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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Results (unique match)

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Label Name Order Parity Solvable $\#\Aut(F/K)$ Subfields Low Degree Siblings
42T42 $C_{42}:C_6$ $252$ $-1$ ✓ $2$ $C_2$, $S_3$, $D_{6}$, $C_7:C_3$, $(C_7:C_3) \times C_2$, $C_{21}:C_6$ 42T42
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