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Label Name Order Parity Solvable Subfields Low Degree Siblings
36T34190 $(C_2^3\times C_6^3).C_6^2:D_6$ $746496$ $-1$ $S_3$, $S_3\wr S_3$, $C_2^2:A_4^2:D_6$
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Results are complete for degrees $\leq 23$.