Let us look at this arrangement. We might wonder, how does Allah (swt) arrange these people in these verses?
The Speech of Allah (swt) is miraculous, and it is exact as everyone will be fleeing from everyone else at that moment.
Every human being is a brother to another human being; thus, brotherhood is not only limited to brotherhood through kinship. Therefore, Allah (swt) starts with it.
Next, Allah (swt) mentions the mother before the father as the mother is the immediate reason for the existence of a human being. She is also prioritized in mention due to her status and her role. Moreover, the Prophet (saws) has prioritized the mother thrice over the father when he was asked by a man, “Who among people is most deserving of my fine treatment?”
He (saws) said, “Your mother.” He again asked, “Who next?” “Your mother”, the Prophet (saws) replied again. He asked, “Who next?” He (the Prophet) r said again, “Your mother.” He again asked, “Then who?” Thereupon he (saws) said, “Then your father.”
The wife is given precedence over the children, as she comes first before the children and also because there is a possibility that a person dies without having any children.
 Sahih al-Bukhari: The Book of Adab, Chapter: Who is more entitled to the best companionship?, Hadith no. 5626.