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The database contains $512{,}597$ groups, including all transitive subgroups of $S_n$, up to conjugation, for $n\leq 47$ and $n\neq 32$. There is also data for groups in degree $32$ of order less than $512$ and greater than $40{,}000{,}000{,}000$.

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

Browse by abstract group: $S_3$ $D_4$ $A_4$ $S_4$ $A_5$ $S_5$ $\GL(3,2)$

A random Galois group from the database.

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Search by Galois group label e.g. 8T14