Groups with at most twelve subgroups

Abstract

We classify all of the groups with twelve or fewer subgroups. This paper is the proof of the entries in a submission to the Online Encyclopedia of Integer Sequences.

arXiv commentThis revision corrects the oversight of $D_8$ in the summary of groups with 10 subgroups. This changes the 10th term in the sequence of groups with $G=\tilde{G}$ from 8 to 9 and the 10th term in the (OEIS) full sequence of similarity classes from 11 to 12. The error was found by Betz and Nash

Cited by in corpus (1)

• Classifying groups with a small number of subgroups