  We investigate the two-dimensional conformal field theories (CFTs) of
$c=\frac{47}{2}$, $c=\frac{116}{5}$ and $c=23$ `dual' to the critical Ising
model, the three state Potts model and the tensor product of two Ising models,
respectively. We argue that these CFTs exhibit moonshines for the double
covering of the baby Monster group, $2\cdot \mathbb{B}$, the triple covering of
the largest Fischer group, $3\cdot \text{Fi}_{24}'$ and multiple-covering of
the second largest Conway group, $2\cdot 2^{1+22} \cdot \text{Co}_2$. Various
twined characters are shown to satisfy generalized bilinear relations involving
Mckay-Thompson series. We also rediscover that the `self-dual' two-dimensional
bosonic conformal field theory of $c=12$ has the Conway group
$\text{Co}_{0}\simeq2\cdot\text{Co}_1$ as an automorphism group.
