Monogenic sextic trinomials x6+Ax3+B and their Galois groups

Let f(x)=x6+Ax3+B∈Z[x], with A≠0, and suppose that f(x) is irreducible over Q. We define f(x) to be monogenic if {1,θ,θ2,θ3,θ4,θ5} is a basis for the ring of integers of Q(θ), where f(θ)=0. For each possible Galois group G of f(x) over Q, we use a theorem of Jakhar, Khanduja and Sangwan to give explicit descriptions of all monogenic trinomials f(x) having Galois group G. We also investigate when these trinomials generate distinct sextic fields.