Galois group search results

Results (1-50 of 306 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
39T1	$C_{39}$	$39$	$1$	✓	$1$	$39$	$C_3$, $C_{13}$
39T2	$C_{13}:C_3$	$39$	$1$	✓	$-1$	$7$	$C_3$, $C_{13}:C_3$	13T3
39T3	$C_{13}\times S_3$	$78$	$-1$	✓	$-1$	$39$	$S_3$, $C_{13}$
39T4	$D_{39}$	$78$	$-1$	✓	$-1$	$21$	$S_3$, $D_{13}$
39T5	$C_3\times D_{13}$	$78$	$1$	✓	$-1$	$24$	$C_3$, $D_{13}$
39T6	$D_{13}:C_3$	$78$	$1$	✓	$-1$	$8$	$C_3$, $C_{13}:C_6$	13T5, 26T6
39T7	$C_3\times C_{13}:C_3$	$117$	$1$	✓	$-1$	$21$	$C_3$, $C_{13}:C_3$	39T7 x 2
39T8	$S_3\times D_{13}$	$156$	$-1$	✓	$-1$	$24$	$S_3$, $D_{13}$
39T9	$D_{13}.S_3$	$156$	$1$	✓	$-1$	$15$	$S_3$, $C_{13}:C_4$
39T10	$C_3\times D_{13}.C_2$	$156$	$-1$	✓	$-1$	$21$	$C_3$, $C_{13}:C_4$
39T11	$F_{13}$	$156$	$-1$	✓	$-1$	$13$	$C_3$, $F_{13}$	13T6, 26T8
39T12	$S_3\times C_{13}:C_3$	$234$	$-1$	✓	$-1$	$21$	$S_3$, $C_{13}:C_3$
39T13	$C_3\times D_{13}:C_3$	$234$	$1$	✓	$-1$	$24$	$C_3$, $C_{13}:C_6$	39T13 x 2
39T14	$D_{39}:C_3$	$234$	$-1$	✓	$-1$	$15$	$S_3$, $C_{13}:C_6$
39T15	$S_3\times D_{13}.C_2$	$312$	$-1$	✓	$-1$	$21$	$S_3$, $C_{13}:C_4$
39T16	$C_3^3:C_{13}$	$351$	$1$	✓	$-1$	$15$	$C_{13}$	27T134
39T17	$S_3\times D_{13}:C_3$	$468$	$-1$	✓	$-1$	$24$	$S_3$, $C_{13}:C_6$
39T18	$C_3:F_{13}$	$468$	$1$	✓	$-1$	$21$	$S_3$, $F_{13}$
39T19	$C_3\times F_{13}$	$468$	$-1$	✓	$-1$	$39$	$C_3$, $F_{13}$	39T19 x 2
39T20	$C_{13}:(C_{13}:C_3)$	$507$	$1$	✓	$-1$	$59$	$C_3$	39T20 x 3
39T21	$C_{13}\times C_{13}:C_3$	$507$	$1$	✓	$-1$	$91$	$C_3$	39T21 x 3
39T22	$C_3^3:C_{26}$	$702$	$-1$	✓	$-1$	$27$	$C_{13}$	27T219
39T23	$C_{13}:(C_{12}\times S_3)$	$936$	$-1$	✓	$-1$	$39$	$S_3$, $F_{13}$
39T24	$C_{13}^2:C_6$	$1014$	$1$	✓	$-1$	$34$	$C_3$	39T24 x 3
39T25	$C_{13}^2:C_6$	$1014$	$1$	✓	$-1$	$50$	$C_3$	39T25 x 3
39T26	$C_{13}^2:S_3$	$1014$	$-1$	✓	$-1$	$49$	$S_3$	26T14, 39T27
39T27	$C_{13}^2:S_3$	$1014$	$-1$	✓	$-1$	$49$	$S_3$	26T14, 39T26
39T28	$C_3\times C_3^3:C_{13}$	$1053$	$1$	✓	$-1$	$45$	$C_{13}$	39T28
39T29	$C_3^3:C_{13}.C_3$	$1053$	$1$	✓	$-1$	$13$	$C_{13}:C_3$	27T292, 39T30 x 2
39T30	$C_3^3:C_{13}.C_3$	$1053$	$1$	✓	$-1$	$13$	$C_{13}:C_3$	27T292, 39T29, 39T30
39T31	$(C_{13}:C_3)^2$	$1521$	$1$	✓	$-1$	$49$	$C_3$	39T31 x 3
39T32	t39n32	$2028$	$-1$	✓	$-1$	$26$	$C_3$	39T32 x 3
39T33	t39n33	$2028$	$-1$	✓	$-1$	$34$	$C_3$	39T33 x 3
39T34	t39n34	$2028$	$-1$	✓	$-1$	$38$	$S_3$	26T23, 39T34
39T35	t39n35	$2028$	$1$	✓	$-1$	$20$	$S_3$	26T24, 39T35
39T36	t39n36	$2106$	$-1$	✓	$-1$	$42$	$C_{13}$	39T36
39T37	t39n37	$2106$	$-1$	✓	$-1$	$17$	$C_{13}:C_3$	27T422
39T38	t39n38	$3042$	$1$	✓	$-1$	$38$	$C_3$	39T38 x 3
39T39	t39n39	$3042$	$-1$	✓	$-1$	$35$	$S_3$	26T27, 39T40
39T40	t39n40	$3042$	$-1$	✓	$-1$	$35$	$S_3$	26T27, 39T39
39T41	t39n41	$3159$	$1$	✓	$-1$	$39$	$C_{13}:C_3$	39T41 x 5
39T42	t39n42	$4056$	$-1$	✓	$-1$	$28$	$S_3$	26T30, 39T42
39T43	$\PSL(3,3)$	$5616$	$1$		$-1$	$12$	$\PSL(3,3)$	13T7 x 2, 26T39 x 2, 39T43
39T44	t39n44	$6084$	$-1$	✓	$-1$	$46$	$C_3$	39T44 x 3
39T45	t39n45	$6084$	$1$	✓	$-1$	$28$	$S_3$	26T41, 39T45
39T46	t39n46	$6084$	$-1$	✓	$-1$	$34$	$S_3$	26T40, 39T46
39T47	t39n47	$6318$	$-1$	✓	$-1$	$30$	$C_{13}:C_3$	39T47
39T48	t39n48	$6591$	$1$	✓	$-1$	$767$	$C_3$	39T48 x 47
39T49	t39n49	$9477$	$1$	✓	$-1$	$69$	$C_{13}$	39T49 x 25
39T50	t39n50	$9477$	$1$	✓	$-1$	$69$	$C_{13}$	39T50 x 25

 

Results are complete for degrees $\leq 23$.