I think it would be right to split up. Don't blame yourself too harshly for it. You've spent some time close to her and realized that the relationship isn't for you (I assume because you say you have no shared interests). That's not something you could've been expected to know for sure at the beginning of the relationship.

It might hurt her or both of you at first, but in the long run it will save you feelings of frustration, resentment, and boredom.