Galois group search results

Results (10 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
13T6	$F_{13}$	$156$	$-1$	✓	$-1$	$13$		26T8, 39T11
14T10	$\PSL(2,7)$	$168$	$1$		$-1$	$6$	$\GL(3,2)$	7T5 x 2, 8T37, 14T10, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
14T11	$F_8:C_3$	$168$	$1$	✓	$-1$	$8$	$C_7:C_3$	8T36, 24T283, 28T27, 42T26
14T12	$C_7^2:C_4$	$196$	$1$	✓	$-1$	$16$	$C_2$	14T12 x 3, 28T35 x 4
14T13	$D_7^2$	$196$	$-1$	✓	$-1$	$25$	$C_2$	14T13 x 2, 28T36 x 3
15T12	$(C_5^2 : C_3):C_2$	$150$	$1$	✓	$-1$	$10$	$C_3$	15T12, 25T15, 30T35 x 2
15T13	$(C_5^2 : C_3):C_2$	$150$	$-1$	✓	$-1$	$13$	$S_3$	15T14, 25T16, 30T37, 30T38
15T14	$(C_5^2 : C_3):C_2$	$150$	$-1$	✓	$-1$	$13$	$S_3$	15T13, 25T16, 30T37, 30T38
15T15	$\GL(2,4)$	$180$	$1$		$-1$	$15$	$A_5$	15T15, 15T16, 18T90, 30T45, 36T176, 45T16
15T16	$\GL(2,4)$	$180$	$1$		$-1$	$15$	$C_3$, $A_5$	15T15 x 2, 18T90, 30T45, 36T176, 45T16

 

Results are complete for degrees $\leq 23$.