  We present transport measurements of bilayer graphene with 1.38{\deg}
interlayer twist and apparent additional alignment to its hexagonal boron
nitride cladding. As with other devices with twist angles substantially larger
than the magic angle of 1.1{\deg}, we do not observe correlated insulating
states or band reorganization. However, we do observe several highly unusual
behaviors in magnetotransport. For a large range of densities around half
filling of the moir\'e bands, magnetoresistance is large and quadratic. Over
these same densities, the magnetoresistance minima corresponding to gaps
between Landau levels split and bend as a function of density and field. We
reproduce the same splitting and bending behavior in a simple tight-binding
model of Hofstadter's butterfly on a square lattice with anisotropic hopping
terms. These features appear to be a generic class of experimental
manifestations of Hofstadter's butterfly and may provide insight into the
emergent states of twisted bilayer graphene.
