## Results (1-50 of 315842 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
40T1 $C_{40}$ $40$ $-1$ $C_2$, $C_4$, $C_5$, $C_8$, $C_{10}$, $C_{20}$
40T2 $C_2\times C_{20}$ $40$ $1$ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_5$, $C_4\times C_2$, $C_{10}$ x 3, $C_{20}$ x 2, $C_2\times C_{10}$
40T3 $C_5:C_8$ $40$ $-1$ $C_2$, $C_4$, $D_{5}$, $C_8$, $D_5$, $C_5:C_4$
40T4 $C_2\times C_5:C_4$ $40$ $1$ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{5}$, $C_4\times C_2$, $D_5$, $D_{10}$ x 2, $C_5:C_4$ x 2, $D_{10}$
40T5 $C_5\times Q_8$ $40$ $1$ $C_2$ x 3, $C_2^2$, $C_5$, $Q_8$, $C_{10}$ x 3, $C_2\times C_{10}$
40T6 $C_5\times D_4$ $40$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $C_5$, $D_4$, $C_{10}$ x 3, $C_2\times C_{10}$, $C_5\times D_4$ x 2 20T12 x 2
40T7 $C_2^2\times C_{10}$ $40$ $1$ $C_2$ x 7, $C_2^2$ x 7, $C_5$, $C_2^3$, $C_{10}$ x 7, $C_2\times C_{10}$ x 7
40T8 $C_5:Q_8$ $40$ $1$ $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8$, $D_5$, $D_{10}$ x 2, $D_{10}$
40T9 $C_4\times D_5$ $40$ $1$ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{5}$, $C_4\times C_2$, $D_5$, $D_{10}$ x 2, $D_{10}$, $C_4\times D_5$ x 2 20T6 x 2
40T10 $C_2^2\times D_5$ $40$ $1$ $C_2$ x 7, $C_2^2$ x 7, $D_{5}$, $C_2^3$, $D_5$, $D_{10}$ x 6, $D_{10}$ x 3, $C_2^2\times D_5$ x 4 20T8 x 4
40T11 $C_5:D_4$ $40$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4$, $D_5$, $D_{10}$ x 2, $D_{10}$, $C_5:D_4$, $C_5:D_4$ 20T7, 20T11
40T12 $D_{20}$ $40$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4$, $D_5$, $D_{10}$ x 2, $D_{10}$, $D_{20}$ x 2 20T10 x 2
40T13 $C_{10}.C_4$ $40$ $-1$ $C_2$, $C_4$, $F_5$, $C_8$, $F_5$, $F_5$
40T14 $C_2\times F_5$ $40$ $1$ $C_2$ 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, $F_5$, $C_2\times F_5$, $C_2\times F_5$ 10T5 x 2, 20T9, 20T13
40T15 $C_5\times \OD_{16}$ $80$ $-1$ $C_2$, $C_4$, $C_5$, $C_8:C_2$, $C_{10}$, $C_{20}$
40T16 $C_5\times C_2^2:C_4$ $80$ $1$ $C_2$, $C_4$, $D_{4}$ x 2, $C_5$, $C_2^2:C_4$, $C_{10}$, $C_{20}$, $C_5\times D_4$ x 2 40T16
40T17 $C_{20}.C_4$ $80$ $-1$ $C_2$, $C_4$, $D_{5}$, $C_8:C_2$, $D_5$, $C_5:C_4$
40T18 $C_{10}.D_4$ $80$ $1$ $C_2$, $C_4$, $D_{4}$ x 2, $D_{5}$, $C_2^2:C_4$, $D_5$, $C_5:C_4$, $C_5:D_4$ x 2 40T18
40T19 $C_5\times D_4:C_2$ $80$ $1$ $C_2$ x 3, $C_2^2$, $C_5$, $Q_8:C_2$, $C_{10}$ x 3, $C_2\times C_{10}$ 40T19 x 2
40T20 $C_{10}\times D_4$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $C_5$, $D_4\times C_2$, $C_{10}$ x 3, $C_2\times C_{10}$, $C_5\times D_4$ x 2 40T20 x 3
40T21 $D_4:D_5$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_5$, $D_{10}$ x 2, $D_{10}$ 40T21, 40T35
40T22 $D_4\times D_5$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_5$, $D_{10}$ x 2, $D_{10}$, $D_4\times D_5$ x 2 20T21 x 4, 40T22, 40T39 x 2, 40T40 x 2
40T23 $D_{20}:C_2$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_5$, $D_{10}$ x 2, $D_{10}$ 40T37 x 2
40T24 $C_2\times C_5:D_4$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_5$, $D_{10}$ x 2, $D_{10}$, $C_5:D_4$ x 2 40T24, 40T33 x 2
40T25 $C_5:\OD_{16}$ $80$ $-1$ $C_2$, $C_4$, $F_5$, $C_8:C_2$, $F_5$, $F_5$
40T26 $C_2^2:F_5$ $80$ $1$ $C_2$, $C_4$, $D_{4}$ x 2, $F_5$, $C_2^2:C_4$, $F_5$, $F_5$, $C_2^2:F_5$ x 2 20T19 x 2, 20T22 x 2, 40T45, 40T55 x 2
40T27 $C_8\times D_5$ $80$ $-1$ $C_2$, $C_4$, $D_{5}$, $C_8$, $D_{10}$, $C_4\times D_5$ 40T27
40T28 $C_{40}:C_2$ $80$ $-1$ $C_2$, $C_4$, $D_{5}$, $C_8:C_2$, $D_{10}$, $C_4\times D_5$
40T29 $C_2\times C_4\times D_5$ $80$ $1$ $C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{5}$, $C_4\times C_2$, $D_{10}$ x 3, $C_4\times D_5$ x 2, $C_2^2\times D_5$ 40T29 x 3
40T30 $D_{10}:C_4$ $80$ $1$ $C_2$, $C_4$, $D_{4}$ x 2, $D_{5}$, $C_2^2:C_4$, $D_{10}$, $C_4\times D_5$, $C_5:D_4$, $D_{20}$ 40T30
40T31 $Q_8:D_5$ $80$ $-1$ $C_2$, $D_{4}$, $D_{5}$, $QD_{16}$, $D_{10}$, $C_5:D_4$
40T32 $C_5:D_8$ $80$ $-1$ $C_2$, $D_{4}$, $D_{5}$, $D_{8}$, $D_{10}$, $C_5:D_4$ 40T48
40T33 $C_2\times C_5:D_4$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_{10}$ x 3, $C_5:D_4$ x 2, $C_2^2\times D_5$ 40T24 x 2, 40T33
40T34 $Q_8\times D_5$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8$, $D_{10}$ x 3, $C_2^2\times D_5$ 40T34
40T35 $D_4:D_5$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_{10}$ x 3, $C_2^2\times D_5$ 40T21 x 2
40T36 $D_{10}.C_2^2$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_{10}$ x 3, $C_2^2\times D_5$ 40T36 x 2
40T37 $D_{20}:C_2$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_{10}$ x 3, $C_2^2\times D_5$ 40T23, 40T37
40T38 $C_2\times D_{20}$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_{10}$ x 3, $C_2^2\times D_5$, $D_{20}$ x 2 40T38 x 3
40T39 $D_4\times D_5$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_{10}$ x 3, $C_2^2\times D_5$, $D_4\times D_5$ x 2 20T21 x 4, 40T22 x 2, 40T39, 40T40 x 2
40T40 $D_4\times D_5$ $80$ $1$ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4$, $D_{10}$ x 3, $C_2^2\times D_5$, $D_4\times D_5$ x 2 20T21 x 4, 40T22 x 2, 40T39 x 2, 40T40
40T41 $C_2^3\times D_5$ $80$ $1$ $C_2$ x 7, $C_2^2$ x 7, $D_{5}$, $C_2^3$, $D_{10}$ x 7, $C_2^2\times D_5$ x 7 40T41 x 7
40T42 $D_5:C_8$ $80$ $-1$ $C_2$, $C_4$, $F_5$, $C_8$, $F_5$, $C_2\times F_5$ 40T42
40T43 $D_{10}.C_4$ $80$ $-1$ $C_2$, $C_4$, $F_5$, $C_8:C_2$, $F_5$, $C_2\times F_5$
40T44 $C_2^2\times F_5$ $80$ $1$ $C_2$ 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, $C_2\times F_5$ x 2, $C_2\times F_5$ 20T16 x 4, 40T44 x 2, 40T56
40T45 $C_2^2:F_5$ $80$ $1$ $C_2$, $C_4$, $D_{4}$ x 2, $F_5$, $C_2^2:C_4$, $F_5$, $C_2\times F_5$, $C_2^2:F_5$ x 2 20T19 x 2, 20T22 x 2, 40T26, 40T55 x 2
40T46 $D_{40}$ $80$ $-1$ $C_2$, $D_{4}$, $D_{5}$, $D_{8}$, $D_{10}$, $D_{20}$ 40T46
40T47 $C_8:D_5$ $80$ $-1$ $C_2$, $D_{4}$, $D_{5}$, $QD_{16}$, $D_{10}$, $D_{20}$
40T48 $C_5:D_8$ $80$ $-1$ $C_2$, $D_{4}$, $D_{5}$, $D_{8}$, $D_5$, $C_5:D_4$ 40T32
40T49 $C_5:\SD_{16}$ $80$ $-1$ $C_2$, $D_{4}$, $D_{5}$, $QD_{16}$, $D_5$, $C_5:D_4$
40T50 $C_5\times D_8$ $80$ $-1$ $C_2$, $D_{4}$, $C_5$, $D_{8}$, $C_{10}$, $C_5\times D_4$ 40T50
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Results are complete for degrees $\leq 23$.