## Results (displaying matches 1-50 of at least 5000) Next

Label Name Order Parity Solvable Subfields Low Degree Siblings
40T1 $C_{40}$ 40 -1 Yes $C_2$, $C_4$, $C_5$, $C_8$, $C_{10}$, 20T1
40T2 $C_2\times C_{20}$ 40 1 Yes $C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_5$, $C_4\times C_2$, $C_{10}$ x 3, 20T1 x 2, 20T3
40T3 $C_5:C_8$ 40 -1 Yes $C_2$, $C_4$, $D_{5}$, $C_8$, $D_5$, 20T2
40T4 $C_2\times C_5:C_4$ 40 1 Yes $C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{5}$, $C_4\times C_2$, $D_5$, $D_{10}$ x 2, 20T2 x 2, 20T4
40T5 $C_5\times Q_8$ 40 1 Yes $C_2$ x 3, $C_2^2$, $C_5$, $Q_8$, $C_{10}$ x 3, 20T3
40T6 $C_5\times D_4$ 40 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $C_5$, $D_4$, $C_{10}$ x 3, 20T3, 20T12 x 2
40T7 $C_2^2\times C_{10}$ 40 1 Yes $C_2$ x 7, $C_2^2$ x 7, $C_5$, $C_2^3$, $C_{10}$ x 7, 20T3 x 7
40T8 $C_5:Q_8$ 40 1 Yes $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8$, $D_5$, $D_{10}$ x 2, 20T4
40T9 $C_4\times D_5$ 40 1 Yes $C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{5}$, $C_4\times C_2$, $D_5$, $D_{10}$ x 2, 20T4, 20T6 x 2
40T10 $C_2^2\times D_5$ 40 1 Yes $C_2$ x 7, $C_2^2$ x 7, $D_{5}$, $C_2^3$, $D_5$, $D_{10}$ x 6, 20T4 x 3, 20T8 x 4
40T11 $C_5:D_4$ 40 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4$, $D_5$, $D_{10}$ x 2, 20T4, 20T7, 20T11
40T12 $D_{20}$ 40 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4$, $D_5$, $D_{10}$ x 2, 20T4, $D_{20}$ x 2
40T13 $C_{10}.C_4$ 40 -1 Yes $C_2$, $C_4$, $F_5$, $C_8$, $F_5$, 20T5
40T14 $C_2\times F_5$ 40 1 Yes $C_2$ x 3, $C_4$ x 2, $C_2^2$, $F_5$, $C_4\times C_2$, $F_5$, $F_{5}\times C_2$ x 2, 20T5, 20T9, 20T13 10T5 x 2
40T15 $C_5\times OD_{16}$ 80 -1 Yes $C_2$, $C_4$, $C_5$, $C_8:C_2$, $C_{10}$, 20T1
40T16 $C_5\times C_2^2:C_4$ 80 1 Yes $C_2$, $C_4$, $D_{4}$ x 2, $C_5$, $C_2^2:C_4$, $C_{10}$, 20T1, 20T12 x 2
40T17 $C_{20}.C_4$ 80 -1 Yes $C_2$, $C_4$, $D_{5}$, $C_8:C_2$, $D_5$, 20T2
40T18 $C_{10}.D_4$ 80 1 Yes $C_2$, $C_4$, $D_{4}$ x 2, $D_{5}$, $C_2^2:C_4$, $D_5$, 20T2, 20T11 x 2
40T19 $C_5\times D_4:C_2$ 80 1 Yes $C_2$ x 3, $C_2^2$, $C_5$, $Q_8:C_2$, $C_{10}$ x 3, 20T3
40T20 $C_{10}\times D_4$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $C_5$, $D_4\times C_2$, $C_{10}$ x 3, 20T3, 20T12 x 2
40T21 $D_4:D_5$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_5$, $D_{10}$ x 2, 20T4
40T22 $D_4\times D_5$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_5$, $D_{10}$ x 2, 20T4, 20T21 x 2
40T23 $D_{20}:C_2$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_5$, $D_{10}$ x 2, 20T4
40T24 $C_2\times C_5:D_4$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_5$, $D_{10}$ x 2, 20T4, 20T11 x 2
40T25 $C_5:OD_{16}$ 80 -1 Yes $C_2$, $C_4$, $F_5$, $C_8:C_2$, $F_5$, 20T5
40T26 $C_2^2:F_5$ 80 1 Yes $C_2$, $C_4$, $D_{4}$ x 2, $F_5$, $C_2^2:C_4$, $F_5$, 20T5, 20T22 x 2
40T27 $C_8\times D_5$ 80 -1 Yes $C_2$, $C_4$, $D_{5}$, $C_8$, $D_{10}$, 20T6
40T28 $C_{40}:C_2$ 80 -1 Yes $C_2$, $C_4$, $D_{5}$, $C_8:C_2$, $D_{10}$, 20T6
40T29 $C_2\times C_4\times D_5$ 80 1 Yes $C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{5}$, $C_4\times C_2$, $D_{10}$ x 3, 20T6 x 2, 20T8
40T30 $D_{10}:C_4$ 80 1 Yes $C_2$, $C_4$, $D_{4}$ x 2, $D_{5}$, $C_2^2:C_4$, $D_{10}$, 20T6, 20T7, $D_{20}$
40T31 $Q_8:D_5$ 80 -1 Yes $C_2$, $D_{4}$, $D_{5}$, $QD_{16}$, $D_{10}$, 20T7
40T32 $C_5:D_8$ 80 -1 Yes $C_2$, $D_{4}$, $D_{5}$, $D_{8}$, $D_{10}$, 20T7
40T33 $C_2\times C_5:D_4$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_{10}$ x 3, 20T7 x 2, 20T8
40T34 $Q_8\times D_5$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8$, $D_{10}$ x 3, 20T8
40T35 $D_4:D_5$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_{10}$ x 3, 20T8
40T36 $D_{10}.C_2^2$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_{10}$ x 3, 20T8
40T37 $D_{20}:C_2$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_{10}$ x 3, 20T8
40T38 $C_2\times D_{20}$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_{10}$ x 3, 20T8, $D_{20}$ x 2
40T39 $D_4\times D_5$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_{10}$ x 3, 20T8, 20T21 x 2
40T40 $D_4\times D_5$ 80 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4$, $D_{10}$ x 3, 20T8, 20T21 x 2
40T41 $C_2^3\times D_5$ 80 1 Yes $C_2$ x 7, $C_2^2$ x 7, $D_{5}$, $C_2^3$, $D_{10}$ x 7, 20T8 x 7
40T42 $D_5:C_8$ 80 -1 Yes $C_2$, $C_4$, $F_5$, $C_8$, $F_5$, 20T9
40T43 $D_{10}.C_4$ 80 -1 Yes $C_2$, $C_4$, $F_5$, $C_8:C_2$, $F_5$, 20T9
40T44 $C_2^2\times F_5$ 80 1 Yes $C_2$ x 3, $C_4$ x 2, $C_2^2$, $F_5$, $C_4\times C_2$, $F_5$, $F_{5}\times C_2$ x 2, 20T9 x 2, 20T13
40T45 $C_2^2:F_5$ 80 1 Yes $C_2$, $C_4$, $D_{4}$ x 2, $F_5$, $C_2^2:C_4$, $F_5$, 20T9, 20T22 x 2
40T46 $D_{40}$ 80 -1 Yes $C_2$, $D_{4}$, $D_{5}$, $D_{8}$, $D_{10}$, $D_{20}$
40T47 $C_8:D_5$ 80 -1 Yes $C_2$, $D_{4}$, $D_{5}$, $QD_{16}$, $D_{10}$, $D_{20}$
40T48 $C_5:D_8$ 80 -1 Yes $C_2$, $D_{4}$, $D_{5}$, $D_{8}$, $D_5$, 20T11
40T49 $C_5:SD_{16}$ 80 -1 Yes $C_2$, $D_{4}$, $D_{5}$, $QD_{16}$, $D_5$, 20T11
40T50 $C_5\times D_8$ 80 -1 Yes $C_2$, $D_{4}$, $C_5$, $D_{8}$, $C_{10}$, 20T12
Next

Results are complete for degrees $\leq 23$.