Today there have been a lot of updates. There were some unepected problems which will have stopped the main SARAh routines working for much of today. Hopefully, things are fixed – I am sorry for any inconvenience caused New, are tables of irreducible corepresentations and irreducible representations of the double groups, an upgrade to the invariant calculations to use the physically irreducible representation when needed, and application of a symmetrized Kronecker power to show possible couplings between irreducible representations of G(k) for different powers of the primary irreducible representation and a linaer term in the secondary irreducible representation. The latter go up to urder 6 in the primary irreducible representation.