Galois group search results

Results (1-50 of 71 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T24930	$A_6\wr C_4$	$67184640000$	$1$		$-1$	$658$	$C_2$, $C_4$	24T24930, 40T305315
24T24931	$A_6\wr C_2^2$	$67184640000$	$1$		$-1$	$721$	$C_2$ x 3, $C_2^2$	24T24931, 40T305316
24T24932	$C_3^8.(C_2^8.S_8)$	$67722117120$	$-1$		$-1$	$810$	$S_8$
24T24933	$C_2^{12}.(C_3^6.C_2^5:S_6)$	$68797071360$	$1$		$-1$	$694$	$S_6$	36T115316, 36T115317, 36T115318, 36T115319
24T24934	$C_2^{12}.(C_3^6.(C_2^5.S_6))$	$68797071360$	$-1$		$-1$	$652$	$S_6$	36T115308, 36T115309, 36T115310, 36T115311
24T24935	$C_2^{12}.(C_3^6.C_2\wr A_6)$	$68797071360$	$-1$		$-1$	$760$	$A_6$	36T115312, 36T115313, 36T115314, 36T115315
24T24936	$A_6^4.D_4$	$134369280000$	$1$		$-1$	$521$	$C_2$, $D_{4}$	24T24936, 40T307749
24T24937	$A_6\wr D_4$	$134369280000$	$1$		$-1$	$665$	$C_2$, $D_{4}$	24T24937, 40T307747
24T24938	$A_6\wr C_4.C_2$	$134369280000$	$1$		$-1$	$626$	$C_2$, $C_4$	24T24938, 40T307732
24T24939	$A_6^4.C_8$	$134369280000$	$-1$		$-1$	$602$	$C_2$, $C_4$	24T24939, 40T307733
24T24940	$A_6^4.D_4$	$134369280000$	$1$		$-1$	$683$	$C_2$ x 3, $C_2^2$	24T24940, 40T307736
24T24941	$A_6^4.C_2^3$	$134369280000$	$1$		$-1$	$722$	$C_2$ x 3, $C_2^2$	24T24941, 40T307735
24T24942	$A_6^4.C_4.C_2$	$134369280000$	$1$		$-1$	$680$	$C_2$ x 3, $C_2^2$	24T24942, 40T307737
24T24943	$A_6^4.Q_8$	$134369280000$	$1$		$-1$	$647$	$C_2$ x 3, $C_2^2$	24T24943, 40T307734
24T24944	$C_2^{12}.(C_3^6.(C_2^6.S_6))$	$137594142720$	$-1$		$-1$	$1265$	$S_6$	36T116856, 36T116857, 36T116858, 36T116859, 36T116860, 36T116861, 36T116862, 36T116863
24T24945	$A_6\wr A_4$	$201553920000$	$1$		$-1$	$371$	$A_4$	24T24945, 40T308243
24T24946	$A_6^4.\OD_{16}$	$268738560000$	$-1$		$-1$	$1066$	$C_2$, $C_4$	24T24946, 40T308925
24T24947	$A_6^4.C_2^3.C_2$	$268738560000$	$1$		$-1$	$1105$	$C_2$, $C_4$	24T24947, 40T308924
24T24948	$A_6^4.D_4.C_2$	$268738560000$	$1$		$-1$	$1180$	$C_2$ x 3, $C_2^2$	24T24948, 40T308966
24T24949	$A_6^4.D_4:C_2$	$268738560000$	$1$		$-1$	$1144$	$C_2$ x 3, $C_2^2$	24T24949, 40T308965
24T24950	$A_6\wr C_4.C_2^2$	$268738560000$	$1$		$-1$	$721$	$C_2$, $D_{4}$	24T24950, 40T308984
24T24951	$A_6^4.C_2^3.C_2$	$268738560000$	$1$		$-1$	$700$	$C_2$, $D_{4}$	24T24951, 40T308989
24T24952	$A_6^4.D_8$	$268738560000$	$-1$		$-1$	$634$	$C_2$, $D_{4}$	24T24952, 40T308991
24T24953	$A_6^4.\SD_{16}$	$268738560000$	$-1$		$-1$	$616$	$C_2$, $D_{4}$	24T24953, 40T308987
24T24954	$A_6^4.S_4$	$403107840000$	$1$		$-1$	$346$	$S_4$	24T24954, 40T309334
24T24955	$A_6^4.S_4$	$403107840000$	$1$		$-1$	$490$	$S_4$	24T24955, 40T309332
24T24956	$A_6\wr A_4.C_2$	$403107840000$	$1$		$-1$	$406$	$A_4$	24T24956, 40T309327
24T24957	$A_6^4.Q_8.C_3$	$403107840000$	$1$		$-1$	$381$	$A_4$	24T24957, 40T309326
24T24958	$C_2^{11}.A_{12}$	$490497638400$	$1$		$-1$	$325$	$A_{12}$
24T24959	$A_6^4.C_2^4.C_2$	$537477120000$	$1$		$-1$	$1274$	$C_2$, $D_{4}$	24T24959, 40T309776
24T24960	$A_6^4.C_2^3.C_4$	$537477120000$	$1$		$-1$	$1058$	$C_2$, $D_{4}$	24T24960, 40T309773
24T24961	$A_6^4.C_4\wr C_2$	$537477120000$	$-1$		$-1$	$1127$	$C_2$, $D_{4}$	24T24961, 40T309780
24T24962	$A_6^4.D_8.C_2$	$537477120000$	$-1$		$-1$	$1127$	$C_2$, $D_{4}$	24T24962, 40T309779
24T24963	$A_6^4.C_2^3.C_2^2$	$537477120000$	$1$		$-1$	$1958$	$C_2$, $C_4$	24T24963, 40T309644
24T24964	$A_6^4.\OD_{16}.C_2$	$537477120000$	$-1$		$-1$	$1952$	$C_2$, $C_4$	24T24964, 40T309645
24T24965	$A_6^4.C_2.C_2^4$	$537477120000$	$1$		$-1$	$2138$	$C_2$ x 3, $C_2^2$	24T24965, 40T309678
24T24966	$A_6^4.C_2^3.C_2^2$	$537477120000$	$-1$		$-1$	$2102$	$C_2$ x 3, $C_2^2$	24T24966, 40T309679
24T24967	$A_6\wr C_2^2.D_6$	$806215680000$	$1$		$-1$	$563$	$S_4$	24T24967, 40T310027
24T24968	$A_6^4.Q_8.S_3$	$806215680000$	$-1$		$-1$	$483$	$S_4$	24T24968, 40T310030
24T24969	$C_2^{12}.A_{12}$	$980995276800$	$-1$		$-1$	$614$	$A_{12}$	24T24969
24T24970	$C_2^{11}.A_{12}.C_2$	$980995276800$	$1$		$-1$	$599$	$S_{12}$	24T24970
24T24971	$C_2^{11}.A_{12}.C_2$	$980995276800$	$-1$		$-1$	$599$	$S_{12}$	24T24971
24T24972	$A_6^4.C_2\wr C_2^2$	$1074954240000$	$1$		$-1$	$1645$	$C_2$, $D_{4}$	24T24972, 40T310431
24T24973	$A_6^4.C_4^2:C_4$	$1074954240000$	$-1$		$-1$	$1609$	$C_2$, $D_{4}$	24T24973, 40T310436
24T24974	$A_6^4.D_4:D_4$	$1074954240000$	$-1$		$-1$	$1624$	$C_2$, $D_{4}$	24T24974, 40T310433
24T24975	$A_6^4.C_2\wr C_4$	$1074954240000$	$-1$		$-1$	$1624$	$C_2$, $D_{4}$	24T24975, 40T310437
24T24976	$A_6^4.C_2\wr C_4$	$1074954240000$	$-1$		$-1$	$3784$	$C_2$, $C_4$	24T24976, 40T310259
24T24977	$A_6^4.C_2\wr C_2^2$	$1074954240000$	$-1$		$-1$	$3949$	$C_2$ x 3, $C_2^2$	24T24977, 40T310309
24T24978	$A_6^4.Q_8.A_4$	$1612431360000$	$1$		$-1$	$878$	$A_4$	24T24978, 40T310634
24T24979	$C_2^{12}.S_{12}$	$1961990553600$	$-1$		$-1$	$1165$	$S_{12}$	24T24979 x 3

 

Results are complete for degrees $\leq 23$.