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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 $\#\Aut(F/K)$ Subfields Low Degree Siblings
4T4 $A_4$ $12$ $1$ $1$ 6T4, 12T4
6T4 $A_4$ $12$ $1$ $2$ $C_3$ 4T4, 12T4
12T4 $A_4$ $12$ $1$ $12$ $C_3$, $A_4$, $A_4$ 4T4, 6T4
  displayed columns for results