Linked taxonomies – how to approach

Hello everybody.

Need your help on how to approach the following task

I have a structure of content like this:

|                Teacher 1 | Teacher 2 | Teacher 3 | Teacher 4 |
School #1
|--Group One-1        X    |           |     X     |           |
|--Group Two-1        X    |     X     |           |           |
|--Group Three-1           |           |           |     X     |
|--Group Four-1            |           |     X     |           |
School #2
|--Group One-2        X    |           |           |           |
|--Group Two-2             |           |           |      X    |
|--Group Three-2           |     X     |     X     |           |
|--Group Four-2       X    |     X     |     X     |      X    |

I.e. there are several “schools” with different “groups/classes” which are led by one or more “teachers”.

What is the best way to organize this structure of data in WordPress to be able to show:

1) Page with description of a class with all teachers for specific class
2) Page with bio of a teacher and list of classes he/she runs
3) List of classes in specific school (I planned to use pages/subpages here)
4) List of all teachers (having photo as thumbnail will be nice)

Thanks for ideas!