Third nerve palsy (oculomotor nerve) can have varying signs & symptoms depending on the aetiology.
A painful unilateral third nerve palsy suggests a posterior communicating artery aneurysm this requires urgent Neurological assessment.
Diabetes and hypertension often cause microvascular palsy that spares the pupil.
Other causes:
Reproduced from Ptosis, Kate Ahmed, Mark Wright, Christian J Lueck, Pract Neurol 2011;11:332. BMJ Publishing Group Ltd
The lateral rectus is supplied by the 6th nerve
The superior oblique is supplied by the 4th nerve
The superior oblique and lateral rectus work unopposed to produce a exo hypo deviation so the eye takes a down and out position +/- a dilated pupil. (see above)