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We show, using acylindrical hyperbolicity, that a finitely generated group splitting overℤ${\mathbb{Z}}$    cannot be simple. We also obtain SQ-universality in most cases, for instance a balanced group (one where if two powers of an infinite order element are conjugate then they are equal or inverse) which is finitely generated and splits overℤ${\mathbb{Z}}$    must either be SQ-universal or it is one of exactly seven virtually abelian exceptions.

Acylindrical hyperbolicity, non-simplicity and SQ\hbox{-}universality of groups splitting over ℤ