Galois group search results

Results (14 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
9T19	$(C_3^2:C_8):C_2$	$144$	$-1$	✓	$-1$	$9$		12T84, 18T68, 18T71, 18T73, 24T278, 24T279, 24T280, 36T171, 36T172, 36T175
9T20	$C_3 \wr S_3 $	$162$	$-1$	✓	$-1$	$22$	$S_3$	9T20 x 2, 18T86 x 3, 27T37, 27T50 x 3, 27T70
9T21	$(C_3^3:C_3):C_2$	$162$	$1$	✓	$-1$	$13$	$S_3$	9T21 x 2, 18T88 x 3, 27T51 x 3, 27T52, 27T67
9T22	$(C_3^3:C_3):C_2$	$162$	$-1$	✓	$-1$	$13$	$C_3$	9T22 x 2, 18T85 x 3, 27T53 x 3, 27T62, 27T63
9T23	$(C_3^2:Q_8):C_3$	$216$	$1$	✓	$-1$	$10$		12T122, 24T562, 24T569, 27T82, 36T287, 36T309
10T14	$C_2 \times (C_2^4 : C_5)$	$160$	$-1$	✓	$-1$	$16$	$C_5$	10T14 x 2, 20T40 x 12, 20T41 x 6, 20T44 x 3, 20T46 x 3, 32T2133, 40T121 x 6, 40T122 x 6, 40T123 x 12, 40T141, 40T142 x 3
10T15	$(C_2^4 : C_5) : C_2$	$160$	$1$	✓	$-1$	$10$	$D_{5}$	10T15 x 2, 10T16 x 3, 16T415, 20T38 x 6, 20T39, 20T43 x 3, 20T45 x 3, 32T2132, 40T143 x 3, 40T144 x 3, 40T145 x 6, 40T146
10T16	$(C_2^4 : C_5) : C_2$	$160$	$-1$	✓	$-1$	$10$	$D_{5}$	10T15 x 3, 10T16 x 2, 16T415, 20T38 x 6, 20T39, 20T43 x 3, 20T45 x 3, 32T2132, 40T143 x 3, 40T144 x 3, 40T145 x 6, 40T146
10T17	$(C_5^2 : C_4) : C_2$	$200$	$-1$	✓	$-1$	$14$	$C_2$	10T17, 20T54 x 2, 25T19, 40T169 x 2
10T18	$C_5^2 : C_8$	$200$	$1$	✓	$-1$	$11$	$C_2$	10T18 x 2, 20T56 x 3, 25T20, 40T171 x 3
10T19	$D_5^2 : C_2$	$200$	$-1$	✓	$-1$	$14$	$C_2$	10T21 x 2, 20T48 x 2, 20T50 x 2, 20T55, 20T57 x 2, 25T21, 40T167 x 2, 40T170
10T20	$C_5^2 : Q_8$	$200$	$-1$	✓	$-1$	$8$	$C_2$	10T20 x 2, 20T47 x 3, 25T17, 40T166 x 3
10T21	$D_5^2 : C_2$	$200$	$-1$	✓	$-1$	$14$	$C_2$	10T19, 10T21, 20T48 x 2, 20T50 x 2, 20T55, 20T57 x 2, 25T21, 40T167 x 2, 40T170
10T22	$S_5\times C_2$	$240$	$-1$		$-1$	$14$	$C_2$, $S_5$	10T22, 12T123 x 2, 20T62 x 2, 20T65 x 2, 20T70, 24T570, 24T577, 30T58 x 2, 30T60 x 2, 40T173 x 2, 40T180, 40T181, 40T187 x 2

 

Results are complete for degrees $\leq 23$.