Monster Anatomy.

We investigate the two-dimensional conformal field theories (CFTs) of $c=\frac{116}{5}$ and $c=23$ `dual' to the three state Potts model and the tensor product of two Ising models, respectively. We argue that these CFTs exhibit moonshines for the triple covering of the largest Fischer group, $3\cdot \text{Fi}_{24}'$ and multiple-covering of the second largest Conway group, $2\cdot 2^{1+22} \cdot \text{Co}_2$. We also rediscover that the `self-dual' two-dimensional bosonic conformal field theory of $c=12$ has the Conway group $\text{Co}_{0}\simeq 2\cdot\text{Co}_1$ as an automorphism group.