Appears in collection : 2022 - T2 - WS1 - Mapping class groups and Out(Fn)

We prove that any subgroup of Out($F_N$) is either virtually abelian or has a finite index subgroup with an acylindrically hyperbolic quotient. In particular, every subgroup of Out($F_N$) is either virtually abelian or SQ-universal. This is a joint work with Camille Horbez.