Their relationship is like this:

Average translational energy+average rotational energy+average vibration energy = average total kinetic energy.

Average total kinetic energy+average vibration potential energy = average internal energy

Average vibration potential energy = average vibration energy

Kinetic energy is evenly distributed according to degrees of freedom. If a molecule has R translational degrees of freedom, S rotational degrees of freedom and T vibrational degrees of freedom, its translational energy, rotational energy and vibrational energy are RKT/2, SKT/2 and TKT/2 respectively. Visible average internal energy = 1/2(r+s+2t)kT.