  On a cubic lattice the zero-momentum meson states have one of 20 possible
Lambda^{PC} combinations where Lambda labels the irreducible representation of
the octahedral group. Each continuum bottomonium state with specific J^{PC}
quantum numbers is contained within one or more of the lattice Lambda^{PC}
states. In this work, bottomonium quark-antiquark operators are constructed for
all 20 lattice Lambda^{PC} combinations which allows many continuum high
angular momentum states to be accessible as ground states of their associated
lattice channels. From a dynamical simulation, realistic results are obtained
for S-, P-, D-, F- and G-wave bottomonium states.
