As of my last knowledge update in September 2021, there was no significant evidence to suggest that coelacanths exhibit complex social structures or behaviors similar to those observed in some other fish species. Coelacanths are generally solitary and have been primarily studied as individual organisms or in the context of their basic biology, ecology, and conservation.
However, it's important to note that research on coelacanths has been limited, primarily due to their deep-sea habitat, their rarity, and the challenges of studying them in their natural environment. Our understanding of their social behaviors is relatively limited, and more research may be needed to uncover any potential social aspects of their lives.
To learn about the most recent discoveries or updates regarding coelacanths, I recommend checking with scientific literature or institutions specializing in marine biology and ichthyology.