Galois group search results

Results (9 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
8T6	$D_{8}$	$16$	$-1$	✓	$3$	$7$	$C_2$, $D_{4}$	8T6, 16T13
8T7	$C_8:C_2$	$16$	$-1$	✓	$2$	$10$	$C_2$, $C_4$	16T6
8T8	$QD_{16}$	$16$	$-1$	✓	$3$	$7$	$C_2$, $D_{4}$	16T12
8T9	$D_4\times C_2$	$16$	$1$	✓	$2$	$10$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 2	8T9 x 3, 16T9
8T10	$C_2^2:C_4$	$16$	$1$	✓	$2$	$10$	$C_2$, $C_4$, $D_{4}$ x 2	8T10, 16T10
8T11	$Q_8:C_2$	$16$	$1$	✓	$2$	$10$	$C_2$ x 3, $C_2^2$	8T11 x 2, 16T11
8T12	$\SL(2,3)$	$24$	$1$	✓	$-1$	$7$	$A_4$	24T7
8T13	$A_4\times C_2$	$24$	$1$	✓	$-1$	$8$	$C_2$, $A_4$	6T6, 12T6, 12T7, 24T9
8T14	$S_4$	$24$	$1$	✓	$-1$	$5$	$C_2$, $S_4$	4T5, 6T7, 6T8, 12T8, 12T9, 24T10

 

Results are complete for degrees $\leq 23$.