  Molybdenum disulphide (MoS$_2$) has attracted much interest in recent years
due to its potential applications in a new generation of electronic devices.
Recently, it was shown that thin films of MoS$_2$ can become superconducting
with a highest $T_{c}$ of 10K when the material is heavily gated to the
conducting regime. In this work, using the group theoretical approach, we
determine the possible pairing symmetries of heavily gated MoS$_2$. Depending
on the electron-electron interactions, the material can support an exotic
spin-singlet $p +ip $-wave-like, an exotic spin-triplet s-wave-like and an
conventional spin-triplet $p$-wave pairing phases. Importantly, the exotic
spin-singlet $p+ip$-wave phase is a topological superconducting phase which
breaks time-reversal symmetry spontaneously and possesses chiral Majorana edge
states.
