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The observed neutrino mixing, having a near maximal atmospheric neutrinomixing angle and a large solar mixing angle, is close to tri-bi-maximal. Thisstructure may be related to the existence of a discrete non-Abelian familysymmetry.  In this paper the family symmetry is the non-Abelian discrete group$\Delta(27)$, a subgroup of $SU(3)$ with triplet and anti-tripletrepresentations. Different frameworks are constructed in which the mixingfollows from combining fermion mass terms with the vacuum structure enforced bythe discrete symmetry. Mass terms for the fermions originate from familontriplets, anti-triplets or both. Vacuum alignment for the family symmetrybreaking familons follows from simple invariants.

$\Delta(27)$ family symmetry and neutrino mixing