Abstract: We consider three of Knuth′s four classes of semi‐fields Knuth [11] namely, those having dimension 2 over a nucleus and show that the autotopism group is solvable (Corollary 4.12). This generalizes a result of Hughes [5]. We also show that for semi‐fields of dimension 2 over a nucleus, the number of pairwise non‐isomorphic isotopic images is at least 5 (Corollary 5.1.1). This generalizes a result in [10].