Galois group search results

Results (10 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
27T1459	$C_3^7.C_3\wr C_3$	$177147$	$1$	✓	$9$	$251$	$C_3$, $C_3 \wr C_3 $	27T1459 x 26
27T1461	$C_3^3.C_3^6:C_9$	$177147$	$1$	✓	$9$	$299$	$C_3$, $C_3 \wr C_3 $	27T1461 x 26
27T1462	$C_3^7.C_3\wr C_3$	$177147$	$1$	✓	$9$	$299$	$C_3$, $C_3 \wr C_3 $	27T1462 x 26
27T1463	$C_3^8.(C_3\times C_9)$	$177147$	$1$	✓	$9$	$2235$	$C_3$, $C_9$	27T1463 x 728
27T1466	$C_3^8.C_9:C_3$	$177147$	$1$	✓	$9$	$363$	$C_3$, $C_9:C_3$	27T1466 x 26
27T1470	$C_3^6.C_3^3:C_9$	$177147$	$1$	✓	$9$	$251$	$C_3$, $C_3 \wr C_3 $	27T1470 x 26
27T1656	$C_3^6.C_3^5.C_3$	$531441$	$1$	✓	$9$	$593$	$C_3$, $C_3 \wr C_3 $	27T1656 x 80
27T1659	$C_3^6.C_3^5.C_3$	$531441$	$1$	✓	$9$	$593$	$C_3$, $C_3 \wr C_3 $	27T1659 x 80
27T1660	$C_3^8.C_3.C_3^3$	$531441$	$1$	✓	$9$	$1025$	$C_3$, $C_9:C_3$	27T1660 x 80
27T1857	$C_3^6.C_3^2\wr C_3$	$1594323$	$1$	✓	$9$	$1683$	$C_3$, $C_3 \wr C_3 $	27T1857 x 242

 

Results are complete for degrees $\leq 23$.