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In this post, we look for the existing atlas-like websites providing well-presented classifications or database about some specific areas of mathematics. Here are some examples:

Finite groups of order ≤500, group names, extensions, presentations, properties and character tables.

This ATLAS of Group Representations has been prepared by Robert Wilson, Peter Walsh, Jonathan Tripp, Ibrahim Suleiman, Richard Parker, Simon Norton, Simon Nickerson, Steve Linton, John Bray, and Rachel Abbott (in reverse alphabetical order, because I'm fed up with always being last!). It currently contains information (including 5215 representations) on about 716 groups [mainly finite simple groups or almost simple].

This atlas contains all subgroup lattices of almost simple groups $G$ such that $S≤G≤Aut(S)$ and $S$ is a simple group of order less than 1 million appearing in the Atlas of Finite Groups by Conway et al. Some simple groups and almost simple groups or order larger than 1 million have also been included, but not in a systematic way.

Welcome to the LMFDB, the database of L-functions, modular forms, and related objects. These pages are intended to be a modern handbook including tables, formulas, links, and references for L-functions and their underlying objects [like field extensions and polynomial Galois groups].

The Inverse Symbolic Calculator (ISC) uses a combination of lookup tables and integer relation algorithms in order to associate a closed form representation with a user-defined, truncated decimal expansion (written as a floating point expression). The lookup tables include a substantial data set compiled by S. Plouffe both before and during his period as an employee at CECM.

If you know such a website on any area of mathematics, please put it as an answer (with a short description).

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    $\begingroup$ You might be interested in Bridget Tenner's talk Fingerprinting Richard Stanley. $\endgroup$
    – Timothy Chow
    Mar 7, 2020 at 3:02
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    $\begingroup$ Also in the Notices article "Fingerprint Databases for Theorems" by Tenner and Billey. $\endgroup$
    – Russ Woodroofe
    Mar 10, 2020 at 10:36
  • $\begingroup$ @RussWoodroofe's reference: Billey and Tenner - Fingerprint databases for theorems (why reverse the author names?). $\endgroup$
    – LSpice
    Apr 21, 2020 at 14:59
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    $\begingroup$ An Atlas of Even Primes would fill a much-needed gap in the literature. $\endgroup$
    – Gerry Myerson
    Apr 30, 2020 at 3:53
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    $\begingroup$ @LSpice, I think I put Tenner first because I was replying to Timothy Chow's comment on Tenner's talk. (But you're right, I should've used the canonical order.) $\endgroup$
    – Russ Woodroofe
    May 19, 2020 at 13:29

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You can look at HandWiki https://handwiki.org/ too. It is a dedicated resource for mathematics

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    $\begingroup$ How is that different from Wikipedia? Looking at a few random articles suggests that most or all of the content has been copied from Wikipedia. $\endgroup$
    – Tobias Fritz
    Mar 9, 2020 at 13:22
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