Galois group search results

Results (6 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
10T39	$C_2 \wr S_5$	$3840$	$-1$		$-1$	$36$	$S_5$	10T39, 20T275, 20T279 x 2, 20T285 x 2, 20T288 x 2, 20T289 x 2, 30T517 x 2, 30T524 x 2, 32T206825 x 2, 40T2728 x 2, 40T2731 x 2, 40T2748, 40T2749, 40T2757 x 2, 40T2771 x 2, 40T2772 x 2, 40T2773 x 2, 40T2774 x 2, 40T2779 x 2, 40T2780 x 2, 40T2781 x 2, 40T2782 x 2, 40T2798, 40T2839 x 2
10T40	$A_5 \wr C_2$	$7200$	$-1$		$-1$	$20$	$C_2$	12T269, 20T363, 24T9631, 25T88, 30T652, 36T7075, 40T5410
10T41	$(A_5^2 : C_2):C_2$	$14400$	$-1$		$-1$	$25$	$C_2$	12T279, 20T456, 20T459, 24T12117, 25T101, 30T819, 36T9862, 40T10506, 40T10507, 40T10508
10T42	$A_5^2 : C_4$	$14400$	$1$		$-1$	$22$	$C_2$	12T278, 20T457, 20T461, 24T12116, 25T100, 30T817, 36T9861, 40T10509, 40T10510, 40T10511
10T43	$S_5^2 \wr C_2$	$28800$	$-1$		$-1$	$35$	$C_2$	12T288, 20T539, 20T540, 20T542, 20T544, 24T13996, 24T13997, 24T13998, 25T106, 30T1011, 36T13308, 40T14374, 40T14375, 40T14376, 40T14377, 40T14378, 40T14379, 40T14380, 40T14381
11T6	$M_{11}$	$7920$	$1$		$-1$	$10$		12T272, 22T22

 

Results are complete for degrees $\leq 23$.