An atlas of subgroup lattices of finite almost simple groups

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.本图谱收录了所有满足S包含于G且G包含于S的自同构群Aut(S)，且S为康威（Conway）等人所著《有限群图谱》中收录的阶小于100万的单群对应的几乎单群G的子群格。部分阶大于100万的单群与几乎单群亦被收录其中，但未采用系统化的收录方式。

搜集汇总

背景与挑战

背景概述

该数据集收录了有限近单群的子群格，主要覆盖Conway等人《有限群图册》中阶小于100万的单群所对应的近单群，并部分包含更高阶的群。数据集按群族分类提供子群格信息，并附有引用说明和文件获取方式。