The theory of group classifications has undergone significant changes in the past 25 years. New methods have been introduced, some difficult problems have been solved and group classifications have become widely available through computer algebra systems. This survey describes the state of the art of the group classification problem, its history, its recent advances and some open problems.

中文翻译：

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有限群的分类：最近的发展和开放的问题

群体分类理论在过去 25 年中发生了重大变化。引入了新的方法，解决了一些困难的问题，并且通过计算机代数系统广泛使用群分类。本调查描述了群体分类问题的最新进展、历史、最新进展和一些未解决的问题。