Non-standard Numerals and Letters

I am new to designing fonts and was wondering if anyone out there might be able to answer my question: when designing a font what are the typical characters that are included in the superscript, subscript, numerators, denominators and ordinals and scientific inferiors?

Typically Adobe include the characters included in the image attached (where red text shows the text that changed when applying that style), however, I am wondering if there are any more that should be added? Also what is the difference between Subscript and Inferior and Superscript and Superior? I would be grateful for any feedback. Thank you.