Galois group search results

Results (7 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
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
8T36	$C_2^3:(C_7: C_3)$	$168$	$1$	✓	$-1$	$8$		14T11, 24T283, 28T27, 42T26
8T37	$\PSL(2,7)$	$168$	$1$		$-1$	$6$		7T5 x 2, 14T10 x 2, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
8T38	$C_2\wr A_4$	$192$	$-1$	✓	$-1$	$16$	$A_4$	8T38, 16T425, 16T427, 24T288 x 2, 24T425 x 2, 32T2185 x 2
8T39	$C_2^3:S_4$	$192$	$1$	✓	$-1$	$13$	$S_4$	8T39 x 5, 16T442 x 3, 24T333 x 6, 24T431 x 2, 32T2213 x 2
8T40	$Q_8:S_4$	$192$	$-1$	✓	$-1$	$13$	$S_4$	8T40, 16T444, 16T445, 24T332 x 2, 24T430 x 2, 32T2215 x 2
8T41	$V_4^2:(S_3\times C_2)$	$192$	$1$	✓	$-1$	$14$	$C_2$	8T41, 12T108 x 2, 12T109 x 2, 12T110 x 2, 12T111 x 2, 16T435 x 2, 16T436, 24T516 x 2, 24T517 x 2, 24T518 x 2, 24T519 x 2, 24T520 x 2, 24T521 x 2, 24T522 x 2, 24T523, 24T524 x 2, 24T525 x 2, 24T526 x 2, 24T527, 24T528, 24T529, 32T2148, 32T2149 x 2

 

Results are complete for degrees $\leq 23$.