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Results (49 matches)
Download displayed columns for results| Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
|---|---|---|---|---|---|---|
| 16T713 | $\PGL(2,7)$ | $336$ | $1$ | $C_2$, $\PGL(2,7)$ | 8T43, 14T16, 21T20, 24T707, 28T42, 28T46, 42T81, 42T82, 42T83 | |
| 16T714 | $C_2\times \GL(3,2)$ | $336$ | $1$ | $C_2$, $\PSL(2,7)$ | 14T17 x 2, 14T19 x 2, 28T43 x 2, 42T78, 42T79, 42T80 x 2 | |
| 16T715 | $\SL(2,7)$ | $336$ | $1$ | $\PSL(2,7)$ | ||
| 16T1035 | $C_2\times \PGL(2,7)$ | $672$ | $1$ | $C_2$, $\PGL(2,7)$ | 16T1035, 28T80, 28T81, 32T34612, 42T130 x 2, 42T131 x 2 | |
| 16T1036 | $\SL(2,7):C_2$ | $672$ | $-1$ | $\PGL(2,7)$ | 16T1036, 32T34613 | |
| 16T1080 | $C_2^4:A_5$ | $960$ | $1$ | 16T1080 x 3, 20T175, 20T176 x 3, 30T210 x 3, 30T216, 40T943 x 3 | ||
| 16T1081 | $C_2^4:A_5$ | $960$ | $1$ | 10T34, 20T172, 20T177, 30T214, 30T217, 40T888, 40T889, 40T932, 40T942, 40T944, 40T945 | ||
| 16T1328 | $C_2^4:S_5$ | $1920$ | $1$ | 10T37, 10T38, 20T218, 20T219, 20T222, 20T223, 20T226, 30T329, 30T332, 30T333, 30T341, 32T97736, 40T1581, 40T1582, 40T1583, 40T1584, 40T1587, 40T1588, 40T1595, 40T1596, 40T1658, 40T1659, 40T1676, 40T1677, 40T1678 | ||
| 16T1329 | $C_2^4:S_5$ | $1920$ | $1$ | 16T1329, 20T217, 20T221, 30T338, 30T340, 30T343, 30T347, 32T97734, 32T97737 x 2, 40T1657, 40T1661, 40T1674, 40T1675 | ||
| 16T1504 | $C_2^4:\GL(3,2)$ | $2688$ | $1$ | $C_2$, $C_2^3:\GL(3,2)$ | 14T43 x 2, 16T1504, 28T232 x 2, 28T233, 28T234 x 2, 42T328 x 2, 42T329 x 2 | |
| 16T1505 | $C_2^4:\GL(3,2)$ | $2688$ | $1$ | $C_2$ | 28T218, 28T224 | |
| 16T1506 | $C_2^4:\GL(3,2)$ | $2688$ | $1$ | $\PSL(2,7)$ | 16T1507 | |
| 16T1507 | $C_2^4:\GL(3,2)$ | $2688$ | $1$ | $C_2^3:\GL(3,2)$ | 16T1506 | |
| 16T1508 | $C_2^4:\GL(2,4)$ | $2880$ | $1$ | 20T267, 30T401 | ||
| 16T1653 | $\AGammaL(2,4)$ | $5760$ | $1$ | 20T358, 30T576, 30T580, 32T397099, 40T5174 | ||
| 16T1654 | $C_2^4:A_6$ | $5760$ | $1$ | 16T1654, 30T579, 30T582 | ||
| 16T1753 | $C_2^4:S_6$ | $11520$ | $1$ | 16T1753, 30T739, 30T754, 30T760, 30T762, 32T720331 x 2 | ||
| 16T1801 | $C_2^6:(C_2\times \GL(3,2))$ | $21504$ | $1$ | $C_2$ | 16T1801, 28T440 x 2, 28T454 x 2 | |
| 16T1802 | $C_2^6:\PGL(2,7)$ | $21504$ | $1$ | $C_2$ | 16T1802, 28T439 x 2, 42T775 x 2, 42T776 x 2 | |
| 16T1803 | $C_2^7:\GL(3,2)$ | $21504$ | $1$ | $\PSL(2,7)$ | ||
| 16T1804 | $C_2^4:C_2^3:\GL(3,2)$ | $21504$ | $1$ | $C_2^3:\GL(3,2)$ | 16T1804 | |
| 16T1805 | $C_2^4:C_2^3:\GL(3,2)$ | $21504$ | $1$ | $C_2^3:\GL(3,2)$ | ||
| 16T1838 | $S_8$ | $40320$ | $1$ | $C_2$, $S_8$ | 8T50, 28T502, 30T1153, 35T44 | |
| 16T1839 | $C_2\times A_8$ | $40320$ | $1$ | $C_2$, $A_8$ | 30T1154 x 2 | |
| 16T1840 | $C_2^4:A_7$ | $40320$ | $1$ | 30T1152 | ||
| 16T1842 | $C_2^7:\PGL(2,7)$ | $43008$ | $1$ | $\PGL(2,7)$ | 16T1842, 32T1515380 | |
| 16T1843 | $C_2^7.\PGL(2,7)$ | $43008$ | $-1$ | $\PGL(2,7)$ | 16T1843, 32T1515381 | |
| 16T1844 | $C_2^8.\GL(3,2)$ | $43008$ | $-1$ | $\PSL(2,7)$ | 16T1844, 32T1515382 | |
| 16T1861 | $\GL(3,2)\wr C_2$ | $56448$ | $1$ | $C_2$ | 14T52 x 2, 28T546 x 2, 42T1003 | |
| 16T1873 | $C_2\times S_8$ | $80640$ | $1$ | $C_2$, $S_8$ | 16T1873, 32T1832184 | |
| 16T1878 | $C_2^8.\PGL(2,7)$ | $86016$ | $-1$ | $\PGL(2,7)$ | 16T1878 x 3, 32T1832207 x 2, 32T1832208 x 2, 32T1832209 x 2 | |
| 16T1882 | $\GL(3,2)^2:C_4$ | $112896$ | $-1$ | $C_2$ | 28T669, 32T1838588, 42T1258 | |
| 16T1883 | $\PGOPlus(4,7)$ | $112896$ | $1$ | $C_2$ | 28T670, 32T1838589, 42T1259 | |
| 16T1902 | $C_2^4.C_2^6:\GL(3,2)$ | $172032$ | $1$ | $C_2^3:\GL(3,2)$ | ||
| 16T1903 | $\PGL(2,7)\wr C_2$ | $225792$ | $-1$ | $C_2$ | 28T869, 32T2081907, 32T2081908, 32T2081909, 42T1484 | |
| 16T1906 | $C_2^4.A_8$ | $322560$ | $1$ | 30T1717 | ||
| 16T1916 | $C_2\wr C_2^3.\GL(3,2)$ | $344064$ | $-1$ | $C_2^3:\GL(3,2)$ | 16T1916, 32T2267427 | |
| 16T1938 | $C_2^7.A_8$ | $2580480$ | $1$ | $A_8$ | ||
| 16T1940 | $C_2^6.\GL(3,2)\wr C_2$ | $3612672$ | $1$ | $C_2$ | 16T1940, 28T1383 x 2 | |
| 16T1944 | $C_2^7.C_{3276}$ | $5160960$ | $-1$ | $A_8$ | 16T1944, 32T2711884 | |
| 16T1945 | $C_2^7.S_8$ | $5160960$ | $1$ | $S_8$ | 16T1945, 32T2711885 | |
| 16T1946 | $C_2^7.S_8$ | $5160960$ | $-1$ | $S_8$ | 16T1946, 32T2711886 | |
| 16T1948 | $C_2^8.S_8$ | $10321920$ | $-1$ | $S_8$ | 16T1948 x 3, 32T2746190 x 2, 32T2746191 x 2, 32T2746192 x 2 | |
| 16T1949 | $A_8\wr C_2$ | $812851200$ | $1$ | $C_2$ | 30T4863 x 2 | |
| 16T1950 | $A_8^2.C_4$ | $1625702400$ | $-1$ | $C_2$ | 32T2797287 | |
| 16T1951 | $A_8^2.C_2^2$ | $1625702400$ | $1$ | $C_2$ | 32T2797288 | |
| 16T1952 | $S_8\wr C_2$ | $3251404800$ | $-1$ | $C_2$ | 32T2797912, 32T2797913, 32T2797914 | |
| 16T1953 | $A_{16}$ | $10461394944000$ | $1$ | |||
| 16T1954 | $S_{16}$ | $20922789888000$ | $-1$ | 32T2801205 |
Results are complete for degrees $\leq 23$.