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.