Miyuki Kannagi

Miyuki Kannagi (神凪 深雪 Kannagi Miyuki) is a Housewife of the Kannagi family, wife of Genma Kannagi and mother of Kazuma Yagami and Ren Kannagi.

Etymology
Miyuki Kannagi is a woman who stated to do things on her own way as stated by Jūgo, when her son was abandoned he tried to get help from her, but she pretty calmly accept the fact and didn't show any intention of opposing it though she regretted the fact that even though Kazuma was good at other things if just he had enough talent in En-Jūtsu he would not have been abandoned, she give Kazuma 10 million yen so he can full fill his needs and wish him good luck.

Genma Kannagi:
It never shown in the series the depth of their relationship but it seems that they are neutral, but Genma cared about her enough to ask Kazuma that if he hates her or not.

Kazuma Yagami:
She has somewhere neutral relationship with Kazuma ,she take the fact pretty cool and lightly when he was banished from the family even when he ask help from her, however she cared enough to give him money he need to support himself and wish him luck before leaving , Kazuma stated like she didn't care much for him he didn't do so either and he doesn't have her , it is unknown how she felt when her son returned becoming very powerful , but she didn't try to even meet him at very least.