Galois group search results

Results (12 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
4T1	$C_4$	$4$	$-1$	✓	$1$	$4$	$C_2$
4T2	$C_2^2$	$4$	$1$	✓	$1$	$4$	$C_2$ x 3
4T3	$D_{4}$	$8$	$-1$	✓	$2$	$5$	$C_2$	4T3, 8T4
4T4	$A_4$	$12$	$1$	✓	$-1$	$4$		6T4, 12T4
5T1	$C_5$	$5$	$1$	✓	$1$	$5$
5T2	$D_{5}$	$10$	$1$	✓	$-1$	$4$		10T2
6T1	$C_6$	$6$	$-1$	✓	$1$	$6$	$C_2$, $C_3$
6T2	$S_3$	$6$	$-1$	✓	$-1$	$3$	$C_2$, $S_3$	3T2
6T3	$D_{6}$	$12$	$-1$	✓	$-1$	$6$	$C_2$, $S_3$	6T3, 12T3
6T4	$A_4$	$12$	$1$	✓	$-1$	$4$	$C_3$	4T4, 12T4
7T1	$C_7$	$7$	$1$	✓	$1$	$7$
7T2	$D_{7}$	$14$	$-1$	✓	$-1$	$5$		14T2

 

Results are complete for degrees $\leq 23$.