  We investigate magneto-transport through a 1.6 \mu m wide quantum dot (QD)
with adjacent charge detector, for different integer filling factors in the QD
and constrictions. When this system is operated as a Fabry-P\'erot
interferometer, transport is governed by a Coulomb blockade mechanism. In the
tunneling regime, we can directly measure the charge stability diagram of two
capacitively and tunnel coupled Landau levels. This situation has been
investigated in direct transport, as well as in single electron counting. The
edge states within the dot are non-cyclically depopulated, which can be
explained by a simple capacitive model and allows to draw conclusions about the
edge state geometry within the quantum dot.
