“…Next, |G| = 2µp must be a multiple of the order of some non-abelian simple group H, with |H| ≤ |G| ≤ 84 • 83 = 6972. There are exactly thirteen such simple groups, namely A n for n ∈ {5, 6, 7}, PSL(2, q) for q ∈ {7, 8, 11, 13,16,17,19,23], PSL (3,3) and PSU(3, 3), with orders 60, 360, 2520, 168, 504, 660, 1092, 4080, 2448, 3420, 6072, 5616 and 6048 respectively. (This may be checked at numerous online references; for an article reference pre-dating the Classification of Finite Simple Groups see [16].…”