Galois group search results

Results (displaying both matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
8T15	$Z_8 : Z_8^\times$	$32$	$-1$	✓	$3$	$11$	$C_2$, $D_{4}$	8T15, 16T35, 16T38 x 2, 16T45, 32T21
8T23	$\textrm{GL(2,3)}$	$48$	$-1$	✓	$-1$	$8$	$S_4$	8T23, 16T66, 24T22

 

Results are complete for degrees $\leq 23$.