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We present a conformal isometry for static extremal black hole solutions inall four-dimensional Einstein-Maxwell-scalar theories with electromagneticduality groups `of type $E_7$'. This includes, but is not limited to, allsupergravity theories with $\mathcal{N}>2$ supersymmetry and all$\mathcal{N}=2$ supergravity theories with symmetric scalar manifolds. Theconformal isometry is valid for arbitrary electromagnetic charge configurationsand relies crucially on the notion of Freudenthal duality.

Freudenthal duality and conformal isometries of extremal black holes