Galois group search results

Results (10 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
9T8	$S_3^2$	$36$	$-1$	✓	$-1$	$9$	$S_3$ x 2	6T9, 12T16, 18T9, 18T11 x 2, 36T13
9T9	$C_3^2:C_4$	$36$	$1$	✓	$-1$	$6$		6T10 x 2, 12T17 x 2, 18T10, 36T14
9T10	$(C_9:C_3):C_2$	$54$	$1$	✓	$-1$	$10$	$S_3$	18T18, 27T14
9T11	$C_3^2 : C_6$	$54$	$1$	✓	$-1$	$10$	$S_3$	9T13, 18T20, 18T21, 18T22, 27T11
9T12	$(C_3^2:C_3):C_2$	$54$	$-1$	✓	$-1$	$10$	$S_3$	9T12 x 3, 18T24 x 4, 27T6
9T13	$C_3^2 : S_3 $	$54$	$-1$	✓	$-1$	$10$	$C_3$	9T11, 18T20, 18T21, 18T22, 27T11
10T5	$F_{5}\times C_2$	$40$	$-1$	✓	$-1$	$10$	$C_2$, $F_5$	10T5, 20T9, 20T13, 40T14
10T6	$D_5\times C_5$	$50$	$-1$	✓	$-1$	$20$	$C_2$	10T6, 25T3
10T7	$A_{5}$	$60$	$1$		$-1$	$5$		5T4, 6T12, 12T33, 15T5, 20T15, 30T9
11T3	$C_{11}:C_5$	$55$	$1$	✓	$-1$	$7$

 

Results are complete for degrees $\leq 23$.