We theoretically study potential unconventional superconductivity in doped AB-type IV-VI semi- conductors, based on a minimal effective model with interaction up to the next-nearest neighbors. According to the experimental implications, we focus on the spin-triplet channels and obtain the superconducting phase diagram with respect to the anisotropy of the Fermi surfaces and the inter- action strength. All the states in the phase diagram are time reversal invariant and are topologically nontrivial. Specifically, in the phase diagram there appear a mirror symmetry protected topological Dirac superconductor phase, a mirror symmetry protected second-order topological superconductor phase, and a full-gap topological superconductor phase with winding number 4. The point group symmetry breaking of each superconducting ground state is also discussed.
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