  The canonical group quantization approach has been used to study
noncommutative graphene in the presence of dual magnetic fields. The canonical
group for the phase space $\mathbb{R}^2\times \mathbb{R}^2$ with both symmetric
and Landau dual gauges is shown to be equivalent to $\mathtt{H}^2\rtimes
\mathbb{R}$. The representations of both symmetric and Landau dual gauges lead
to similar canonical commutation relations, and we observe that the energy
spectrum is corrected by both dual magnetic fields, yielding the same result.
