Groups whose orders factorise into at most four primes

Heiko Dietrich, Bettina Eick, Xueyu Pan

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)


The groups whose orders factorise into at most four primes have been described (up to isomorphism) in various papers. Given such an order n, this paper exhibits a new explicit and compact determination of the isomorphism types of the groups of order n together with effective algorithms to enumerate, construct, and identify these groups. The algorithms are implemented for the computer algebra system GAP.

Original languageEnglish
Pages (from-to)23-40
Number of pages18
JournalJournal of Symbolic Computation
Publication statusPublished - Jan 2022


  • Group determination
  • Group enumeration
  • SmallGroup database

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