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The results below are complete, since the LMFDB contains all transitive groups of degree at most 47 (except 32)

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Results (unique match)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
27T390 $C_3\times \SL(2,8)$ $1512$ $1$ $C_3$, $\PSL(2,8)$
  displayed columns for results

Results are complete for degrees $\leq 23$.