TITLE: A catalog of faithful representations of finite groups?
QUESTION [9 upvotes]: I want a reference that catalogs the smallest-dimensional faithful representation of every noteworthy finite group.  Specifically, I want representations on $\mathbb{R}^n$ and $\mathbb{C}^n$.  
Where can I find this reference?
UPDATE: Some have questioned my use of the word "noteworthy."  I really just want this information for as many groups as possible.  Also, the Atlas of Finite Group Representations might very well be an example of the desired reference, but which of the cataloged representations are actually faithful?  And are there other references available that give the information I want for other groups?

REPLY [2 votes]: This isn't quite what you want because of the irreducibility issue, but may be interesting nonetheless: https://people.maths.bris.ac.uk/~matyd/GroupNames/R.html