Galois group search results

Results (7 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
8T25	$C_2^3:C_7$	$56$	$1$	✓	$-1$	$8$		14T6, 28T11
8T36	$C_2^3:(C_7: C_3)$	$168$	$1$	✓	$-1$	$8$		14T11, 24T283, 28T27, 42T26
8T37	$\PSL(2,7)$	$168$	$1$		$-1$	$6$		7T5 x 2, 14T10 x 2, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
8T43	$\PGL(2,7)$	$336$	$-1$		$-1$	$9$		14T16, 16T713, 21T20, 24T707, 28T42, 28T46, 42T81, 42T82, 42T83
8T48	$C_2^3:\GL(3,2)$	$1344$	$1$		$-1$	$11$		8T48, 14T34 x 2, 28T153, 28T159 x 2, 42T210 x 2, 42T211 x 2
8T49	$A_8$	$20160$	$1$		$-1$	$14$		15T72 x 2, 28T433, 35T36
8T50	$S_8$	$40320$	$-1$		$-1$	$22$		16T1838, 28T502, 30T1153, 35T44

 

Results are complete for degrees $\leq 23$.