  We classify discrete quantum subgroups in the quantum double of the
$q$-deformation of a compact semisimple Lie group, regarded as the
complexification. We also record their classifications in some variants of
quantum groups. Along the way, we show that quantum doubles of non-Kac type
compact quantum groups do not admit the quantum analog of lattices considered
by Brannan-Chirvasitu-Viselter.
