As in the comments, I guess you can find the detail explanation in a thesaurus dictionary.
In case you have trouble in understanding a dictionary, my interpretation goes
根底 is foundation used in thought like philosophy.
The influence of Plato and Socrates is present in the foundation of western philosophy
基盤 is a base used in information technology, infranstrature, finances.
I feel like it’s like referring to a network itself...
基礎 and 基本 may be interchange though, for example, playing volleyball, you do a toss, receive and attack. They are (basic)基本 of volleyball.Without this, you are going against the rule.
Practicing technique of how to toss, how to receive and how to attack is 基礎 of volleyball.