Below is a $\mu = 0.01215$ bifurcation plot from E. J. Doedel, E.J. et al's Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem International Journal of Bifurcation and Chaos, Vol. 17, No. 08, pp. 2625-2677 (2007) (paywalled, but also readable in ResearchGate)
Fig. 3. Bifurcation diagram for the Earth–Moon system (μ = 0.01215), showing families of periodic orbits that emanate from the libration points and from subsequent branch points. The red cubes are the libration points. Small white spheres denote branch points, and small dark-red spheres denote collision orbits. The planar families C1, C2, and D1, are only partially represented; in particular, the fact that D1 arises from C1 via a period-doubling bifurcation is not indicated in the diagram. A glossary of the notation used is given in Table 1.
Due to recent insomnia I've written this answer to Where is Artemis on this Earth-Moon three-body bifurcation plot? Where's the near-rectilinear halo orbit for example?
Now I'm looking for a similar answer for butterfly orbits as discussed in @MattB's excellent answer to How does a butterfly orbit move in 3D? Way to generate or visualize?
Question: Where do the butterflies land on this bifurcation plot? (Earth-Moon three-body butterfly orbits)