  We consider the fractional quantum Hall effect (FQHE) at the filling factor
$8/17$, where signatures of incompressibility have been observed in the zeroth
Landau level of bilayer graphene. We propose an Abelian state described by the
"$\overline{(8/3)}\bar{2}1^{3}$" parton wave function, where a parton itself
forms an FQHE state. This state is topologically distinct from the $8/17$
Levin-Halperin state, a daughter state of the Moore-Read state. We carry out
extensive numerical exact diagonalization of the Coulomb interaction at 8/17 in
the zeroth Landau level of bilayer graphene but find that our results cannot
conclusively determine the topological order of the underlying ground state. We
work out the low-energy effective theory of the $\overline{(8/3)}\bar{2}1^{3}$
edge and make predictions for experimentally measurable properties of the state
which can tell it apart from the 8/17 Levin-Halperin state.
