  Flavon models in the literature assume constraints on the components of the
vacuum expectation values (vevs) of flavons, and typically, these constraints
are not fully determined by the residual symmetry group of the set of vevs.
This poses a problem because the general potential of the flavons cannot have a
minimum that leads to such constraints unless additional mechanisms involving
supersymmetry, extra dimensions etc., are invoked. In this paper, we show that
the framework of the auxiliary group naturally results in vevs satisfying the
required constraints, and using it, we construct a type-1 seesaw model with two
right-handed neutrinos, which predicts the ratio of the light neutrino masses
$m_2/m_3=(\sqrt{2}-1)/(\sqrt{2}+1)$ and $\text{TM}_1$ mixing with
$\sin\theta_{13}=\frac{1}{\sqrt{3}}\sin\frac{\pi}{12}$ and
$\sin\delta_\text{CP}=-1$. Our framework posits auxiliary group transformations
which act on the flavons but not on the fermions. We construct the general
renormalizable potential without invoking additional mechanisms and show that
it has a minimum that leads to the required constraints.
