Galois group search results

Results (10 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
17T1	$C_{17}$	$17$	$1$	✓	$1$	$17$
17T2	$D_{17}$	$34$	$1$	✓	$-1$	$10$
17T3	$C_{17}:C_{4}$	$68$	$1$	✓	$-1$	$8$
17T4	$C_{17}:C_{8}$	$136$	$1$	✓	$-1$	$10$
17T5	$F_{17}$	$272$	$-1$	✓	$-1$	$17$
17T6	$\PSL(2,16)$	$4080$	$1$		$-1$	$17$
17T7	$\PSL(2,16):C_2$	$8160$	$1$		$-1$	$16$
17T8	$\PSL(2,16):C_4$	$16320$	$1$		$-1$	$17$
17T9	$A_{17}$	$177843714048000$	$1$		$-1$	$156$
17T10	$S_{17}$	$355687428096000$	$-1$		$-1$	$297$

 

Results are complete for degrees $\leq 23$.