My favorite Minami is Kana. <3 It's something about her smiles and frowns, how she wears her most immediate expression! She CLEARLY consciously thinks the most ( I would say Chiaki thinks the most unconsciously, and Haruka's are the least delved into ) and is a fox. Her plots and games are the most intriguing. Her yearning to make Chiaki appreciate her is the emotion emitted I can most relate to in the manga. Whenever she is involved, fun is not far behind. And she has dark hair <3. I should really watch the anime one of these days, yet it is not on my crunchyroll app on my phone. -_-;
About the name specific Minami household...
Spoiler