  Analyzing the vacuum of the Higgs field reveals that it must have a finite
symmetry. It is proposed that this finite symmetry is the Fisher-Griess monster
$\mathbb{M}$ symmetry. Particularly, it is reported that the initial state of
an unbroken $\mathbb{M}\times \mathbb{M}$ supersymmetry produces a mass of $1.1
\times 10^{19}$ GeV whereas the final state of a fully-broken $\mathbb{M}\times
\mathbb{M}$ produces 125.4 GeV (comparable to the Planck scale $1.2 \times
10^{19}$ GeV and the Higgs boson (electroweak) scale 125.1 GeV). Also, it is
shown that breaking $Weyl(E_8)\times Weyl(E_8)$ supersymmetry yields a scale of
$4.4 \times 10^{16} \rm\:$GeV (comparable to the GUT scale of $2 \times 10^{16}
\rm\:$GeV). Based on such evidence, therefore, the monster CFT partition
function (i.e., modular invariant j-function) and the monster SCFT partition
function are addressed. Next, by the Lee-Young theory, the phase transition
with spontaneous symmetry breaking in the model, due to the condensation of
zeros of the partition function along the unit circle, is explained. Afterward,
addressing the well-known connection between the j-function and the Riemann
zeta function, a match between the critical temperature of the model and the
Boltzmann factor (fugacity) corresponding to the first nontrivial zero of the
zeta function is reported (i.e., $T^{\ast}\cong e^{i \pi \zeta_1}$) and
interpreted. Then, noting the evidence of a $\mathbb{M}$ symmetry for the Higgs
field, first, the massless Photon is introduced as its trivial centralizer (the
identity element $\mathbb{1}$). Finally, based on some relationships in the
sporadic groups, the other 25 sporadic groups are suggested as the symmetries
for the fields of 25 elementary particles (including the graviton and another
particle, seemingly a leptoquark).
