A database of basic algebras for the p-modular group algebras of some of the smaller groups that are catalogued in the Atlas of Finite Groups.

The ATLAS database of finite group representations (283 groups).

Data for creating groups of order 3^8.

Part 1 of the ECLarge database. You do not need these files if you download ECLarge.tar.gz above.

Part 3 of the ECLarge database.

Part 5 of the ECLarge database.

Part 7 of the ECLarge database.

Part 9 of the ECLarge database.

Part 11 of the ECLarge database.

Tables for computing discrete logarithms in finite fields of characteristic 2 (currently complete up to GF(2^440)).

Tables for computing discrete logarithms in finite fields of characteristic 5 (currently complete up to GF(5^203)).

Tables for computing discrete logarithms in finite fields of characteristic p, where p is a small prime greater than 7 (currently covers p up to 97 for many fields).

Databases of small Eulerian graphs.

Databases of small self-complementary graphs.

Databases of small graphs with various properties (simple, Eulerian, planar connected, self-complementary).

A database of automatic groups created from hyperbolic manifolds (currently contains 5389 such automatic groups).

Known inequivalent skew-symmetric Hadamard matrices of degrees 36, 44, and 52.

The classification of all l-reflexive polygons up to index 200. See the included README.txt file for installation instructions.

The extended database of Atkin modular polynomials for primes between 400 and 1000. Note that there are 13 primes between 800 and 1000 that are not in this database.

A database of irreducible QG-modules, where G is a finite group and Q is the rational field (contains most irreducible rational representations of ATLAS groups up to degree 1000).

The classification of all polygons, up to translation and change of basis, that fit inside a [0,7] x [0,7] box. See the included README.txt file for installation instructions.

The classification of all 749,892 nonsingular Fano polytopes in dimension 8. See the included README.txt file for installation instructions.

All transitive permutation groups of degree 32.

Part of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

Part of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

Part of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

Part of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

Part of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

A database containing information about every group G, where S ≤ G ≤ Aut(S) and S is a simple group of order less than 16,000,000, or S is one of M₂₄, HS, J₃, McL, Sz(32), or L₆(2).

Data needed by the elliptic curve primality proving routines.

Data used internally by the integer factorisation routines.

Data used internally by the finite field creation routines.

Data needed by the routines for working with analytic Jacobians of hyperelliptic curves.

A database of interesting lattices.

Databases of classical, canonical, and Atkin modular polynomials.

All primitive permutation groups of degree less than 2500.

A database of small groups, including:

• All groups of order up to 2000, excluding order 1024;
• All groups whose order is the product of at most three primes;
• All groups of order dividing p⁶ for prime p; and
• All groups of order pqⁿ, where qⁿ is a prime power dividing 2⁸, 3⁶, 5⁵, or 7⁴ and p is a prime different to q.

The classification of the semisimple subalgebras of the simple Lie algebras of rank up to 8.

A database of groups with trivial Fitting subgroup, needed for the computation of conjugacy classes of subgroups.