Smallest-degree examples of triples of permutations g, h and g*h
such that |g| = a, |h| = b, |g*h| = c, where 1 < a, b, c <= 8 and a <= b:
(a,b,c) = (2,2,2): (1,2) * (3,4) = (1,2)(3,4)
(a,b,c) = (2,2,3): (1,2) * (1,3) = (1,2,3)
(a,b,c) = (2,2,4): (1,2) * (1,3)(2,4) = (1,4,2,3)
(a,b,c) = (2,2,5): (1,2)(3,4) * (1,3)(2,5) = (1,5,2,3,4)
(a,b,c) = (2,2,6): (1,2)(3,4) * (1,5) = (1,2,5)(3,4)
(a,b,c) = (2,2,7): (1,2)(3,4)(5,6) * (1,3)(2,5)(4,7) = (1,5,6,2,3,7,4)
(a,b,c) = (2,2,8): (1,2)(3,4)(5,6) * (1,3)(2,5)(4,7)(6,8) = (1,5,8,6,2,3,7,4)
(a,b,c) = (2,3,2): (1,2) * (1,2,3) = (1,3)
(a,b,c) = (2,3,3): (1,2)(3,4) * (1,2,3) = (1,3,4)
(a,b,c) = (2,3,4): (1,2) * (1,3,4) = (1,2,3,4)
(a,b,c) = (2,3,5): (1,2)(3,4) * (1,3,5) = (1,2,3,4,5)
(a,b,c) = (2,3,6): (4,5) * (1,2,3) = (1,2,3)(4,5)
(a,b,c) = (2,3,7): (1,2)(3,4) * (1,5,6)(2,3,7) = (1,3,4,7,2,5,6)
(a,b,c) = (2,3,8): (1,2)(3,4)(5,6) * (1,3,5)(6,7,8) = (1,2,3,4,5,7,8,6)
(a,b,c) = (2,4,2): (1,2) * (1,3,2,4) = (1,4)(2,3)
(a,b,c) = (2,4,3): (1,2) * (1,2,3,4) = (1,3,4)
(a,b,c) = (2,4,4): (1,2)(3,4) * (1,3,2,4) = (1,4,2,3)
(a,b,c) = (2,4,5): (1,5) * (1,2,3,4) = (1,5,2,3,4)
(a,b,c) = (2,4,6): (1,2)(3,4) * (1,3,2,5) = (1,5)(2,3,4)
(a,b,c) = (2,4,7): (1,2)(3,4) * (1,5,6,7)(2,3) = (1,3,4,2,5,6,7)
(a,b,c) = (2,4,8): (1,2)(3,4) * (1,5,6,7)(2,3)(4,8) = (1,3,8,4,2,5,6,7)
(a,b,c) = (2,5,2): (1,2)(3,4) * (1,2,3,5,4) = (1,3)(4,5)
(a,b,c) = (2,5,3): (1,2)(3,4) * (1,2,3,4,5) = (1,3,5)
(a,b,c) = (2,5,4): (1,2) * (1,2,3,4,5) = (1,3,4,5)
(a,b,c) = (2,5,5): (1,2)(3,4) * (1,3,2,4,5) = (1,4,2,3,5)
(a,b,c) = (2,5,6): (1,2) * (1,3,2,4,5) = (1,4,5)(2,3)
(a,b,c) = (2,5,7): (1,2)(3,4) * (1,3,5,6,7) = (1,2,3,4,5,6,7)
(a,b,c) = (2,5,8): (1,2)(3,4)(5,6) * (1,3,5,7,8) = (1,2,3,4,5,6,7,8)
(a,b,c) = (2,6,2): (1,2) * (1,2,3)(4,5) = (1,3)(4,5)
(a,b,c) = (2,6,3): (4,5) * (1,2,3)(4,5) = (1,2,3)
(a,b,c) = (2,6,4): (1,2)(3,4) * (1,2,3)(4,5) = (1,3,5,4)
(a,b,c) = (2,6,5): (1,2) * (1,3,4)(2,5) = (1,5,2,3,4)
(a,b,c) = (2,6,6): (1,2)(3,4) * (1,5,3)(2,4) = (1,4)(2,5,3)
(a,b,c) = (2,6,7): (1,2)(3,4) * (1,3,5)(2,6)(4,7) = (1,6,2,3,7,4,5)
(a,b,c) = (2,6,8): (1,2)(3,4) * (1,5,6)(2,3,7)(4,8) = (1,3,8,4,7,2,5,6)
(a,b,c) = (2,7,2): (1,2)(3,4)(5,6) * (1,5,3,7,4,6,2) = (2,5)(3,6)(4,7)
(a,b,c) = (2,7,3): (1,2)(3,4) * (1,3,4,5,2,6,7) = (1,6,7)(2,3,5)
(a,b,c) = (2,7,4): (1,2)(3,4) * (1,2,3,5,4,6,7) = (1,3,6,7)(4,5)
(a,b,c) = (2,7,5): (1,2)(3,4) * (1,2,3,4,5,6,7) = (1,3,5,6,7)
(a,b,c) = (2,7,6): (1,2) * (1,2,3,4,5,6,7) = (1,3,4,5,6,7)
(a,b,c) = (2,7,7): (1,2)(3,4) * (1,3,2,4,5,6,7) = (1,4,2,3,5,6,7)
(a,b,c) = (2,7,8): (1,2)(3,4)(5,6) * (1,3,2,4,7,8,5) = (1,4,2,3,7,8,5,6)
(a,b,c) = (2,8,2): (1,2)(3,4)(5,6) * (1,5,3,7,4,6,2,8) = (1,8)(2,5)(3,6)(4,7)
(a,b,c) = (2,8,3): (1,2)(3,4)(5,6) * (1,2,3,5,6,7,4,8) = (1,3,8)(4,5,7)
(a,b,c) = (2,8,4): (1,2)(3,4)(5,6) * (1,2,3,4,5,7,6,8) = (1,3,5,8)(6,7)
(a,b,c) = (2,8,5): (1,2)(3,4)(5,6) * (1,2,3,4,5,6,7,8) = (1,3,5,7,8)
(a,b,c) = (2,8,6): (1,2) * (1,3,2,4,5,6,7,8) = (1,4,5,6,7,8)(2,3)
(a,b,c) = (2,8,7): (1,2) * (1,2,3,4,5,6,7,8) = (1,3,4,5,6,7,8)
(a,b,c) = (2,8,8): (1,2)(3,4) * (1,3,2,4,5,6,7,8) = (1,4,2,3,5,6,7,8)
(a,b,c) = (3,3,2): (1,2,3) * (1,2,4) = (1,4)(2,3)
(a,b,c) = (3,3,3): (1,2,3) * (1,2,3) = (1,3,2)
(a,b,c) = (3,3,4): (1,2,3) * (1,2,4)(3,5,6) = (1,4)(2,5,6,3)
(a,b,c) = (3,3,5): (1,2,3) * (1,4,5) = (1,2,3,4,5)
(a,b,c) = (3,3,6): (1,2,3)(4,5,6) * (1,2,7) = (1,7)(2,3)(4,5,6)
(a,b,c) = (3,3,7): (1,2,3)(4,5,6) * (1,4,7) = (1,2,3,4,5,6,7)
(a,b,c) = (3,3,8): (1,2,3)(4,5,6) * (1,7,8)(2,9,10)(3,4,5) = (1,9,10,2,4,3,7,8)(5,6)
(a,b,c) = (3,4,2): (1,2,3) * (1,3,2,4) = (1,4)
(a,b,c) = (3,4,3): (1,2,3) * (1,2,4,5)(3,6) = (1,4,5)(2,6,3)
(a,b,c) = (3,4,4): (1,2,3) * (1,2,3,4) = (1,3,2,4)
(a,b,c) = (3,4,5): (1,2,3) * (1,4,5,2)(3,6) = (2,6,3,4,5)
(a,b,c) = (3,4,6): (1,2,3) * (1,2,4,5) = (1,4,5)(2,3)
(a,b,c) = (3,4,7): (1,2,3)(4,5,6) * (1,2,3,4)(5,7) = (1,3,2,4,7,5,6)
(a,b,c) = (3,4,8): (1,2,3)(4,5,6) * (1,4,7,8) = (1,2,3,4,5,6,7,8)
(a,b,c) = (3,5,2): (1,2,3) * (1,3,4,2,5) = (1,5)(2,4)
(a,b,c) = (3,5,3): (1,2,3) * (1,3,2,4,5) = (1,4,5)
(a,b,c) = (3,5,4): (1,2,3) * (1,2,4,5,6) = (1,4,5,6)(2,3)
(a,b,c) = (3,5,5): (1,2,3) * (1,2,3,4,5) = (1,3,2,4,5)
(a,b,c) = (3,5,6): (1,2,3)(4,5,6) * (1,2,4,5,7) = (1,4,7)(2,3)(5,6)
(a,b,c) = (3,5,7): (1,2,3)(4,5,6) * (1,2,3,4,7) = (1,3,2,4,5,6,7)
(a,b,c) = (3,5,8): (1,2,3)(4,5,6) * (1,2,4,3,5)(6,7,8,9,10) = (1,4)(2,5,7,8,9,10,6,3)
(a,b,c) = (3,6,2): (1,2,3) * (1,3,2)(4,5) = (4,5)
(a,b,c) = (3,6,3): (1,2,3) * (1,2)(3,7)(4,5,6) = (2,7,3)(4,5,6)
(a,b,c) = (3,6,4): (1,2,3) * (1,3,4)(2,5) = (1,5,2,4)
(a,b,c) = (3,6,5): (1,3,6)(2,4,5) * (1,2,3)(4,5)(6,7) = (2,5,3,7,6)
(a,b,c) = (3,6,6): (1,2,3) * (1,2,3)(4,5) = (1,3,2)(4,5)
(a,b,c) = (3,6,7): (1,4,6) * (1,2,3)(4,5)(6,7) = (1,5,4,7,6,2,3)
(a,b,c) = (3,6,8): (1,4,6)(2,7,8) * (1,2,3)(4,5) = (1,5,4,6,2,7,8,3)
(a,b,c) = (3,7,2): (1,2,3)(4,5,6) * (1,3,2,4,6,7,5) = (1,4)(5,7)
(a,b,c) = (3,7,3): (1,2,3) * (1,3,6,7,2,4,5) = (1,4,5)(2,6,7)
(a,b,c) = (3,7,4): (1,2,3) * (1,3,4,2,5,6,7) = (1,5,6,7)(2,4)
(a,b,c) = (3,7,5): (1,2,3) * (1,3,2,4,5,6,7) = (1,4,5,6,7)
(a,b,c) = (3,7,6): (1,2,3)(4,5,6) * (1,2,4,3,6,7,5) = (1,4)(2,6,3)(5,7)
(a,b,c) = (3,7,7): (1,2,3) * (1,2,3,4,5,6,7) = (1,3,2,4,5,6,7)
(a,b,c) = (3,7,8): (1,2,3)(4,5,6) * (1,2,4,7,8,9,10) = (1,4,5,6,7,8,9,10)(2,3)
(a,b,c) = (3,8,2): (1,2,3)(4,5,6) * (1,3,5,4,7,6,2,8) = (1,8)(2,5)(6,7)
(a,b,c) = (3,8,3): (1,2,3)(4,5,6) * (1,7,8,3,9,10,2,4)(5,6) = (1,4,6)(2,9,10)(3,7,8)
(a,b,c) = (3,8,4): (1,2,3)(4,5,6) * (1,3,2,4,6,5,7,8) = (1,4,7,8)
(a,b,c) = (3,8,5): (1,2,3)(4,5,6) * (1,2,7,5,8,9,3,4)(6,10) = (1,7,5,10,6)(2,4,8,9,3)
(a,b,c) = (3,8,6): (1,2,3) * (1,3,2,4,5,6,7,8) = (1,4,5,6,7,8)
(a,b,c) = (3,8,7): (1,2,3)(4,5,6) * (1,3,2,4,6,7,8,9)(5,10) = (1,4,10,5,7,8,9)
(a,b,c) = (3,8,8): (1,2,3) * (1,2,3,4,5,6,7,8) = (1,3,2,4,5,6,7,8)
(a,b,c) = (4,4,2): (1,2,3,4) * (1,2,3,4) = (1,3)(2,4)
(a,b,c) = (4,4,3): (1,2,3,4) * (1,2,4,3) = (1,4,2)
(a,b,c) = (4,4,4): (1,2,3,4) * (1,3,5,6) = (1,2,5,6)(3,4)
(a,b,c) = (4,4,5): (1,2,3,4) * (1,2,3,5) = (1,3,4,2,5)
(a,b,c) = (4,4,6): (1,2,3,4) * (1,2,3,5)(4,6) = (1,3,6,4,2,5)
(a,b,c) = (4,4,7): (1,2,3,4) * (1,5,6,7) = (1,2,3,4,5,6,7)
(a,b,c) = (4,4,8): (1,2,3,4) * (1,2,3,5)(4,6,7,8) = (1,3,6,7,8,4,2,5)
(a,b,c) = (4,5,2): (1,2,3,4) * (1,4,3,2,5) = (1,5)
(a,b,c) = (4,5,3): (1,2,3,4)(5,6) * (1,2,4,5,3) = (1,4,2)(3,5,6)
(a,b,c) = (4,5,4): (1,2,3,4) * (1,2,4,3,5) = (1,4,2,5)
(a,b,c) = (4,5,5): (1,2,3,4)(5,6) * (1,2,4,3,5) = (1,4,2,5,6)
(a,b,c) = (4,5,6): (1,2,3,4) * (1,2,3,4,5) = (1,3,5)(2,4)
(a,b,c) = (4,5,7): (1,2,3,4)(5,6) * (1,2,3,5,7) = (1,3,4,2,5,6,7)
(a,b,c) = (4,5,8): (1,2,3,4) * (1,5,6,7,8) = (1,2,3,4,5,6,7,8)
(a,b,c) = (4,6,2): (1,2,4,5) * (1,2,3)(4,5) = (1,3)(2,5)
(a,b,c) = (4,6,3): (1,3,2,4) * (1,2,3)(4,5) = (2,5,4)
(a,b,c) = (4,6,4): (1,2,3,6) * (1,2,3)(4,5) = (1,3,6,2)(4,5)
(a,b,c) = (4,6,5): (1,2,3,4) * (1,2,3)(4,5) = (1,3,5,4,2)
(a,b,c) = (4,6,6): (1,2,3,4)(5,6) * (1,2,3)(4,5) = (1,3,5,6,4,2)
(a,b,c) = (4,6,7): (1,4,6,7) * (1,2,3)(4,5) = (1,5,4,6,7,2,3)
(a,b,c) = (4,6,8): (1,4,6,7)(2,8) * (1,2,3)(4,5) = (1,5,4,6,7,2,8,3)
(a,b,c) = (4,7,2): (1,2,3,4)(5,6) * (1,4,3,2,5,7,6) = (1,5)(6,7)
(a,b,c) = (4,7,3): (1,2,3,4)(5,6) * (1,2,3,7,4,5,6) = (1,3,5)(2,7,4)
(a,b,c) = (4,7,4): (1,2,3,4) * (1,4,3,2,5,6,7) = (1,5,6,7)
(a,b,c) = (4,7,5): (1,2,3,4)(5,6) * (1,2,4,3,5,6,7) = (1,4,2,5,7)
(a,b,c) = (4,7,6): (1,2,3,4) * (1,2,4,3,5,6,7) = (1,4,2,5,6,7)
(a,b,c) = (4,7,7): (1,2,3,4)(5,6) * (1,2,3,5,4,6,7) = (1,3,6,4,2,5,7)
(a,b,c) = (4,7,8): (1,2,3,4) * (1,2,3,5,6,7,8) = (1,3,4,2,5,6,7,8)
(a,b,c) = (4,8,2): (1,2,3,4)(5,6) * (1,4,7,3,5,6,2,8) = (1,8)(2,5)(3,7)
(a,b,c) = (4,8,3): (1,2,3,4)(5,6)(7,8) * (1,2,5,4,3,6,7,8) = (1,5,7)(2,6,4)
(a,b,c) = (4,8,4): (1,2,3,4) * (1,3,4,5,2,6,7,8) = (1,6,7,8)(2,4,3,5)
(a,b,c) = (4,8,5): (1,2,3,4) * (1,4,3,2,5,6,7,8) = (1,5,6,7,8)
(a,b,c) = (4,8,6): (1,2,3,4) * (1,2,3,4,5,6,7,8) = (1,3,5,6,7,8)(2,4)
(a,b,c) = (4,8,7): (1,2,3,4) * (1,2,4,3,5,6,7,8) = (1,4,2,5,6,7,8)
(a,b,c) = (4,8,8): (1,2,3,4)(5,6) * (1,6,3,7,5,2,4,8) = (1,4,6,2,7,5,3,8)
(a,b,c) = (5,5,2): (1,2,3,4,5) * (1,2,3,5,4) = (1,3)(2,5)
(a,b,c) = (5,5,3): (1,2,3,4,5) * (1,2,5,4,3) = (1,5,2)
(a,b,c) = (5,5,4): (1,2,3,4,5) * (1,2,3,5,6) = (1,3,4,6)(2,5)
(a,b,c) = (5,5,5): (1,2,3,4,5) * (1,2,3,4,5) = (1,3,5,2,4)
(a,b,c) = (5,5,6): (1,2,3,4,5) * (1,3,6,2,7) = (1,7)(2,6)(3,4,5)
(a,b,c) = (5,5,7): (1,2,3,4,5) * (1,2,3,6,7) = (1,3,4,5,2,6,7)
(a,b,c) = (5,5,8): (1,2,3,4,5) * (1,2,3,5,6)(4,7,8,9,10) = (1,3,7,8,9,10,4,6)(2,5)
(a,b,c) = (5,6,2): (1,3,2,4,5) * (1,2,3)(4,5) = (2,5)
(a,b,c) = (5,6,3): (1,3,4,2,6) * (1,2,3)(4,5)(6,7) = (2,7,6)(3,5,4)
(a,b,c) = (5,6,4): (1,2,3,4,5) * (1,2,3)(4,5) = (1,3,5,2)
(a,b,c) = (5,6,5): (1,3,2,4,6) * (1,2,3)(4,5)(6,7) = (2,5,4,7,6)
(a,b,c) = (5,6,6): (1,2,4,3,5) * (1,2,3)(4,5) = (1,3,4)(2,5)
(a,b,c) = (5,6,7): (1,2,3,4,6) * (1,2,3)(4,5)(6,7) = (1,3,5,4,7,6,2)
(a,b,c) = (5,6,8): (1,4,6,7,8) * (1,2,3)(4,5) = (1,5,4,6,7,8,2,3)
(a,b,c) = (5,7,2): (1,2,3,4,5) * (1,5,4,3,6,2,7) = (1,7)(2,6)
(a,b,c) = (5,7,3): (1,2,3,4,5) * (1,2,3,6,5,4,7) = (1,3,7)(2,6,5)
(a,b,c) = (5,7,4): (1,2,3,4,5) * (1,2,3,5,4,6,7) = (1,3,6,7)(2,5)
(a,b,c) = (5,7,5): (1,2,3,4,5) * (1,2,5,4,3,6,7) = (1,5,2,6,7)
(a,b,c) = (5,7,6): (1,2,3,4,5) * (1,2,3,5,6,4,7) = (1,3,7)(2,5)(4,6)
(a,b,c) = (5,7,7): (1,2,3,4,5) * (1,2,3,4,5,6,7) = (1,3,5,2,4,6,7)
(a,b,c) = (5,7,8): (1,2,3,4,5)(6,7,8,9,10) * (1,2,3,4,5,6,9) = (1,3,5,2,4,6,7,8)(9,10)
(a,b,c) = (5,8,2): (1,7,5,3,2) * (1,2,3,4,5,6,7,8) = (1,8)(4,5)(6,7)
(a,b,c) = (5,8,3): (1,2,3,4,5)(6,7,8,9,10) * (1,2,3,6,10,4,8,9)(5,7) = (1,3,8)(2,6,5)(4,7,9)
(a,b,c) = (5,8,4): (1,2,3,4,5) * (1,2,3,5,6,4,7,8) = (1,3,7,8)(2,5)(4,6)
(a,b,c) = (5,8,5): (1,2,3,4,5) * (1,3,4,2,6,7,8,9)(5,10) = (1,6,7,8,9)(2,4,10,5,3)
(a,b,c) = (5,8,6): (1,2,3,4,5) * (1,2,4,6,7,3,5,8) = (1,4,8)(2,5)(3,6,7)
(a,b,c) = (5,8,7): (1,2,3,4,5)(6,7,8,9,10) * (1,2,3,4,5,6,10,9)(7,8) = (1,3,5,2,4,6,8)
(a,b,c) = (5,8,8): (1,2,3,4,5) * (1,2,3,4,5,6,7,8) = (1,3,5,2,4,6,7,8)
(a,b,c) = (6,6,2): (1,2,3)(4,5) * (1,3,4)(2,5) = (1,5)(2,4)
(a,b,c) = (6,6,3): (1,2,3)(4,5) * (1,2,3)(4,5) = (1,3,2)
(a,b,c) = (6,6,4): (1,2,3)(4,5) * (1,2,4)(5,6) = (1,4,6,5)(2,3)
(a,b,c) = (6,6,5): (1,2,3)(4,5) * (1,2,4)(3,5) = (1,4,3,2,5)
(a,b,c) = (6,6,6): (1,2,3)(4,5) * (1,2,3)(6,7) = (1,3,2)(4,5)(6,7)
(a,b,c) = (6,6,7): (1,2,3)(4,5) * (1,4,6)(2,7) = (1,7,2,3,4,5,6)
(a,b,c) = (6,6,8): (1,2,3)(4,5) * (1,6,7)(2,8)(3,4) = (1,8,2,4,5,3,6,7)
(a,b,c) = (6,7,2): (1,2,3)(4,5) * (1,4,5,3,6,2,7) = (1,7)(2,6)(3,4)
(a,b,c) = (6,7,3): (1,2,3)(4,5)(6,7) * (1,2,4,3,5,6,7) = (1,4,6)(2,5,3)
(a,b,c) = (6,7,4): (1,2,3)(4,5) * (1,3,2,4,5,6,7) = (1,4,6,7)
(a,b,c) = (6,7,5): (1,2,3)(4,5)(6,7) * (1,2,3,4,5,6,7) = (1,3,2,4,6)
(a,b,c) = (6,7,6): (1,2,3)(4,5) * (1,2,3,4,5,6,7) = (1,3,2,4,6,7)
(a,b,c) = (6,7,7): (1,2,3)(4,5)(6,7) * (1,2,3,4,6,5,7) = (1,3,2,4,7,5,6)
(a,b,c) = (6,7,8): (1,2,3)(4,5) * (1,2,6,7,8,3,4) = (1,6,7,8,3,2,4,5)
(a,b,c) = (6,8,2): (1,2,3)(4,5)(6,7) * (1,6,7,3,2,4,8,5) = (1,4)(3,6)(5,8)
(a,b,c) = (6,8,3): (1,2,3)(4,5) * (1,3,4,5,6,2,7,8) = (1,7,8)(2,4,6)
(a,b,c) = (6,8,4): (1,2,3)(4,5) * (1,2,4,3,6,5,7,8) = (1,4,7,8)(2,6,5,3)
(a,b,c) = (6,8,5): (1,2,3)(4,5) * (1,3,2,4,5,6,7,8) = (1,4,6,7,8)
(a,b,c) = (6,8,6): (1,2,3)(4,5) * (1,2,3,4,6,5,7,8) = (1,3,2,4,7,8)(5,6)
(a,b,c) = (6,8,7): (1,2,3)(4,5) * (1,2,3,4,5,6,7,8) = (1,3,2,4,6,7,8)
(a,b,c) = (6,8,8): (1,2,3)(4,5)(6,7) * (1,2,3,4,6,5,7,8) = (1,3,2,4,7,5,6,8)
(a,b,c) = (7,7,2): (1,2,3,4,5,6,7) * (1,2,3,7,6,5,4) = (1,3)(2,7)
(a,b,c) = (7,7,3): (1,2,3,4,5,6,7) * (1,2,3,4,5,7,6) = (1,3,5)(2,4,7)
(a,b,c) = (7,7,4): (1,2,3,4,5,6,7) * (1,2,3,5,7,6,4) = (1,3)(2,5,4,7)
(a,b,c) = (7,7,5): (1,2,3,4,5,6,7) * (1,2,3,4,7,6,5) = (1,3,7,2,4)
(a,b,c) = (7,7,6): (1,2,3,4,5,6,7) * (1,2,3,5,6,7,4) = (1,3)(2,5,7)(4,6)
(a,b,c) = (7,7,7): (1,2,3,4,5,6,7) * (1,2,3,4,5,6,7) = (1,3,5,7,2,4,6)
(a,b,c) = (7,7,8): (1,2,3,4,5,6,7) * (4,8,10,9,5,6,7) = (1,2,3,8,10,9,5,7)(4,6)
(a,b,c) = (7,8,2): (1,2,3,4,5,6,7) * (1,3,4,7,6,5,2,8) = (1,8)(2,4)(3,7)
(a,b,c) = (7,8,3): (1,2,3,4,5,6,7) * (1,9,4,2,5,7,6,8)(3,10) = (1,5,8)(2,10,3)(4,7,9)
(a,b,c) = (7,8,4): (1,2,3,4,5,6,7) * (1,2,3,7,4,5,6,8) = (1,3,5,8)(2,7)(4,6)
(a,b,c) = (7,8,5): (1,2,3,4,5,6,7) * (1,2,9,4,5,6,7,8)(3,10) = (1,9,4,6,8)(2,10,3,5,7)
(a,b,c) = (7,8,6): (1,2,3,4,5,6,7) * (1,2,3,4,7,6,5,8) = (1,3,7,2,4,8)
(a,b,c) = (7,8,7): (1,2,3,4,5,6,7) * (1,2,9,7,6,5,4,8)(3,10) = (1,9,7,2,10,3,8)
(a,b,c) = (7,8,8): (1,2,3,4,5,6,7) * (1,2,3,4,5,6,7,8) = (1,3,5,7,2,4,6,8)
(a,b,c) = (8,8,2): (1,2,3,4,5,6,7,8) * (1,2,3,8,5,6,7,4) = (1,3)(2,8)(4,6)(5,7)
(a,b,c) = (8,8,3): (1,2,3,4,5,6,7,8) * (1,2,3,4,5,8,7,6) = (1,3,5)(2,4,8)
(a,b,c) = (8,8,4): (1,2,3,4,5,6,7,8) * (1,2,3,4,5,6,7,8) = (1,3,5,7)(2,4,6,8)
(a,b,c) = (8,8,5): (1,2,3,4,5,6,7,8) * (1,2,3,4,8,7,6,5) = (1,3,8,2,4)
(a,b,c) = (8,8,6): (1,2,3,4,5,6,7,8) * (1,2,3,4,6,7,8,5) = (1,3,6,8,2,4)(5,7)
(a,b,c) = (8,8,7): (1,2,3,4,5,6,7,8) * (1,2,3,4,5,6,8,7) = (1,3,5,8,2,4,6)
(a,b,c) = (8,8,8): (1,2,3,4,5,6,7,8) * (1,2,3,4,6,9,5,10) = (1,3,6,7,8,2,4,10)(5,9)