Heisenberg representations ρ of (pro-)finite groups G are by definition irreducible representations of the two-step nilpotent factor group G/C3G. Better known are Heisenberg groups which can be understood as allowing faithful Heisenberg representations. A special feature is that ρ = IndHG(χ H) will be induced by characters (H,χH) of subgroups in multiple ways, where the pairs (H,χH) can be interpreted as maximal isotropic pairs. If F|ℚp is a p-adic number field and G = GF the absolute Galois group then maximal isotropic pairs rewrite as (E,χE), where E|F is an abelian extension and χE:E×→ ℂ× a character. We will consider the extended local Artin-root-number W(ρ,ψ) for those ρ which are essentially tame and express it by a formula not depending on the various maximal isotropic pairs (E,χE) for ρ.