Galois group search results

Results (1-50 of 76 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
38T1	$C_{38}$	$38$	$-1$	✓	$1$	$38$	$C_2$, $C_{19}$
38T2	$D_{19}$	$38$	$-1$	✓	$-1$	$11$	$C_2$, $D_{19}$	19T2
38T3	$D_{38}$	$76$	$-1$	✓	$-1$	$22$	$C_2$, $D_{19}$	38T3
38T4	$C_2\times C_{19}:C_3$	$114$	$-1$	✓	$-1$	$18$	$C_2$, $C_{19}:C_{3}$
38T5	$D_{19}:C_3$	$114$	$-1$	✓	$-1$	$9$	$C_2$, $C_{19}:C_{6}$	19T4
38T6	$C_2\times D_{19}:C_3$	$228$	$-1$	✓	$-1$	$18$	$C_2$, $C_{19}:C_{6}$	38T6
38T7	$C_2\times C_{19}:C_3.C_3$	$342$	$-1$	✓	$-1$	$22$	$C_2$, $C_{19}:C_{9}$
38T8	$F_{19}$	$342$	$-1$	✓	$-1$	$19$	$C_2$, $F_{19}$	19T6
38T9	$C_2\times F_{19}$	$684$	$-1$	✓	$-1$	$38$	$C_2$, $F_{19}$	38T9
38T10	$C_{19}\times D_{19}$	$722$	$-1$	✓	$-1$	$209$	$C_2$	38T10 x 8
38T11	$D_{19}^2$	$1444$	$-1$	✓	$-1$	$121$	$C_2$	38T11 x 8
38T12	$C_{19}^2:C_4$	$1444$	$1$	✓	$-1$	$94$	$C_2$	38T12 x 9
38T13	t38n13	$2166$	$-1$	✓	$-1$	$90$	$C_2$
38T14	t38n14	$2166$	$-1$	✓	$-1$	$75$	$C_2$	38T14 x 8
38T15	t38n15	$2888$	$-1$	✓	$-1$	$77$	$C_2$	38T15
38T16	t38n16	$4332$	$-1$	✓	$-1$	$63$	$C_2$
38T17	t38n17	$4332$	$1$	✓	$-1$	$36$	$C_2$
38T18	t38n18	$4332$	$1$	✓	$-1$	$42$	$C_2$	38T18 x 9
38T19	t38n19	$4332$	$-1$	✓	$-1$	$51$	$C_2$	38T19 x 8
38T20	t38n20	$6498$	$-1$	✓	$-1$	$53$	$C_2$
38T21	t38n21	$6498$	$-1$	✓	$-1$	$54$	$C_2$
38T22	t38n22	$6498$	$-1$	✓	$-1$	$41$	$C_2$	38T22 x 8
38T23	t38n23	$8664$	$-1$	✓	$-1$	$42$	$C_2$
38T24	t38n24	$8664$	$-1$	✓	$-1$	$39$	$C_2$	38T24
38T25	t38n25	$12996$	$-1$	✓	$-1$	$49$	$C_2$
38T26	t38n26	$12996$	$1$	✓	$-1$	$22$	$C_2$
38T27	t38n27	$12996$	$1$	✓	$-1$	$36$	$C_2$
38T28	t38n28	$12996$	$-1$	✓	$-1$	$45$	$C_2$
38T29	t38n29	$12996$	$1$	✓	$-1$	$46$	$C_2$	38T29 x 9
38T30	t38n30	$12996$	$-1$	✓	$-1$	$49$	$C_2$	38T30 x 8
38T31	t38n31	$19494$	$-1$	✓	$-1$	$39$	$C_2$
38T32	t38n32	$19494$	$-1$	✓	$-1$	$42$	$C_2$
38T33	$\PSL(2,37)$	$25308$	$1$		$-1$	$21$
38T34	t38n34	$25992$	$-1$	✓	$-1$	$41$	$C_2$
38T35	t38n35	$25992$	$-1$	✓	$-1$	$54$	$C_2$
38T36	t38n36	$25992$	$-1$	✓	$-1$	$53$	$C_2$	38T36
38T37	t38n37	$38988$	$-1$	✓	$-1$	$51$	$C_2$
38T38	t38n38	$38988$	$1$	✓	$-1$	$42$	$C_2$
38T39	t38n39	$38988$	$1$	✓	$-1$	$60$	$C_2$
38T40	t38n40	$38988$	$-1$	✓	$-1$	$63$	$C_2$
38T41	t38n41	$50616$	$-1$		$-1$	$39$
38T42	t38n42	$58482$	$-1$	✓	$-1$	$77$	$C_2$
38T43	t38n43	$77976$	$-1$	✓	$-1$	$75$	$C_2$
38T44	t38n44	$77976$	$-1$	✓	$-1$	$90$	$C_2$
38T45	t38n45	$116964$	$1$	✓	$-1$	$118$	$C_2$
38T46	t38n46	$116964$	$-1$	✓	$-1$	$121$	$C_2$
38T47	t38n47	$233928$	$-1$	✓	$-1$	$209$	$C_2$
38T48	t38n48	$4980736$	$1$	✓	$-1$	$13816$	$C_{19}$	38T48 x 13796
38T49	t38n49	$9961472$	$-1$	✓	$-1$	$27632$	$C_{19}$	38T49 x 13796
38T50	t38n50	$9961472$	$1$	✓	$-1$	$7676$	$D_{19}$	38T50 x 510, 38T51 x 511

 

Results are complete for degrees $\leq 23$.