Enrollment of Children into school without other parents consent.

Yes, no, no, nothing.

No they don’t need the permission of both parents. You need to get some advice about what your rights and obligations as a parent separated from your children are, for the benefit of your children yourself and the children’s other parent. I can highly recommend TREOIR. I know it says unmarried parents but they will gladly advise you too.

Yes they can of course.... even if you're not married but are a couple, schools will treat you as a married couple and take that both parents have rights to guardianship. It's a complicated process other wise as fathers who are not married to the mother of their children are not entitled to automatic guardianship.

I thought the whole point of marriage was to conjoin two people into one entity...

Call Saul Eunuch Burke

Is this what this is about, from post 8

I’ve seen this so many times a couple splits up and one side (somehow almost always the man) does everything humanly possible to fcuk with the ex and make their life awkward but ignoring the impact it has on the kids.

OP it looks like you've had a lot of family issues from your previous threads. I would suggest getting professional advice at this stage.

As others have correctly pointed out, any reasonable parents should put their differences aside and act in the best interests of the child or children involved. Sometimes an independent perspective from a trusted third partly can be helpful when deciding on enrolling a child in a school. It is morally inexcusable to use a child as a pawn in a dispute between parents.

But to address your question, on the legitimacy of a school enrolling a child against the wishes of one or other parent, there is an issue there, and the school will be in a difficult position. Why should it carry out the wishes of one parent to the exclusion of the other? (Assuming they were on notice that the other parent was objecting to enrolment)

Some schools in this circumstance will, as a matter of policy, refuse enrolment and advise the parties to reach agreement between themselves first, and if necessary have the matter determined by the courts.

An interesting case below where a father took a case to the WRC on grounds of gender discrimination after the school ignored his wishes when he objected to the enrolment of his child. He succeeded, although I think his case subsequently failed in the circuit court.

https://www.workplacerelations.ie/en/cases/2014/october/dec-s2014-018.html

Indeed, although it seems logical that the parent would make their objections known to the school given that this is all going on under their nose and they are aware of what is transpiring.

In terms of the filling etc. I agree. If you look to wider society it would be impractical to seek the consent of both parents individually for every scenario where the other could possibly raise an objection.