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

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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
$\#\Aut(F/K)$ Transitivity
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Label Name Order Parity Solvable $\#\Aut(F/K)$ Subfields Low Degree Siblings
36T47667 $C_3^7.(C_3^2\wr C_2.D_4)$ $2834352$ $-1$ ✓ $1$ $C_2$, $C_4$, $C_3^2\wr C_2.D_4$ 36T47667 x 2
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