The present article continues the classification of correlations of finite Desarguesian planes. In [Linear Algebra Appl. 304, No. 1–3, 1–31 (2000; Zbl 0948.51002)] we have presented the correlations with identity companion automorphism which are not polarities, of these planes. Then, in part I–IV of ‘The correlations of finite Desarguesian planes’ [J. Geom. 77, No. 1–2, 61–101 (2003; Zbl
... [Show full abstract] 1029.51014); J. Geom. 82, No. 1–2, 91–134 (2005; Zbl 1107.51004); J. Geom. 83, No. 1–2, 88–120 (2005; Zbl 1107.51005); J. Geom. 86, No. 1–2, 98–139 (2006; Zbl 05102061)], we classified the correlations of planes of order p 2 i (2n+1) , n≠0, with companion automorphism (p 2 i t ), p an odd prime, t≠0. In this paper we discuss the situation in which p=2. This represents a complete classification of the correlations of planes of even nonsquare order (i=0). Some of the correlations of planes of even square order (i≠0) are also covered by the present analysis.