Galois group search results

Results (7 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
32T32	$C_2\times C_{16}$	$32$	$1$	✓	$1$	$32$	$C_2$ x 3, $C_4$ x 2, $C_2^2$, $C_8$ x 2, $C_4\times C_2$, $C_{16}$ x 2, $C_8\times C_2$
32T33	$C_{32}$	$32$	$-1$	✓	$1$	$32$	$C_2$, $C_4$, $C_8$, $C_{16}$
32T34	$C_2^3\times C_4$	$32$	$1$	✓	$1$	$32$	$C_2$ x 15, $C_4$ x 8, $C_2^2$ x 35, $C_4\times C_2$ x 28, $C_2^3$ x 15, $C_4\times C_2^2$ x 14, $C_2^4$
32T36	$C_2\times C_4^2$	$32$	$1$	✓	$1$	$32$	$C_2$ x 7, $C_4$ x 12, $C_2^2$ x 7, $C_4\times C_2$ x 18, $C_2^3$, $C_4\times C_2^2$ x 3, $C_4^2$ x 4
32T37	$C_2^2\times C_8$	$32$	$1$	✓	$1$	$32$	$C_2$ x 7, $C_4$ x 4, $C_2^2$ x 7, $C_8$ x 4, $C_4\times C_2$ x 6, $C_2^3$, $C_4\times C_2^2$, $C_8\times C_2$ x 6
32T39	$C_2^5$	$32$	$1$	✓	$1$	$32$	$C_2$ x 31, $C_2^2$ x 155, $C_2^3$ x 155, $C_2^4$ x 31
32T43	$C_4\times C_8$	$32$	$1$	✓	$1$	$32$	$C_2$ x 3, $C_4$ x 6, $C_2^2$, $C_8$ x 4, $C_4\times C_2$ x 3, $C_4^2$, $C_8\times C_2$ x 2

 

Results are complete for degrees $\leq 23$.