Galois group search results

Results (1-50 of 384 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
33T47	$C_{11}^3:(C_5\times A_4)$	$79860$	$1$	✓	$-1$	$49$	$C_3$	44T296
33T48	$C_{11}^3:(S_3\times C_{10})$	$79860$	$-1$	✓	$-1$	$73$	$S_3$	33T48 x 9
33T49	$C_3^5:C_{33}:C_{10}$	$80190$	$-1$	✓	$-1$	$42$	$C_{11}:C_5$	33T49
33T50	$C_{11}^3:(C_5^2:C_3)$	$99825$	$1$	✓	$-1$	$65$	$C_3$
33T51	$D_{11}^3:C_{15}$	$159720$	$-1$	✓	$-1$	$65$	$C_3$	44T326
33T52	$C_{11}^3:(C_5\times S_4)$	$159720$	$-1$	✓	$-1$	$59$	$S_3$	44T327
33T53	$C_{11}^3:(C_5\times S_4)$	$159720$	$1$	✓	$-1$	$44$	$S_3$	44T328
33T54	$C_3^5:\PSL(2,11)$	$160380$	$1$		$-1$	$33$	$\PSL(2,11)$
33T55	$\PSL(2,32).C_5$	$163680$	$1$		$-1$	$21$
33T56	$C_{11}^3:(C_5^2:C_6)$	$199650$	$-1$	✓	$-1$	$49$	$C_3$
33T57	$C_{11}^3:(C_5^2:S_3)$	$199650$	$1$	✓	$-1$	$43$	$S_3$
33T58	$C_{11}^3:(C_5^2:S_3)$	$199650$	$-1$	✓	$-1$	$76$	$S_3$
33T59	$C_{11}^3:(C_{10}\times S_4)$	$319440$	$-1$	✓	$-1$	$76$	$S_3$	44T358
33T60	$C_3^5:(C_2\times \PSL(2,11))$	$320760$	$-1$		$-1$	$33$	$\PSL(2,11)$
33T61	$C_{11}^3:(C_{10}^2:C_3)$	$399300$	$1$	✓	$-1$	$77$	$C_3$
33T62	$C_{11}^3:(C_5^2:D_6)$	$399300$	$-1$	✓	$-1$	$59$	$S_3$
33T63	$C_3^6:\PSL(2,11)$	$481140$	$1$		$-1$	$99$	$\PSL(2,11)$	33T63
33T64	$C_{11}^3:C_5\wr C_3$	$499125$	$1$	✓	$-1$	$133$	$C_3$
33T65	$C_3^{10}.C_{11}$	$649539$	$1$	✓	$-1$	$5379$	$C_{11}$	33T65 x 2661
33T66	$C_{11}^3:(C_{10}^2:C_6)$	$798600$	$-1$	✓	$-1$	$109$	$C_3$
33T67	$C_{11}^3:(C_5^2:S_4)$	$798600$	$-1$	✓	$-1$	$73$	$S_3$
33T68	$C_{11}^3:(C_5^2:S_4)$	$798600$	$1$	✓	$-1$	$58$	$S_3$
33T69	$C_3^5:(S_3\times \PSL(2,11))$	$962280$	$-1$		$-1$	$66$	$\PSL(2,11)$	33T69
33T70	$C_{11}^3:(C_5^2:C_{30})$	$998250$	$-1$	✓	$-1$	$149$	$C_3$
33T71	$C_{11}^3:C_5\wr S_3$	$998250$	$1$	✓	$-1$	$119$	$S_3$
33T72	$C_{11}^3:C_5\wr S_3$	$998250$	$-1$	✓	$-1$	$140$	$S_3$
33T73	$C_3^{10}.C_{22}$	$1299078$	$-1$	✓	$-1$	$2706$	$C_{11}$	33T73 x 2661
33T74	$C_3^{10}.D_{11}$	$1299078$	$1$	✓	$-1$	$3054$	$D_{11}$	33T74 x 120, 33T75 x 121
33T75	$C_3^{10}.D_{11}$	$1299078$	$-1$	✓	$-1$	$3054$	$D_{11}$	33T74 x 121, 33T75 x 120
33T76	$C_{11}^3.C_{10}^2.D_6$	$1597200$	$-1$	✓	$-1$	$98$	$S_3$
33T77	$C_3^5:M_{11}$	$1924560$	$1$		$-1$	$26$	$M_{11}$
33T78	$C_3^{10}.C_{33}$	$1948617$	$1$	✓	$-1$	$16137$	$C_{11}$	33T78 x 5323
33T79	$C_{11}^3:(C_{10}^2:C_{15})$	$1996500$	$1$	✓	$-1$	$241$	$C_3$
33T80	$C_{11}^3:(C_5^3:D_6)$	$1996500$	$-1$	✓	$-1$	$175$	$S_3$
33T81	$C_3^{10}.D_{22}$	$2598156$	$-1$	✓	$-1$	$1719$	$D_{11}$	33T81 x 241
33T82	$(C_3^{10}.C_{11}):C_5$	$3247695$	$1$	✓	$-1$	$1119$	$C_{11}:C_5$	33T82
33T83	$C_3^5:(C_2\times M_{11})$	$3849120$	$-1$		$-1$	$37$	$M_{11}$
33T84	$C_3^{11}.C_{22}$	$3897234$	$-1$	✓	$-1$	$8085$	$C_{11}$	33T84 x 5323
33T85	$C_3^{10}.D_{33}$	$3897234$	$1$	✓	$-1$	$8433$	$D_{11}$	33T85 x 241
33T86	$(C_3^{10}.C_{33}):C_2$	$3897234$	$-1$	✓	$-1$	$9162$	$D_{11}$	33T86 x 241
33T87	$F_{11}\wr C_3$	$3993000$	$-1$	✓	$-1$	$473$	$C_3$
33T88	$C_{11}^3:(C_5^3:S_4)$	$3993000$	$1$	✓	$-1$	$218$	$S_3$
33T89	$C_{11}^3:(C_5^3:S_4)$	$3993000$	$-1$	✓	$-1$	$221$	$S_3$
33T90	$C_3^6:M_{11}$	$5773680$	$1$		$-1$	$78$	$M_{11}$
33T91	$(C_3^{10}.C_{11}):C_{10}$	$6495390$	$-1$	✓	$-1$	$570$	$C_{11}:C_5$	33T91
33T92	$C_3^{10}.F_{11}$	$6495390$	$-1$	✓	$-1$	$654$	$F_{11}$	33T93
33T93	$C_3^{10}.F_{11}$	$6495390$	$1$	✓	$-1$	$654$	$F_{11}$	33T92
33T94	$C_3^{10}.C_{11}.D_6$	$7794468$	$-1$	✓	$-1$	$4773$	$D_{11}$	33T94 x 241
33T95	$F_{11}\wr S_3$	$7986000$	$-1$	✓	$-1$	$418$	$S_3$
33T96	$C_3^{10}.C_{11}.C_{15}$	$9743085$	$1$	✓	$-1$	$3357$	$C_{11}:C_5$	33T96 x 3

 

Results are complete for degrees $\leq 23$.