# Sporadic Simple Groups and their Automorphism Groups

This page provides Magma language files for much of the material on Sporadic
groups

available from the Atlas
of Finite Group Representations

## Presentation Code

Presentations on Standard Generators

Procedures to check if given elements are Standard Generators

## Black Box Code

Find Element of Required Order

Procedure to locate element of specified order

Black Box Recognition Procedures

Procedures to locate Standard Generators

## (Maximal) Subgroup Information

Straight-Line Program Interpreter

Converts ATLAS form of a SLP to MAGMA format
Maximal Subgroup Production

Code to produce a list of the maximal subgroups given a group (on
its Standard Generators), its name, and its Maximal Subgroup data record

Maximal Subgroup Records

Stores generators for maximal subgroups

## Conglomerator

Sporadic Conglomerator

Will stick together chosen code from above sections, making copying and pasting much
more fun