Higher Educations Institutions are autonomous, and are entitled to regulate their own academic affairs and administrative processes. Neither the Minister nor the Department has a role in these internal processes.
While I do not know the individual circumstances, I would strongly advise the student to avail of all the internal appeal processes in the institute in question.
HEIs are public bodies and as such recourse can be sought from the Ombudsman. The Ombudsman provides a free dispute and resolution service.
The contact details for the Ombudsman are as follows
Address: 18 Lower Leeson Street, Dublin 2, D02 HE9
Phone: +353 1 639 560
Email: info@ombudsman.ie