The database contains 4,953 groups, including all transitive subgroups of $S_n$, up to conjugation, for $n\leq 23$.

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 Parity Cyclic Solvable Primitive All Odd Even All Yes No All Yes No All Yes No
Degree: e.g. 6 or 4,6 or 2..5 or 4,6..8
$t$ : e.g. 6 or 4,6 or 2..5 or 4,6..8
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 Search by label a Galois group label, e.g. 6T3