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  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
45T929 $A_5\times S_3\wr S_3$ $77760$ $-1$ $S_3$, $A_5$, $S_3\wr S_3$, $A_5 \times S_3$
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Results are complete for degrees $\leq 23$.