Galois group search results

Results (17 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
37T1	$C_{37}$	$37$	$1$	✓	$1$	$37$
37T2	$D_{37}$	$74$	$1$	✓	$-1$	$20$
37T3	$C_{37}:C_{3}$	$111$	$1$	✓	$-1$	$15$
37T4	$C_{37}:C_{4}$	$148$	$-1$	✓	$-1$	$13$
37T5	$C_{37}:C_{6}$	$222$	$1$	✓	$-1$	$12$
37T6	$C_{37}:C_{9}$	$333$	$1$	✓	$-1$	$13$
37T7	$C_{37}:C_{12}$	$444$	$-1$	✓	$-1$	$15$
37T8	$C_{37}:C_{18}$	$666$	$1$	✓	$-1$	$20$
37T9	$F_{37}$	$1332$	$-1$	✓	$-1$	$37$
37T10	$A_{37}$	$6881876545613172523157989790790451200000000$	$1$		$-1$	$10871$
37T11	$S_{37}$	$13763753091226345046315979581580902400000000$	$-1$		$-1$	$21637$
38T33	$\PSL(2,37)$	$25308$	$1$		$-1$	$21$
38T41	$\PGL(2,37)$	$50616$	$-1$		$-1$	$39$
38T75	$A_{38}$	$261511308733300555880003612050037145600000000$	$1$		$-1$	$13063$
38T76	$S_{38}$	$523022617466601111760007224100074291200000000$	$-1$		$-1$	$26015$
39T305	$A_{39}$	$10198941040598721679320140869951448678400000000$	$1$		$-1$	$15654$
39T306	$S_{39}$	$20397882081197443358640281739902897356800000000$	$-1$		$-1$	$31185$

 

Results are complete for degrees $\leq 23$.