The classification of surfaces with p g = q = 0 isogenous to a product of curves

3 The unmixed case, classification of the groups 16 3.1 The case: A = [2, 3, 7]84, B ∈ N . . . . . . . . . . . . . . . . . 18 3.1.1 A = [2, 3, 7]84, B ∈ N , α(B) ≤ 21 . . . . . . . . . . . . 18 3.1.2 A = [2, 3, 7]84, B ∈ N3, α(B) = 24 . . . . . . . . . . . 19 3.1.3 A = [2, 3, 7]84, B ∈ N3, α(B) = 30 . . . . . . . . . . . 19 3.1.4 A = [2, 3, 7]84, B ∈ N3, α(B) = 36 . . . . . . . . . . . 20 3.1.5 A = [2, 3, 7]84, B ∈ N3, α(B) = 40 . . . . . . . . . . . 20 3.1.6 A = [2, 3, 7]84, B ∈ N3, α(B) = 48 . . . . . . . . . . . 20 3.1.7 A = [2, 3, 7]84, B ∈ N3, α(B) = 84 . . . . . . . . . . . 21 3.2 The case: A = [2, 3, 8]48, B ∈ N . . . . . . . . . . . . . . . . . 21 3.2.1 A = [2, 3, 8]48, B ∈ N3, α(B) = 16 . . . . . . . . . . . 21