| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 20T514 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$-1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$ |
20T514 x 3, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 20T530 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$-1$ |
✓ |
$-1$ |
$74$ |
$F_5$, $(C_2^4 : C_5):C_4$ |
20T514 x 4, 20T530 x 3, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T11336 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $C_4$, $F_5$, $F_5$, $C_2\times F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 3, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T11339 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $C_4$, $F_5$, $F_5$, $C_2\times F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T11360 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$ x 3, $C_2^2$, $F_5$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T11364 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$ x 3, $C_2^2$, $F_5$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T11373 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$ x 3, $C_2^2$, $F_5$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T11378 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$ x 3, $C_2^2$, $F_5$, $F_5$, $F_{5}\times C_2$ x 2, $C_2\times F_5$, $C_2^9.(C_2\times F_5)$ x 2 |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T11390 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $D_{4}$, $F_5$, $F_{5}\times C_2$, $D_{10}:C_4$, $C_2^8.(C_2\times F_5)$, $C_2^9.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 3, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T11391 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $D_{4}$, $F_5$, $F_{5}\times C_2$, $D_{10}:C_4$, $C_2^8.(C_2\times F_5)$, $C_2^9.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 3, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T12858 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$F_5$, $(C_2^4 : C_5):C_4$, $C_2^4:F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T12860 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$F_5$, $(C_2^4 : C_5):C_4$, $C_2^4:F_5$, $C_2^9.(C_2\times F_5)$ x 2 |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 3, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T12876 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_5$, $(C_2^4 : C_5):C_4$, $(C_2^4 : C_5):C_4$, $C_2^4:F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T12878 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$-1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_5$, $(C_2^4 : C_5):C_4$, $(C_2^4 : C_5):C_4$, $C_2^4:F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T12880 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_5$, $(C_2^4 : C_5):C_4$, $(C_2^4 : C_5):C_4$, $C_2^4:F_5$, $C_2^9.(C_2\times F_5)$ x 2 |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T12988 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_5$, $C_2^4:F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T12991 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_5$, $C_2^4:F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T12992 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$-1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_5$, $C_2^4:F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 3, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T13368 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$F_5$, $(C_2^4 : C_5):C_4$, $C_2\wr F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T13429 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $(C_2^4 : C_5):C_4$, $((C_2^4 : C_5):C_4)\times C_2$, 20T131, $C_2^9.(C_2\times F_5)$ x 2 |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T13440 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $(C_2^4 : C_5):C_4$, $((C_2^4 : C_5):C_4)\times C_2$, 20T131, $C_2^9.(C_2\times F_5)$, $C_2^9.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 3, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T13454 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$F_5$, $(C_2^4 : C_5):C_4$, $C_2\wr F_5$, $C_2^9.(C_2\times F_5)$ x 2 |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 3, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T13593 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $(C_2^4 : C_5):C_4$, $((C_2^4 : C_5):C_4)\times C_2$, $C_2\wr F_5$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T13608 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $(C_2^4 : C_5):C_4$, $((C_2^4 : C_5):C_4)\times C_2$, $C_2\wr F_5$, $C_2^9.(C_2\times F_5)$ x 2 |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T14049 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $C_2^6:F_5$, $C_2^8.(C_2\times F_5)$, $C_2^9.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 3, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T14050 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $C_2^6:F_5$, $C_2^8.(C_2\times F_5)$, $C_2^9.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 3, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T14163 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $C_2^8.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163, 40T14167 x 2, 40T14170 x 2, 40T14175 x 2 |
| 40T14167 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $C_2^8.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167, 40T14170 x 2, 40T14175 x 2 |
| 40T14170 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $C_2^8.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170, 40T14175 x 2 |
| 40T14175 |
$C_2^9.(C_2\times F_5)$ |
$20480$ |
$1$ |
✓ |
$-1$ |
$74$ |
$C_2$, $F_5$, $F_{5}\times C_2$, $C_2^8.(C_2\times F_5)$ |
20T514 x 4, 20T530 x 4, 40T11336 x 4, 40T11339 x 2, 40T11360 x 2, 40T11364 x 2, 40T11373 x 2, 40T11378 x 2, 40T11390 x 4, 40T11391 x 4, 40T12858 x 2, 40T12860 x 4, 40T12876 x 2, 40T12878 x 2, 40T12880 x 2, 40T12988 x 2, 40T12991 x 2, 40T12992 x 4, 40T13368 x 2, 40T13429 x 2, 40T13440 x 4, 40T13454 x 4, 40T13593 x 2, 40T13608 x 2, 40T14049 x 4, 40T14050 x 4, 40T14163 x 2, 40T14167 x 2, 40T14170 x 2, 40T14175 |
Results are complete for degrees $\leq 23$.