5,2,7) (1,4,8) (0,2,4,6,1,3,7,5,8) (0,4,7,1,5,3,8,2,6) 2-factorization no. 48 (0,1,2,3,4,5) (6,7,8) (0,3,6,5,2,7) (1,4,8) (0,2,4,6,1,5,7,3,8) (0,4,7,1,3,5,8,2,6) 2-factorization no. 49 (0,1,2,3,4,5) (6,7,8) (1,4,7,2,5,8) (0,3,6) (0,2,4,6,1,5,7,3,8) (0,4,8,2,6,5,3,1,7) TYPE = 63 9 9 9 2-factorization no. 0 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,1,5,6,4,8,2,7) (0,4,7,1,8,3,5,2,6) 2-factorization no. 1 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,1,8,2,5,6,4,7) (0,4,8,3,5,1,7,2,6) 2-factorization no. 2 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,1,8,4,6,5,2,7) (0,4,7,1,5,3,8,2,6) 2-factorization no. 3 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,1,8,4,7,2,5,6) (0,4,6,2,8,3,5,1,7) 2-factorization no. 4 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,5,1,8,2,6,4,7) (0,4,8,3,1,7,2,5,6) 2-factorization no. 5 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,5,1,8,4,6,2,7) (0,4,7,1,3,8,2,5,6) 2-factorization no. 6 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,5,1,8,4,7,2,6) (0,4,6,5,2,8,3,1,7) 2-factorization no. 7 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,5,2,6,4,8,1,7) (0,4,7,2,8,3,1,5,6) 2-factorization no. 8 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,5,2,8,1,7,4,6) (0,4,8,3,1,5,6,2,7) 2-factorization no. 9 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,5,6,2,8,1,7,4) (0,6,4,8,3,1,5,2,7) 2-factorization no. 10 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,8,1,5,2,6,4,7) (0,4,8,2,7,1,3,5,6) 2-factorization no. 11 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,8,1,5,2,7,4,6) (0,4,8,2,6,5,3,1,7) 2-factorization no. 12 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,8,2,5,1,7,4,6) (0,4,8,1,3,5,6,2,7) 2-factorization no. 13 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,8,2,6,5,1,7,4) (0,6,4,8,1,3,5,2,7) 2-factorization no. 14 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,8,2,7,1,5,6,4) (0,6,2,5,3,1,8,4,7) 2-factorization no. 15 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,8,4,6,2,5,1,7) (0,4,7,2,8,1,3,5,6) 2-factorization no. 16 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,3,7,5,8) (0,3,8,4,7,1,5,2,6) (0,4,6,5,3,1,8,2,7) 2-factorization no. 17 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,1,5,8,2,6,4,7) (0,4,8,1,7,2,5,3,6) 2-factorization no. 18 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,1,7,4,8,5,2,6) (0,4,6,3,5,1,8,2,7) 2-factorization no. 19 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,1,8,5,2,6,4,7) (0,4,8,2,7,1,5,3,6) 2-factorization no. 20 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,1,8,5,2,7,4,6) (0,4,8,2,6,3,5,1,7) 2-factorization no. 21 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,5,1,7,4,8,2,6) (0,4,6,3,1,8,5,2,7) 2-factorization no. 22 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,5,2,6,4,8,1,7) (0,4,7,2,8,5,1,3,6) 2-factorization no. 23 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,5,2,8,1,7,4,6) (0,4,8,5,1,3,6,2,7) 2-factorization no. 24 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,5,8,1,7,2,6,4) (0,6,3,1,5,2,8,4,7) 2-factorization no. 25 (0,1,2,3,4,5) (6,7,8) (0,2,4,1,6,5,7,3,8) (0,3,6,4,8,1,5,2,7) (0,4,7,1,3,5,8,2,6) 2-factorization no. 26 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,5,6,2,7,1,8,4) (0,6,3,8,2,5,1,4,7) 2-factorization no. 27 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,5,6,2,8,1,7,4) (0,6,3,8,4,1,5,2,7) 2-factorization no. 28 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,5,6,2,8,4,1,7) (0,4,7,2,5,1,8,3,6) 2-factorization no. 29 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,6,2,5,1,8,4,7) (0,4,1,7,2,8,3,5,6) 2-factorization no. 30 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,6,5,1,4,8,2,7) (0,4,7,1,8,3,5,2,6) 2-factorization no. 31 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,6,5,1,7,2,8,4) (0,6,2,5,3,8,1,4,7) 2-factorization no. 32 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,6,5,1,8,2,7,4) (0,6,2,5,3,8,4,1,7) 2-factorization no. 33 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,6,5,2,8,1,4,7) (0,4,8,3,5,1,7,2,6) 2-factorization no. 34 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,8,1,4,7,2,5,6) (0,4,8,2,6,3,5,1,7) 2-factorization no. 35 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,8,1,5,6,2,7,4) (0,6,3,5,2,8,4,1,7) 2-factorization no. 36 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,8,2,6,5,1,4,7) (0,4,8,1,7,2,5,3,6) 2-factorization no. 37 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,3,7,5,8) (0,3,8,4,1,5,6,2,7) (0,4,7,1,8,2,5,3,6) 2-factorization no. 38 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,1,4,8,5,6,2,7) (0,4,7,1,8,2,5,3,6) 2-factorization no. 39 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,1,7,2,6,5,8,4) (0,6,3,5,2,8,1,4,7) 2-factorization no. 40 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,1,7,4,8,2,5,6) (0,4,1,8,5,3,6,2,7) 2-factorization no. 41 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,1,8,5,6,2,7,4) (0,6,3,5,2,8,4,1,7) 2-factorization no. 42 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,5,6,2,8,1,4,7) (0,4,8,5,2,7,1,3,6) 2-factorization no. 43 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,5,6,2,8,1,7,4) (0,6,3,1,4,8,5,2,7) 2-factorization no. 44 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,5,6,2,8,4,1,7) (0,4,7,2,5,8,1,3,6) 2-factorization no. 45 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,5,8,1,4,7,2,6) (0,4,8,2,5,6,3,1,7) 2-factorization no. 46 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,6,2,5,8,1,4,7) (0,4,8,2,7,1,3,5,6) 2-factorization no. 47 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,6,2,5,8,4,1,7) (0,4,7,2,8,1,3,5,6) 2-factorization no. 48 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,5,7,3,8) (0,3,6,5,2,8,1,4,7) (0,4,8,5,3,1,7,2,6) 2-factorization no. 49 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,1,4,8,2,6,5,7) (0,4,7,2,5,1,8,3,6) 2-factorization no. 50 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,1,8,2,6,5,7,4) (0,6,3,8,4,1,5,2,7) 2-factorization no. 51 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,1,8,4,7,5,2,6) (0,4,1,5,6,3,8,2,7) 2-factorization no. 52 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,6,2,5,1,8,4,7) (0,4,1,3,8,2,7,5,6) 2-factorization no. 53 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,6,2,7,5,1,8,4) (0,6,5,2,8,3,1,4,7) 2-factorization no. 54 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,6,5,2,8,1,4,7) (0,4,8,3,1,5,7,2,6) 2-factorization no. 55 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,8,1,4,7,2,5,6) (0,4,8,2,6,3,1,5,7) 2-factorization no. 56 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,8,1,5,6,2,7,4) (0,6,3,1,4,8,2,5,7) 2-factorization no. 57 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,8,2,7,4,1,5,6) (0,4,8,1,3,6,2,5,7) 2-factorization no. 58 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,1,7,3,5,8) (0,3,8,4,1,5,6,2,7) (0,4,7,5,2,8,1,3,6) 2-factorization no. 59 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,5,2,7,4,8,1,6) (0,4,1,5,6,2,8,3,7) 2-factorization no. 60 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,5,6,1,4,8,2,7) (0,4,7,3,8,1,5,2,6) 2-factorization no. 61 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,5,6,1,8,2,7,4) (0,6,2,5,1,4,8,3,7) 2-factorization no. 62 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,5,6,2,8,1,4,7) (0,4,8,3,7,2,5,1,6) 2-factorization no. 63 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,7,4,1,8,2,5,6) (0,4,8,3,5,1,6,2,7) 2-factorization no. 64 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,7,4,8,1,5,2,6) (0,4,1,6,5,3,8,2,7) 2-factorization no. 65 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,7,4,8,2,5,1,6) (0,4,1,8,3,5,6,2,7) 2-factorization no. 66 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,8,1,5,6,2,7,4) (0,6,1,4,8,2,5,3,7) 2-factorization no. 67 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,8,2,7,4,1,5,6) (0,4,8,1,6,2,5,3,7) 2-factorization no. 68 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,8,4,1,5,6,2,7) (0,4,7,3,5,2,8,1,6) 2-factorization no. 69 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,8,4,1,6,5,2,7) (0,4,7,3,5,1,8,2,6) 2-factorization no. 70 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,1,7,5,8) (0,3,8,4,7,2,5,1,6) (0,4,1,8,2,6,5,3,7) 2-factorization no. 71 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,1,4,8,5,6,2,7) (0,4,7,3,8,2,5,1,6) 2-factorization no. 72 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,1,6,5,2,8,4,7) (0,4,1,5,8,3,7,2,6) 2-factorization no. 73 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,1,6,5,8,2,7,4) (0,6,2,5,1,4,8,3,7) 2-factorization no. 74 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,7,2,6,1,5,8,4) (0,6,5,2,8,3,1,4,7) 2-factorization no. 75 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,7,4,1,5,8,2,6) (0,4,8,3,1,6,5,2,7) 2-factorization no. 76 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,7,4,8,2,5,1,6) (0,4,1,3,8,5,6,2,7) 2-factorization no. 77 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,8,2,5,6,1,4,7) (0,4,8,5,1,3,7,2,6) 2-factorization no. 78 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,8,2,6,5,1,4,7) (0,4,8,5,2,7,3,1,6) 2-factorization no. 79 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,8,2,7,4,1,5,6) (0,4,8,5,2,6,1,3,7) 2-factorization no. 80 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,8,5,1,4,7,2,6) (0,4,8,2,5,6,1,3,7) 2-factorization no. 81 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,8,5,1,6,2,7,4) (0,6,5,2,8,4,1,3,7) 2-factorization no. 82 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,5,7,1,8) (0,3,8,5,2,6,1,4,7) (0,4,8,2,7,3,1,5,6) 2-factorization no. 83 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,1,4,8,2,6,5,7) (0,4,7,2,5,3,8,1,6) 2-factorization no. 84 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,1,6,5,2,8,4,7) (0,4,1,8,3,5,7,2,6) 2-factorization no. 85 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,1,6,5,7,2,8,4) (0,6,2,5,3,8,1,4,7) 2-factorization no. 86 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,1,8,2,6,5,7,4) (0,6,1,4,8,3,5,2,7) 2-factorization no. 87 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,1,8,4,7,2,5,6) (0,4,1,6,2,8,3,5,7) 2-factorization no. 88 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,1,8,4,7,5,2,6) (0,4,1,6,5,3,8,2,7) 2-factorization no. 89 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,5,2,6,1,8,4,7) (0,4,1,3,8,2,7,5,6) 2-factorization no. 90 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,5,2,7,4,8,1,6) (0,4,1,3,8,2,6,5,7) 2-factorization no. 91 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,5,7,2,6,1,8,4) (0,6,5,2,8,3,1,4,7) 2-factorization no. 92 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,5,7,4,1,8,2,6) (0,4,8,3,1,6,5,2,7) 2-factorization no. 93 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,8,1,4,7,2,5,6) (0,4,8,2,6,1,3,5,7) 2-factorization no. 94 (0,1,2,3,4,5) (6,7,8) (0,2,4,6,3,7,1,5,8) (0,3,8,4,1,6,2,5,7) (0,4,7,2,8,1,3,5,6) 2-factorization no. 95 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,3,7,4,8) (0,3,1,7,2,8,5,6,4) (0,6,2,4,1,8,3,5,7) 2-factorization no. 96 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,3,7,4,8) (0,3,1,7,5,8,2,4,6) (0,4,1,8,3,5,6,2,7) 2-factorization no. 97 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,3,7,4,8) (0,3,1,7,5,8,2,6,4) (0,6,5,3,8,1,4,2,7) 2-factorization no. 98 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,3,7,4,8) (0,3,1,8,5,6,4,2,7) (0,4,1,7,5,3,8,2,6) 2-factorization no. 99 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,3,7,4,8) (0,3,1,8,5,7,2,6,4) (0,6,5,3,8,2,4,1,7) 2-factorization no. 100 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,3,7,4,8) (0,3,5,7,1,8,2,6,4) (0,6,5,8,3,1,4,2,7) 2-factorization no. 101 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,4,7,3,8) (0,3,1,7,2,4,8,5,6) (0,4,1,8,2,6,3,5,7) 2-factorization no. 102 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,4,7,3,8) (0,3,1,7,5,6,2,8,4) (0,6,3,5,8,1,4,2,7) 2-factorization no. 103 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,4,7,3,8) (0,3,1,8,4,2,6,5,7) (0,4,1,7,2,8,5,3,6) 2-factorization no. 104 (0,1,2,3,4,5) (6,7,8) (0,2,5,1,6,4,7,3,8) (0,3,5,6,2,7,1,8,4) (0,6,3,1,4,2,8,5,7) 2-factorization no. 105 (0,1,2,3,4,5) (6,7,8) (0,2,5,3,6,1,7,4,8) (0,3,1,8,2,7,5,6,4) (0,6,2,4,1,5,8,3,7) 2-factorization no. 106 (0,1,2,3,4,5) (6,7,8) (0,2,5,3,6,1,7,4,8) (0,3,7,5,1,8,2,4,6) (0,4,1,3,8,5,6,2,7) 2-factorization no. 107 (0,1,2,3,4,5) (6,7,8) (0,2,5,3,6,4,7,1,8) (0,3,1,6,2,7,5,8,4) (0,6,5,1,4,2,8,3,7) 2-factorization no. 108 (0,1,2,3,4,5) (6,7,8) (0,2,5,3,6,4,7,1,8) (0,3,7,2,4,8,5,1,6) (0,4,1,3,8,2,6,5,7) 2-factorization no. 109 (0,1,2,3,4,5) (6,7,8) (0,2,5,6,1,3,7,4,8) (0,3,6,4,2,8,5,1,7) (0,4,1,8,3,5,7,2,6) 2-factorization no. 110 (0,1,2,3,4,5) (6,7,8) (0,2,5,6,1,3,7,4,8) (0,3,8,1,5,7,2,6,4) (0,6,3,5,8,2,4,1,7) 2-factorization no. 111 (0,1,2,3,4,5) (6,7,8) (0,2,5,6,1,3,7,4,8) (0,3,8,5,1,7,2,4,6) (0,4,1,8,2,6,3,5,7) 2-factorization no. 112 (0,1,2,3,4,5) (6,7,8) (0,2,5,6,3,1,7,4,8) (0,3,8,1,5,7,2,4,6) (0,4,1,6,2,8,5,3,7) 2-factorization no. 113 (0,1,2,3,4,5) (6,7,8) (0,2,5,6,3,1,7,4,8) (0,3,8,1,5,7,2,6,4) (0,6,1,4,2,8,5,3,7) 2-factorization no. 114 (0,1,2,3,4,5) (6,7,8) (0,2,5,6,4,7,1,3,8) (0,3,6,2,7,5,1,8,4) (0,6,1,4,2,8,5,3,7) 2-factorization no. 115 (0,1,2,3,4,5) (6,7,8) (0,2,5,6,4,7,1,3,8) (0,3,7,2,4,8,5,1,6) (0,4,1,8,2,6,3,5,7) 2-factorization no. 116 (0,1,2,3,4,5) (6,7,8) (0,2,5,6,4,7,3,1,8) (0,3,6,2,7,1,5,8,4) (0,6,1,4,2,8,3,5,7) 2-factorization no. 117 (0,1,2,3,4,5) (6,7,8) (0,2,6,1,4,7,3,5,8) (0,3,6,4,2,8,1,5,7) (0,4,8,3,1,7,2,5,6) 2-factorization no. 118 (0,1,2,3,4,5) (6,7,8) (0,2,6,1,4,7,3,5,8) (0,3,8,1,5,6,4,2,7) (0,4,8,2,5,7,1,3,6) 2-factorization no. 119 (0,1,2,3,4,5) (6,7,8) (0,2,6,1,4,7,3,5,8) (0,3,8,4,2,7,1,5,6) (0,4,6,3,1,8,2,5,7) 2-factorization no. 120 (0,1,2,3,4,5) (6,7,8) (0,2,6,1,4,7,5,3,8) (0,3,6,4,2,8,5,1,7) (0,4,8,1,3,7,2,5,6) 2-factorization no. 121 (0,1,2,3,4,5) (6,7,8) (0,2,6,1,4,7,5,3,8) (0,3,7,1,5,8,2,4,6) (0,4,8,1,3,6,5,2,7) TYPE = 9 9 9 9 2-factorization no. 0 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,5,1,7,2,8,4,6) (0,4,7,3,8,1,6,2,5) 2-factorization no. 1 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,5,1,7,4,8,2,6) (0,4,6,1,8,3,7,2,5) 2-factorization no. 2 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,5,1,8,2,7,4,6) (0,4,8,3,7,1,6,2,5) 2-factorization no. 3 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,5,1,8,4,7,2,6) (0,4,6,1,7,3,8,2,5) 2-factorization no. 4 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,5,2,7,4,8,1,6) (0,4,6,2,8,3,7,1,5) 2-factorization no. 5 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,5,2,8,1,7,4,6) (0,4,8,3,7,2,6,1,5) 2-factorization no. 6 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,5,2,8,4,7,1,6) (0,4,6,2,7,3,8,1,5) 2-factorization no. 7 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,7,1,8,4,6,2,5) (0,4,7,2,8,3,5,1,6) 2-factorization no. 8 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,7,2,8,4,6,1,5) (0,4,7,1,8,3,5,2,6) 2-factorization no. 9 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,7,4,6,2,8,1,5) (0,4,8,3,5,2,7,1,6) 2-factorization no. 10 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,7,4,8,1,5,2,6) (0,4,6,1,7,2,8,3,5) 2-factorization no. 11 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,7,4,8,2,5,1,6) (0,4,6,2,7,1,8,3,5) 2-factorization no. 12 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,8,1,7,4,6,2,5) (0,4,8,2,7,3,5,1,6) 2-factorization no. 13 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,6,8,5,7) (0,3,8,4,7,2,5,1,6) (0,4,6,2,8,1,7,3,5) 2-factorization no. 14 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,5,1,6,2,8,4,7) (0,4,6,3,8,1,7,2,5) 2-factorization no. 15 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,5,1,6,4,8,2,7) (0,4,7,1,8,3,6,2,5) 2-factorization no. 16 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,5,1,8,2,6,4,7) (0,4,8,3,6,1,7,2,5) 2-factorization no. 17 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,5,1,8,4,6,2,7) (0,4,7,1,6,3,8,2,5) 2-factorization no. 18 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,5,2,6,1,8,4,7) (0,4,6,3,8,2,7,1,5) 2-factorization no. 19 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,5,2,6,4,8,1,7) (0,4,7,2,8,3,6,1,5) 2-factorization no. 20 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,5,2,8,1,6,4,7) (0,4,8,3,6,2,7,1,5) 2-factorization no. 21 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,5,2,8,4,6,1,7) (0,4,7,2,6,3,8,1,5) 2-factorization no. 22 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,6,2,8,4,7,1,5) (0,4,6,1,8,3,5,2,7) 2-factorization no. 23 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,6,4,7,1,8,2,5) (0,4,8,3,5,1,6,2,7) 2-factorization no. 24 (0,1,2,3,4,5,6,7,8) (0,2,4,1,3,7,5,8,6) (0,3,8,1,6,4,7,2,5) (0,4,8,2,6,3,5,1,7) 2-factorization no. 25 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,7,3,8,6) (0,3,1,6,4,8,5,2,7) (0,4,7,1,8,2,6,3,5) 2-factorization no. 26 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,7,3,8,6) (0,3,1,7,4,6,2,8,5) (0,4,8,1,6,3,5,2,7) 2-factorization no. 27 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,7,3,8,6) (0,3,1,8,5,2,6,4,7) (0,4,8,2,7,1,6,3,5) 2-factorization no. 28 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,7,3,8,6) (0,3,5,2,6,1,8,4,7) (0,4,6,3,1,7,2,8,5) 2-factorization no. 29 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,7,3,8,6) (0,3,5,2,8,4,6,1,7) (0,4,7,2,6,3,1,8,5) 2-factorization no. 30 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,8,6,3,7) (0,3,1,6,4,8,2,7,5) (0,4,7,1,8,3,5,2,6) 2-factorization no. 31 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,8,6,3,7) (0,3,1,7,5,2,8,4,6) (0,4,7,2,6,1,8,3,5) 2-factorization no. 32 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,8,6,3,7) (0,3,5,2,7,4,8,1,6) (0,4,6,2,8,3,1,7,5) 2-factorization no. 33 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,8,6,3,7) (0,3,5,7,1,8,2,6,4) (0,5,2,7,4,8,3,1,6) 2-factorization no. 34 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,8,6,3,7) (0,3,8,1,6,2,5,7,4) (0,5,3,1,7,2,8,4,6) 2-factorization no. 35 (0,1,2,3,4,5,6,7,8) (0,2,4,1,5,8,6,3,7) (0,3,8,1,7,4,6,2,5) (0,4,8,2,7,5,3,1,6) 2-factorization no. 36 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,3,8,5,7) (0,3,1,5,2,7,4,8,6) (0,4,6,2,8,1,7,3,5) 2-factorization no. 37 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,3,8,5,7) (0,3,1,7,4,6,8,2,5) (0,4,8,1,5,3,7,2,6) 2-factorization no. 38 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,3,8,5,7) (0,3,5,1,7,2,6,8,4) (0,5,2,8,1,3,7,4,6) 2-factorization no. 39 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,3,8,5,7) (0,3,5,1,7,2,8,4,6) (0,4,7,3,1,8,6,2,5) 2-factorization no. 40 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,3,8,5,7) (0,3,5,2,8,1,7,4,6) (0,4,8,6,2,7,3,1,5) 2-factorization no. 41 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,3,8,5,7) (0,3,7,4,8,1,5,2,6) (0,4,6,8,2,7,1,3,5) 2-factorization no. 42 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,1,5,8,2,7,4,6) (0,4,8,1,7,3,6,2,5) 2-factorization no. 43 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,1,5,8,4,7,2,6) (0,4,6,3,7,1,8,2,5) 2-factorization no. 44 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,1,7,4,6,2,8,5) (0,4,8,1,5,2,7,3,6) 2-factorization no. 45 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,1,7,4,8,5,2,6) (0,4,6,3,7,2,8,1,5) 2-factorization no. 46 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,1,8,5,2,7,4,6) (0,4,8,2,6,3,7,1,5) 2-factorization no. 47 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,6,2,5,8,1,7,4) (0,5,1,3,7,2,8,4,6) 2-factorization no. 48 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,6,2,7,1,5,8,4) (0,5,2,8,1,3,7,4,6) 2-factorization no. 49 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,6,4,7,1,8,2,5) (0,4,8,5,1,3,7,2,6) 2-factorization no. 50 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,5,7) (0,3,7,4,6,2,8,1,5) (0,4,8,5,2,7,1,3,6) 2-factorization no. 51 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,7,5) (0,3,1,5,8,2,6,4,7) (0,4,8,1,7,2,5,3,6) 2-factorization no. 52 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,7,5) (0,3,1,5,8,4,6,2,7) (0,4,7,1,8,2,5,3,6) 2-factorization no. 53 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,7,5) (0,3,1,8,5,2,6,4,7) (0,4,8,2,7,1,5,3,6) 2-factorization no. 54 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,7,5) (0,3,1,8,5,2,7,4,6) (0,4,8,2,6,3,5,1,7) 2-factorization no. 55 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,7,5) (0,3,5,1,8,2,6,4,7) (0,4,8,5,2,7,1,3,6) 2-factorization no. 56 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,3,7,5) (0,3,5,1,8,2,7,4,6) (0,4,8,5,2,6,3,1,7) 2-factorization no. 57 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,1,5,7,2,8,4,6) (0,4,7,1,8,3,6,2,5) 2-factorization no. 58 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,1,7,5,2,8,4,6) (0,4,7,2,6,3,8,1,5) 2-factorization no. 59 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,1,8,2,5,7,4,6) (0,4,8,3,6,2,7,1,5) 2-factorization no. 60 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,6,2,5,7,1,8,4) (0,5,1,3,8,2,7,4,6) 2-factorization no. 61 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,6,2,7,5,1,8,4) (0,5,2,8,3,1,7,4,6) 2-factorization no. 62 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,6,2,8,1,5,7,4) (0,5,2,7,1,3,8,4,6) 2-factorization no. 63 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,6,4,7,1,8,2,5) (0,4,8,3,1,5,7,2,6) 2-factorization no. 64 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,6,4,7,2,8,1,5) (0,4,8,3,1,7,5,2,6) 2-factorization no. 65 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,6,4,8,1,7,2,5) (0,4,7,5,1,3,8,2,6) 2-factorization no. 66 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,8,1,5,7,2,6,4) (0,5,2,8,4,7,1,3,6) 2-factorization no. 67 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,8,2,5,1,7,4,6) (0,4,8,1,3,6,2,7,5) 2-factorization no. 68 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,3,7) (0,3,8,4,6,2,7,1,5) (0,4,7,5,2,8,1,3,6) 2-factorization no. 69 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,7,3) (0,4,6,2,7,1,8,3,5) (0,6,3,1,5,2,8,4,7) 2-factorization no. 70 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,7,3) (0,4,6,3,8,2,5,1,7) (0,5,3,1,8,4,7,2,6) 2-factorization no. 71 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,7,3) (0,4,7,1,8,2,5,3,6) (0,5,1,3,8,4,6,2,7) 2-factorization no. 72 (0,1,2,3,4,5,6,7,8) (0,2,4,1,6,8,5,7,3) (0,4,7,1,8,2,6,3,5) (0,6,4,8,3,1,5,2,7) 2-factorization no. 73 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,1,6,4,8,2,5,7) (0,4,7,2,6,3,8,1,5) 2-factorization no. 74 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,1,8,4,6,2,5,7) (0,4,7,2,8,3,6,1,5) 2-factorization no. 75 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,6,1,8,2,5,7,4) (0,5,1,3,8,4,6,2,7) 2-factorization no. 76 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,6,2,5,1,8,4,7) (0,4,6,1,3,8,2,7,5) 2-factorization no. 77 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,6,2,7,4,8,1,5) (0,4,6,1,3,8,2,5,7) 2-factorization no. 78 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,6,2,7,5,1,8,4) (0,5,2,8,3,1,6,4,7) 2-factorization no. 79 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,6,4,7,2,8,1,5) (0,4,8,3,1,6,2,5,7) 2-factorization no. 80 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,8,2,5,1,6,4,7) (0,4,8,1,3,6,2,7,5) 2-factorization no. 81 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,8,2,7,5,1,6,4) (0,5,2,6,3,1,8,4,7) 2-factorization no. 82 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,5,8,6) (0,3,8,4,7,2,6,1,5) (0,4,6,3,1,8,2,5,7) 2-factorization no. 83 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,6,8,5) (0,3,1,8,2,5,7,4,6) (0,4,8,3,5,1,6,2,7) 2-factorization no. 84 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,6,8,5) (0,3,1,8,4,6,2,5,7) (0,4,7,2,8,3,5,1,6) 2-factorization no. 85 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,6,8,5) (0,3,1,8,4,7,5,2,6) (0,4,6,1,5,3,8,2,7) 2-factorization no. 86 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,6,8,5) (0,3,5,1,8,4,6,2,7) (0,4,7,5,2,8,3,1,6) 2-factorization no. 87 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,6,8,5) (0,3,5,2,7,4,8,1,6) (0,4,6,2,8,3,1,5,7) 2-factorization no. 88 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,3,6,8,5) (0,3,8,2,5,1,6,4,7) (0,4,8,1,3,5,7,2,6) 2-factorization no. 89 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,3,8,6) (0,3,1,6,2,5,8,4,7) (0,4,6,3,7,2,8,1,5) 2-factorization no. 90 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,3,8,6) (0,3,1,6,4,7,2,8,5) (0,4,8,1,5,2,6,3,7) 2-factorization no. 91 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,3,8,6) (0,3,6,1,5,2,8,4,7) (0,4,6,2,7,3,1,8,5) 2-factorization no. 92 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,3,8,6) (0,3,6,4,7,2,8,1,5) (0,4,8,5,2,6,1,3,7) 2-factorization no. 93 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,3,8,6) (0,3,7,2,8,5,1,6,4) (0,5,2,6,3,1,8,4,7) 2-factorization no. 94 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,3,8,6) (0,3,7,4,6,1,8,2,5) (0,4,8,5,1,3,6,2,7) 2-factorization no. 95 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,8,3,6) (0,3,5,1,6,4,8,2,7) (0,4,7,3,1,8,6,2,5) 2-factorization no. 96 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,8,3,6) (0,3,5,1,8,6,2,7,4) (0,5,2,8,4,6,1,3,7) 2-factorization no. 97 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,8,3,6) (0,3,5,2,6,1,8,4,7) (0,4,6,8,2,7,3,1,5) 2-factorization no. 98 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,8,3,6) (0,3,5,2,8,1,6,4,7) (0,4,8,6,2,7,3,1,5) 2-factorization no. 99 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,8,6,3) (0,4,6,1,8,2,5,3,7) (0,5,1,3,8,4,7,2,6) 2-factorization no. 100 (0,1,2,3,4,5,6,7,8) (0,2,4,1,7,5,8,6,3) (0,4,7,3,8,2,5,1,6) (0,5,3,1,8,4,6,2,7) 2-factorization no. 101 (0,1,2,3,4,5,6,7,8) (0,2,4,1,8,6,3,5,7) (0,3,1,6,4,7,2,8,5) (0,4,8,3,7,1,5,2,6) 2-factorization no. 102 (0,1,2,3,4,5,6,7,8) (0,2,4,1,8,6,3,5,7) (0,3,7,4,8,2,5,1,6) (0,4,6,2,7,1,3,8,5) 2-factorization no. 103 (0,1,2,3,4,5,6,7,8) (0,2,4,1,8,6,3,5,7) (0,3,8,4,7,1,5,2,6) (0,4,6,1,3,7,2,8,5) 2-factorization no. 104 (0,1,2,3,4,5,6,7,8) (0,2,4,1,8,6,3,5,7) (0,3,8,5,1,7,2,6,4) (0,5,2,8,4,7,3,1,6) 2-factorization no. 105 (0,1,2,3,4,5,6,7,8) (0,2,4,1,8,6,3,7,5) (0,3,8,4,7,2,5,1,6) (0,4,6,2,8,5,3,1,7) 2-factorization no. 106 (0,1,2,3,4,5,6,7,8) (0,2,4,6,1,5,8,3,7) (0,3,1,4,8,6,2,7,5) (0,4,7,1,8,2,5,3,6) 2-factorization no. 107 (0,1,2,3,4,5,6,7,8) (0,2,4,6,1,8,3,5,7) (0,3,1,4,7,2,5,8,6) (0,4,8,2,6,3,7,1,5) 2-factorization no. 108 (0,1,2,3,4,5,6,7,8) (0,2,4,6,1,8,5,3,7) (0,3,6,8,2,7,4,1,5) (0,4,8,3,1,7,5,2,6) 2-factorization no. 109 (0,1,2,3,4,5,6,7,8) (0,2,4,6,1,8,5,3,7) (0,3,8,6,2,7,5,1,4) (0,5,2,8,4,7,1,3,6) 2-factorization no. 110 (0,1,2,3,4,5,6,7,8) (0,2,4,7,1,3,6,8,5) (0,3,8,1,5,7,2,6,4) (0,6,1,4,8,2,5,3,7) 2-factorization no. 111 (0,1,2,3,4,5,6,7,8) (0,2,4,7,1,3,6,8,5) (0,3,8,4,1,5,7,2,6) (0,4,6,1,8,2,5,3,7) 2-factorization no. 112 (0,1,2,3,4,5,6,7,8) (0,2,4,7,1,6,8,3,5) (0,3,7,2,8,5,1,4,6) (0,4,8,1,3,6,2,5,7) 2-factorization no. 113 (0,1,2,3,4,5,6,7,8) (0,2,4,7,1,8,5,3,6) (0,3,1,4,8,6,2,7,5) (0,4,6,1,5,2,8,3,7) 2-factorization no. 114 (0,1,2,3,4,5,6,7,8) (0,2,4,7,3,1,5,8,6) (0,3,5,2,6,4,8,1,7) (0,4,1,6,3,8,2,7,5) 2-factorization no. 115 (0,1,2,3,4,5,6,7,8) (0,2,4,7,3,1,5,8,6) (0,3,8,2,6,4,1,7,5) (0,4,8,1,6,3,5,2,7) 2-factorization no. 116 (0,1,2,3,4,5,6,7,8) (0,2,4,7,3,1,6,8,5) (0,3,5,1,7,2,8,4,6) (0,4,1,8,3,6,2,5,7) 2-factorization no. 117 (0,1,2,3,4,5,6,7,8) (0,2,4,7,3,1,6,8,5) (0,3,5,2,6,4,8,1,7) (0,4,1,5,7,2,8,3,6) 2-factorization no. 118 (0,1,2,3,4,5,6,7,8) (0,2,4,7,3,1,6,8,5) (0,3,6,4,8,2,5,1,7) (0,4,1,8,3,5,7,2,6) 2-factorization no. 119 (0,1,2,3,4,5,6,7,8) (0,2,4,7,3,1,6,8,5) (0,3,8,1,5,7,2,6,4) (0,6,3,5,2,8,4,1,7) 2-factorization no. 120 (0,1,2,3,4,5,6,7,8) (0,2,4,7,3,1,6,8,5) (0,3,8,4,1,7,5,2,6) (0,4,6,3,5,1,8,2,7) 2-factorization no. 121 (0,1,2,3,4,5,6,7,8) (0,2,4,7,3,6,8,1,5) (0,3,5,8,2,7,1,4,6) (0,4,8,3,1,6,2,5,7)