Galois group search results

Results (9 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
5T4	$A_5$	$60$	$1$		$-1$	$5$		6T12, 10T7, 12T33, 15T5, 20T15, 30T9
5T5	$S_5$	$120$	$-1$		$-1$	$7$		6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
6T12	$\PSL(2,5)$	$60$	$1$		$-1$	$5$		5T4, 10T7, 12T33, 15T5, 20T15, 30T9
6T14	$\PGL(2,5)$	$120$	$-1$		$-1$	$7$		5T5, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
6T15	$A_6$	$360$	$1$		$-1$	$7$		6T15, 10T26, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304, 45T49
6T16	$S_6$	$720$	$-1$		$-1$	$11$		6T16, 10T32, 12T183 x 2, 15T28 x 2, 20T145, 20T149 x 2, 30T164 x 2, 30T166 x 2, 30T176 x 2, 36T1252, 40T589, 40T592 x 2, 45T96
7T5	$\GL(3,2)$	$168$	$1$		$-1$	$6$		7T5, 8T37, 14T10 x 2, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
7T6	$A_7$	$2520$	$1$		$-1$	$9$		15T47 x 2, 21T33, 35T28, 42T294, 42T299
7T7	$S_7$	$5040$	$-1$		$-1$	$15$		14T46, 21T38, 30T565, 35T31, 42T411, 42T412, 42T413, 42T418

 

Results are complete for degrees $\leq 23$.