There is data for every transitive subgroup of $S_n$, up to conjugation, for $n\leq 47$ and $n\neq 32$. For transitive subgroups of $S_{32}$, there is data for all groups $G$ where either $|G|<512$ or $|G|> 40{,}000{,}000{,}000$, plus some other groups of intermediate sizes when they appear elsewhere in the LMFDB.

For most groups, sibling and resolvent information is given for subgroups of index $\leq 47$. In some cases, this information was only computed with smaller bounds, and the individual group pages so indicate. If sibling information for a subgroup of $S_n$ was only computed to a bound less than $n$, then there is no information on arithmetic equivalence.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by John Jones on 2020-10-09 13:41:32

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**History:**(expand/hide all)

- 2020-10-09 13:41:32 by John Jones (Reviewed)
- 2019-07-01 11:25:50 by Andrew Sutherland (Reviewed)
- 2019-06-27 10:06:37 by John Jones
- 2019-06-27 10:02:51 by John Jones
- 2018-10-19 15:01:10 by John Jones

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