上げる => to finish doing ~ N3
[上「あ」]げる => Just finished/completed A N3
Time, Situation
の上で(は)/~上 => according to; from the viewpoint of ~ N2
上 => In terms of... N1
Position, perspective
げ => Looks A N2
Adjectival, Descriptions
あげる => ...Up (Upwards) N4
Direction
以上 (の) => Just mentioned above N1
Standard
おかげだ => thanks to... N3
Cause, reason
その上 => besides; in addition; furthermore ~ N3
以上(は) => because; since; seeing that ~ N2
させてあげる => (Allow) N4
Allow
げ => looks like; seems like; appears to ~ N2