Galois group search results

Results (9 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
13T7	$\PSL(3,3)$	$5616$	$1$		$-1$	$12$		13T7, 26T39 x 2, 39T43 x 2
14T10	$\PSL(2,7)$	$168$	$1$		$-1$	$6$	$\GL(3,2)$	7T5 x 2, 8T37, 14T10, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
14T17	$C_2\times \GL(3,2)$	$336$	$-1$		$-1$	$12$	$\GL(3,2)$	14T17, 14T19 x 2, 16T714, 28T43 x 2, 42T78, 42T79, 42T80 x 2
14T19	$\GL(3,2) \times C_2$	$336$	$-1$		$-1$	$12$	$C_2$, $\GL(3,2)$	14T17 x 2, 14T19, 16T714, 28T43 x 2, 42T78, 42T79, 42T80 x 2
14T52	$\GL(3,2)\wr C_2$	$56448$	$-1$		$-1$	$27$	$C_2$	14T52, 16T1861, 28T546 x 2, 42T1003
15T15	$\GL(2,4)$	$180$	$1$		$-1$	$15$	$A_5$	15T15, 15T16, 18T90, 30T45, 36T176, 45T16
15T21	$\GL(2,4):C_2$	$360$	$1$		$-1$	$12$	$S_5$	15T21, 15T22, 18T146, 30T89, 30T93 x 2, 30T101, 36T554, 45T45
15T47	$A_7$	$2520$	$1$		$-1$	$9$		7T6, 15T47, 21T33, 35T28, 42T294, 42T299
15T72	$A_8$	$20160$	$1$		$-1$	$14$		8T49, 15T72, 28T433, 35T36

 

Results are complete for degrees $\leq 23$.