Galois group search results

Results (8 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
6T15	$A_6$	$360$	$1$		$-1$	$7$		6T15, 10T26, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304, 45T49
10T26	$\PSL(2,9)$	$360$	$1$		$-1$	$7$		6T15 x 2, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304, 45T49
15T20	$A_6$	$360$	$1$		$-1$	$7$		6T15 x 2, 10T26, 15T20, 20T89, 30T88 x 2, 36T555, 40T304, 45T49
20T89	$A_6$	$360$	$1$		$-1$	$7$	$\PSL(2,9)$	6T15 x 2, 10T26, 15T20 x 2, 30T88 x 2, 36T555, 40T304, 45T49
30T88	$A_6$	$360$	$1$		$-1$	$7$	$A_6$, $A_6$	6T15 x 2, 10T26, 15T20 x 2, 20T89, 30T88, 36T555, 40T304, 45T49
36T555	$A_6$	$360$	$1$		$-1$	$7$	$A_6$ x 2	6T15 x 2, 10T26, 15T20 x 2, 20T89, 30T88 x 2, 40T304, 45T49
40T304	$A_6$	$360$	$1$		$-1$	$7$	$\PSL(2,9)$, $A_6$	6T15 x 2, 10T26, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 45T49
45T49	$A_6$	$360$	$1$		$-1$	$7$	$A_6$ x 2	6T15 x 2, 10T26, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304

 

Results are complete for degrees $\leq 23$.