How are things alphabetized in Japanese when you’re dealing multiple different writing systems?

So I'm visiting Japan, and I like to look through CDs and records. The problem I've come across is I have no idea how things are ordered and I don't really speak enough to ask. I was able to look up the way Hiragana and Katakana were ordered easily enough, my question is how is this applied when you have artists (including some Japanese ones) who use English words for their group name? What about Kanji, how's that ordered?

If I hypothetically had three groups with the same name, but one written with Hiragana, one with Kanji, and one in English (which I know doesn't really make sense but just go with the hypothetical), would they be right next to each other or in different sections?

Thanks for any help.