Galois group search results

Results (displaying both matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
8T47	$S_4\wr C_2$	$1152$	$-1$	✓	$-1$	$20$	$C_2$	12T200, 12T201, 12T202, 12T203, 16T1292, 16T1294, 16T1295, 16T1296, 18T272, 18T273, 18T274, 18T275, 24T2803, 24T2804, 24T2805, 24T2806, 24T2807, 24T2808, 24T2809, 24T2810, 24T2821, 24T2826, 32T96692, 32T96694, 32T96695, 32T96696, 36T1758, 36T1759, 36T1760, 36T1761, 36T1762, 36T1763, 36T1764, 36T1765, 36T1766, 36T1767, 36T1768, 36T1769, 36T1943, 36T1944, 36T1945, 36T1946
8T48	$C_2^3:\GL(3,2)$	$1344$	$1$		$-1$	$11$		8T48, 14T34 x 2, 28T153, 28T159 x 2, 42T210 x 2, 42T211 x 2

 

Results are complete for degrees $\leq 23$.