| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 40T66 |
$\OD_{16}:C_{10}$ |
$160$ |
$-1$ |
✓ |
$3$ |
$55$ |
$C_2$, $C_4$, $C_5$, $(C_8:C_2):C_2$, $C_{10}$, $C_{20}$ |
40T66 |
| 40T67 |
$C_2^3:C_{20}$ |
$160$ |
$1$ |
✓ |
$3$ |
$55$ |
$C_2$, $C_4$, $C_5$, $C_2^3: C_4$, $C_{10}$, $C_{20}$ |
40T71, 40T102 x 2 |
| 40T68 |
$C_{20}.D_4$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $C_4$, $D_{5}$, $(C_8:C_2):C_2$, $D_5$, $C_5:C_4$ |
40T68 |
| 40T69 |
$C_2^3.D_{10}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $C_4$, $D_{5}$, $C_2^3: C_4$, $D_5$, $C_5:C_4$ |
40T73, 40T83 x 2 |
| 40T70 |
$C_{10}.C_2^4$ |
$160$ |
$1$ |
✓ |
$2$ |
$85$ |
$C_2$ x 3, $C_2^2$, $C_5$, $Q_8:C_2^2$, $C_{10}$ x 3, $C_2\times C_{10}$ |
40T70 x 5 |
| 40T71 |
$C_2^3:C_{20}$ |
$160$ |
$-1$ |
✓ |
$3$ |
$55$ |
$C_2$ x 3, $C_2^2$, $C_5$, $C_2^3: C_4$, $C_{10}$ x 3, $C_2\times C_{10}$ |
40T67, 40T102 x 2 |
| 40T72 |
$D_4:D_{10}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$37$ |
$C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2^2$, $D_5$, $D_{10}$ x 2, $D_{10}$ |
40T72, 40T85 x 4 |
| 40T73 |
$C_2^3.D_{10}$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$31$ |
$C_2$ x 3, $C_2^2$, $D_{5}$, $C_2^3: C_4$, $D_5$, $D_{10}$ x 2, $D_{10}$ |
40T69, 40T83 x 2 |
| 40T74 |
$C_2^2.D_{20}$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$31$ |
$C_2$ x 3, $C_2^2$, $D_{5}$, $C_2^3: C_4$, $D_5$, $D_{10}$ x 2, $D_{10}$ |
40T78, 40T94, 40T98 |
| 40T75 |
$C_2^3:F_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$19$ |
$C_2$, $C_4$, $F_5$, $C_2^3: C_4$, $F_5$, $F_5$ |
40T106, 40T130 x 2 |
| 40T76 |
$C_2^3.F_5$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$19$ |
$C_2$, $C_4$, $F_5$, $(C_8:C_2):C_2$, $F_5$, $F_5$ |
40T91 |
| 40T77 |
$D_5\times \OD_{16}$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$40$ |
$C_2$, $C_4$, $D_{5}$, $C_8:C_2$, $D_{10}$, $C_4\times D_5$ |
40T77 |
| 40T78 |
$C_2^2.D_{20}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $C_4$, $D_{5}$, $C_2^3: C_4$, $D_{10}$, $C_4\times D_5$ |
40T74, 40T94, 40T98 |
| 40T79 |
$C_4.D_{20}$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $C_4$, $D_{5}$, $(C_8:C_2):C_2$, $D_{10}$, $C_4\times D_5$ |
40T79 |
| 40T80 |
$D_{10}.D_4$ |
$160$ |
$1$ |
✓ |
$-1$ |
$40$ |
$C_2$, $C_4$, $D_{4}$ x 2, $D_{5}$, $C_2^2:C_4$, $D_{10}$, $C_4\times D_5$, $D_4\times D_5$ x 2 |
40T80 x 7 |
| 40T81 |
$C_{20}.D_4$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$34$ |
$C_2$, $D_{4}$, $D_{5}$, $C_4\wr C_2$, $D_{10}$, $C_5:D_4$ |
40T81 |
| 40T82 |
$D_4:D_{10}$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $D_{4}$, $D_{5}$, $Z_8 : Z_8^\times$, $D_{10}$, $C_5:D_4$ |
40T82 |
| 40T83 |
$C_2^3.D_{10}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $D_{4}$, $D_{5}$, $C_2^3 : C_4 $, $D_{10}$, $C_5:D_4$ |
40T69, 40T73, 40T83 |
| 40T84 |
$D_{10}:D_4$ |
$160$ |
$1$ |
✓ |
$-1$ |
$34$ |
$C_2$, $D_{4}$ x 3, $D_{5}$, $C_2^2 \wr C_2$, $D_{10}$, $C_5:D_4$, $D_4\times D_5$ x 2 |
40T84 x 7 |
| 40T85 |
$D_4:D_{10}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$37$ |
$C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2^2$, $D_{10}$ x 3, $C_2\times D_{10}$ |
40T72 x 2, 40T85 x 3 |
| 40T86 |
$D_4:D_{10}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$40$ |
$C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2$, $D_{10}$ x 3, $C_2\times D_{10}$ |
40T86 x 5 |
| 40T87 |
$D_4:D_{10}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$37$ |
$C_2$ x 3, $C_2^2$, $D_{5}$, $Q_8:C_2^2$, $D_{10}$ x 3, $C_2\times D_{10}$ |
40T87 x 5 |
| 40T88 |
$D_4\times D_{10}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$40$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_{5}$, $D_4\times C_2$, $D_{10}$ x 3, $C_2\times D_{10}$, $D_4\times D_5$ x 2 |
40T88 x 15 |
| 40T89 |
$D_5:\OD_{16}$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$28$ |
$C_2$, $C_4$, $F_5$, $C_8:C_2$, $F_5$, $C_2\times F_5$ |
40T89 |
| 40T90 |
$D_{10}.D_4$ |
$160$ |
$1$ |
✓ |
$-1$ |
$19$ |
$C_2$, $C_4$, $F_5$, $C_2^3: C_4$, $F_5$, $C_2\times F_5$ |
40T107, 40T129 x 2 |
| 40T91 |
$C_2^3.F_5$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$19$ |
$C_2$, $C_4$, $F_5$, $(C_8:C_2):C_2$, $F_5$, $C_2\times F_5$ |
40T76 |
| 40T92 |
$C_2^3:F_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$28$ |
$C_2$, $C_4$, $D_{4}$ x 2, $F_5$, $C_2^2:C_4$, $F_5$, $C_2\times F_5$, $D_{10}:C_4$ x 2 |
40T92 x 3, 40T108 x 4, 40T116 x 4 |
| 40T93 |
$D_{20}:C_4$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$34$ |
$C_2$, $D_{4}$, $D_{5}$, $C_4\wr C_2$, $D_{10}$, $D_{20}$ |
40T93 |
| 40T94 |
$C_2^2.D_{20}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $D_{4}$, $D_{5}$, $C_2^3 : C_4 $, $D_{10}$, $D_{20}$ |
40T74, 40T78, 40T98 |
| 40T95 |
$C_8:D_{10}$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $D_{4}$, $D_{5}$, $Z_8 : Z_8^\times$, $D_{10}$, $D_{20}$ |
40T95 |
| 40T96 |
$C_2^2:D_{20}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$34$ |
$C_2$, $D_{4}$ x 3, $D_{5}$, $C_2^2 \wr C_2$, $D_{10}$, $D_{20}$, $D_4\times D_5$ x 2 |
40T96 x 7 |
| 40T97 |
$D_{20}:C_4$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$46$ |
$C_2$, $D_{4}$, $D_{5}$, $C_4\wr C_2$, $D_5$, $C_5:D_4$ |
40T97 |
| 40T98 |
$C_2^2.D_{20}$ |
$160$ |
$1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $D_{4}$, $D_{5}$, $C_2^3 : C_4 $, $D_5$, $C_5:D_4$ |
40T74, 40T78, 40T94 |
| 40T99 |
$D_{20}:C_2^2$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$31$ |
$C_2$, $D_{4}$, $D_{5}$, $Z_8 : Z_8^\times$, $D_5$, $C_5:D_4$ |
40T99 |
| 40T100 |
$C_2^4:D_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$46$ |
$C_2$, $D_{4}$ x 3, $D_{5}$, $C_2^2 \wr C_2$, $D_5$, $C_5:D_4$ x 3 |
40T100 x 7 |
| 40T101 |
$D_8:C_{10}$ |
$160$ |
$-1$ |
✓ |
$3$ |
$55$ |
$C_2$, $D_{4}$, $C_5$, $Z_8 : Z_8^\times$, $C_{10}$, $C_5\times D_4$ |
40T101 |
| 40T102 |
$C_2^3:C_{20}$ |
$160$ |
$1$ |
✓ |
$3$ |
$55$ |
$C_2$, $D_{4}$, $C_5$, $C_2^3 : C_4 $, $C_{10}$, $C_5\times D_4$ |
40T67, 40T71, 40T102 |
| 40T103 |
$D_4:C_{20}$ |
$160$ |
$-1$ |
✓ |
$3$ |
$70$ |
$C_2$, $D_{4}$, $C_5$, $C_4\wr C_2$, $C_{10}$, $C_5\times D_4$ |
40T103 |
| 40T104 |
$C_2^4:C_{10}$ |
$160$ |
$1$ |
✓ |
$2$ |
$70$ |
$C_2$, $D_{4}$ x 3, $C_5$, $C_2^2 \wr C_2$, $C_{10}$, $C_5\times D_4$ x 3 |
40T104 x 7 |
| 40T105 |
$D_{10}.C_2^3$ |
$160$ |
$1$ |
✓ |
$-1$ |
$28$ |
$C_2$ x 3, $C_2^2$, $F_5$, $Q_8:C_2$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$ |
40T105, 40T114 x 4 |
| 40T106 |
$C_2^3:F_5$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$19$ |
$C_2$ x 3, $C_2^2$, $F_5$, $C_2^3: C_4$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$ |
40T75, 40T130 x 2 |
| 40T107 |
$D_{10}.D_4$ |
$160$ |
$-1$ |
✓ |
$-1$ |
$19$ |
$C_2$ x 3, $C_2^2$, $F_5$, $C_2^3: C_4$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$ |
40T90, 40T129 x 2 |
| 40T108 |
$C_2^3:F_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$28$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $F_5$, $D_4\times C_2$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$, $D_{10}:C_4$ x 2 |
40T92 x 4, 40T108 x 3, 40T116 x 4 |
| 40T109 |
$D_4\times F_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$25$ |
$C_2$ x 3, $C_2^2$, $F_5$, $Q_8:C_2$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$ |
20T42 x 4, 40T109, 40T110 x 2, 40T112, 40T118 x 2, 40T119 x 2 |
| 40T110 |
$D_4\times F_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$25$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $F_5$, $D_4\times C_2$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$, $D_4\times F_5$ x 2 |
20T42 x 4, 40T109 x 2, 40T110, 40T112, 40T118 x 2, 40T119 x 2 |
| 40T111 |
$Q_8\times F_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$25$ |
$C_2$ x 3, $C_2^2$, $F_5$, $Q_8$, $F_{5}\times C_2$ x 3, $C_2^2\times F_5$ |
40T111, 40T113 x 3 |
| 40T112 |
$D_4\times F_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$25$ |
$C_2$ x 3, $C_2^2$, $F_5$, $Q_8:C_2$, $F_{5}\times C_2$ x 3, $C_2^2\times F_5$ |
20T42 x 4, 40T109 x 2, 40T110 x 2, 40T118 x 2, 40T119 x 2 |
| 40T113 |
$Q_8\times F_5$ |
$160$ |
$1$ |
✓ |
$-1$ |
$25$ |
$C_2$ x 3, $C_2^2$, $F_5$, $Q_8:C_2$, $F_{5}\times C_2$ x 3, $C_2^2\times F_5$ |
40T111 x 2, 40T113 x 2 |
| 40T114 |
$D_{10}.C_2^3$ |
$160$ |
$1$ |
✓ |
$-1$ |
$28$ |
$C_2$ x 3, $C_2^2$, $F_5$, $Q_8:C_2$, $F_{5}\times C_2$ x 3, $C_2^2\times F_5$ |
40T105 x 2, 40T114 x 3 |
| 40T115 |
$D_{10}.D_4$ |
$160$ |
$1$ |
✓ |
$-1$ |
$28$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $F_5$, $D_4\times C_2$, $F_{5}\times C_2$ x 3, $C_2^2\times F_5$, $C_{20}:C_4$ x 2 |
40T115 x 3 |
Results are complete for degrees $\leq 23$.
