させてあげる => (Allow) N4
Allow
あげる => ...Up (Upwards) N4
Direction
上げる => to finish doing ~ N3
てあげる => Help, do for N4
Give and take advice
[上「あ」]げる => Just finished/completed A N3
Time, Situation
てさしあげる => Do for N4
Give and take advice
せいにする => Blame... N2
Cause, reason
てあげる => to do for; to do a favor N5
てさしあげる => to do something for somebody N4
Respectful, humble
てみせる => I'll show you ~ N4
Purpose, target
姿を見せる => figure; appearance N3
Ability
させてくれる => Let me... N4
Allow