The kid would be different in terms of social standing. Having Hermione, a war hero, and Draco, from an old pure - blood family, as parents means they have a complex background. They would be both respected and feared in a way. Some students might envy their powerful parents, while others might be suspicious of their Slytherin - Gryffindor heritage. This would make their Hogwarts experience full of both advantages and challenges that other students don't have.
Well, they'd likely be different because of their unique family background. Their parents' relationship was so unexpected that their children would be a novelty. They might have a different view of house rivalries compared to other students. Since their parents overcame the Slytherin - Gryffindor divide, they could be more open - minded about the other houses and form friendships more easily across those boundaries.
For Harry, his relationship with Neville could change. Neville might be a bit envious of Harry's new friendship with Draco, thinking that Harry is abandoning his Gryffindor roots. However, as Harry and Draco's friendship proves to be positive, Neville could come around. Draco, on the other hand, might distance himself from some of his more bigoted Slytherin peers. His new connection with Harry makes him more inclusive, and this might make some Slytherins who are on the fence about pure - blood supremacy start to question their beliefs.
Since Harry and Ginny have both been through so much, their child could have a different perspective on danger and heroism. They might be more fearless in the face of dark magic because they've grown up hearing their parents' stories. Also, they could inherit some of Harry's Parseltongue ability, which is very rare among Hogwarts students.
Draco's relationship with other Slytherins might change. Usually, Draco is a leader among them, but with Sol around, some Slytherins might be divided in their loyalty. Some might side with Draco as they always have, while others could be drawn to Sol's different personality. Sol might be more friendly towards students from other houses, like Gryffindors. This could put him at odds with some of the more traditional Slytherins, including Draco at first. For example, Sol could be friends with a Muggle - born Gryffindor, which would shock Draco and cause some tension between the brothers.
At first, their relationship might be full of confusion and denial. Draco, coming from a pure - blood supremacist family, would struggle to accept a Muggle - born sister. Hermione, on the other hand, would be shocked but also curious. As time goes by, they might start to secretly help each other. For example, Draco could give Hermione some insights into the Slytherin way of thinking, and Hermione could help Draco with his studies.
Some students might be shocked. The Gryffindors, especially Hermione's friends, would be very surprised as Draco has been their rival for so long. They might initially be against it, but later come to accept it if they see how happy Hermione is.
Often, Hermione is shown as the intelligent and determined one. She might be the driving force behind solving a problem that involves Draco and the professors. The professors can be portrayed in different lights. Some fanfictions might show Snape as having a more sympathetic side when dealing with Draco and Hermione's situation. And Draco may be seen as a complex character who is trying to redeem himself in the eyes of the Hogwarts community, which includes the professors.
The child might be different because of the unique combination of Harry and Hermione's genes. For instance, they could have an uncanny ability to solve complex magical problems quickly, drawing on Hermione's logical thinking and Harry's quick - wittedness in dangerous situations.
Some students might be sympathetic. Harry, for instance, could put aside their past differences and offer support. He might bring Draco some of his favorite wizarding treats from Hogsmeade.
Her heritage would set her apart. Harry Potter is a well - known hero, but her father being Hades is something very different. This would make her an outcast in some ways. She might have a different view of magic, seeing it as something more primal and connected to the cycle of life and death compared to the more traditional spells that other students learn.