Let \(G\) be a simple classical algebraic group over an algebraically closed field \(K\) of characteristic \(p\geq 0\) with natural module \(W\). Let \(H\) be a closed subgroup of \(G\) and let \(V\) be a nontrivial \(p\)-restricted irreducible tensor indecomposable rational \(KG\)-module such that the restriction of \(V\) to \(H\) is irreducible.

In this paper the authors classify the triples \((G,H,V)\) of this form, where \(V \neq W,W^{*}\) and \(H\) is a disconnected almost simple positive-dimensional closed subgroup of \(G\) acting irreducibly on \(W\). Moreover, by combining this result with earlier work, they complete the classification of the irreducible triples \((G,H,V)\) where \(G\) is a simple algebraic group over \(K\), and \(H\) is a maximal closed subgroup of positive dimension.