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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 (3 matches)

  displayed columns for results
Label Name Order Parity Solvable Subfields Low Degree Siblings
9T27 $\PSL(2,8)$ $504$ $1$ 28T70, 36T712
28T70 $\PSL(2,8)$ $504$ $1$ 9T27, 36T712
36T712 $\PSL(2,8)$ $504$ $1$ 9T27, 28T70
  displayed columns for results

Results are complete for degrees $\leq 23$.