Galois group search results

Results (4 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
8T27	$((C_8 : C_2):C_2):C_2$	$64$	$-1$	✓	$4$	$13$	$C_2$, $C_4$	8T27, 8T28 x 2, 16T130, 16T157 x 2, 16T158 x 2, 16T159 x 2, 16T166, 16T170, 16T171, 16T172, 32T138 x 2, 32T139, 32T170, 32T176
8T28	$(((C_4 \times C_2): C_2):C_2):C_2$	$64$	$-1$	✓	$4$	$13$	$C_2$, $D_{4}$	8T27 x 2, 8T28, 16T130, 16T157 x 2, 16T158 x 2, 16T159 x 2, 16T166, 16T170, 16T171, 16T172, 32T138 x 2, 32T139, 32T170, 32T176
8T30	$(((C_4 \times C_2): C_2):C_2):C_2$	$64$	$-1$	✓	$4$	$13$	$C_2$, $D_{4}$	8T30 x 3, 16T143 x 2, 16T167 x 2, 16T168 x 2, 16T169 x 2, 32T157 x 2, 32T177, 32T178
8T35	$C_2 \wr C_2\wr C_2$	$128$	$-1$	✓	$4$	$20$	$C_2$, $D_{4}$	8T35 x 7, 16T376 x 4, 16T388 x 4, 16T390 x 4, 16T391 x 4, 16T393 x 4, 16T395 x 4, 16T396 x 4, 16T401 x 4, 32T852 x 4, 32T853 x 2, 32T854 x 2, 32T872 x 2, 32T876 x 4, 32T877 x 2, 32T880 x 2, 32T882 x 2, 32T883 x 4, 32T884 x 2, 32T885 x 2

 

Results are complete for degrees $\leq 23$.