The motivation to this question can be found in: How I can define an equivalence relation?
My question is: How I can construct the quotient group related to the equivalence relation defined by copper.hat in the second comment?
2026-04-06 18:06:50.1775498810
How I can construct the quotient group?
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It looks like you think an equivalence relation always gives rise to a quotient group. That is not true, by far -- it happens only when (a) the set your equivalence relation is on already has a group structure, and (b) the equivalence classes just happen to be the cosets of a normal subgroup.
In your previous question even condition (a) fails to hold; there isn't a group structure in sight anywhere. Therefore it doesn't give rise to any quotient group. (Or at least not in any way that is meaningful given what you write in the earlier question).