Galois group search results

Results (9 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
13T3	$C_{13}:C_3$	$39$	$1$	✓	$-1$	$7$		39T2
13T4	$C_{13}:C_4$	$52$	$-1$	✓	$-1$	$7$		26T4
14T4	$F_7$	$42$	$-1$	✓	$-1$	$7$	$C_2$, $F_7$	7T4, 21T4, 42T4
14T5	$(C_7:C_3) \times C_2$	$42$	$-1$	✓	$-1$	$10$	$C_2$, $C_7:C_3$	42T2
14T6	$F_8$	$56$	$1$	✓	$-1$	$8$	$C_7$	8T25, 28T11
15T5	$A_5$	$60$	$1$		$-1$	$5$	$A_5$	5T4, 6T12, 10T7, 12T33, 20T15, 30T9
15T6	$C_{15} : C_4$	$60$	$1$	✓	$-1$	$9$	$S_3$, $F_5$	30T6
15T7	$D_5\times S_3$	$60$	$-1$	✓	$-1$	$12$	$S_3$, $D_{5}$	30T8, 30T10, 30T13
15T8	$F_5\times C_3$	$60$	$-1$	✓	$-1$	$15$	$C_3$, $F_5$	30T7

 

Results are complete for degrees $\leq 23$.