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)
Download displayed columns for results| Label | Name | Order | Parity | Solvable | $\#\Aut(F/K)$ | Subfields | Low Degree Siblings |
|---|---|---|---|---|---|---|---|
| 20T18 | $C_{20}:C_4$ | $80$ | $-1$ | ✓ | $2$ | $C_2$, $D_{4}$, $F_5$, $F_{5}\times C_2$ | 20T18, 40T52, 40T54 |
| 40T52 | $C_{20}:C_4$ | $80$ | $1$ | ✓ | $8$ | $C_2$ x 3, $C_2^2$, $F_5$, $Q_8$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$ | 20T18 x 2, 40T54 |
| 40T54 | $C_{20}:C_4$ | $80$ | $1$ | ✓ | $8$ | $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $F_5$, $D_4$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$, $C_{20}:C_4$ x 2 | 20T18 x 2, 40T52 |