  We use the large $N$ critical point formalism to compute $d$-dimensional
critical exponents at several orders in $1/N$ in an Ising Gross-Neveu
universality class where the core interaction includes a Lie group generator.
Specifying a particular symmetry group or taking the abelian limit of the final
exponents recovers known results but also provides expressions for any Lie
group or fermion representation.
