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

Browse Galois groups

Browse by degree $n$ : 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Browse by type: Odd Even Cyclic Non-cyclic Solvable Non-solvable Primitive Imprimitive

Search

Parity Cyclic Solvable Primitive
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
Maximum number of groups to display:

Find a specific Galois group

Search by label a Galois group label, e.g. 6T3