Single particle orbit:

Finding the ground state configuration

Figure is from Krane's "Introductory Nuclear physics".

The order:
$1g_{7/2} \rightarrow 2d_{5/2} \rightarrow 2d_{3/2} \rightarrow 3s_{1/2} \rightarrow 1h_{11/2}$.

Or equivalently, from

Periodic table in the shell model view:


One of software program to run the Shell model calculation is CoSMO (Continuum Shell Model), written by Dr. Volya from FSU. See the link here.