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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (14 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 $C_{10}:C_4$ $40$ $1$ ✓ $C_2$ 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 $C_2\times D_{10}$ $40$ $1$ ✓ $C_2$ x 7, $C_2^2$ x 7, $D_{5}$, $C_2^3$, $D_5$, $D_{10}$ x 6, $D_{10}$ x 3, $C_2\times D_{10}$ 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 $C_5:C_8$ $40$ $-1$ ✓ $C_2$, $C_4$, $F_5$, $C_8$, $F_5$, $F_5$
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
  displayed columns for results

Results are complete for degrees $\leq 23$.