Galois group search results

Results (11 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
27T97	$\He_3:C_3^2$	$243$	$1$	✓	$3$	$35$	$C_3$, $C_3^2:C_3$	27T96, 27T97 x 8
27T109	$C_3^2.C_3^3$	$243$	$1$	✓	$3$	$35$	$C_3$, $C_3^2:C_3$	27T99, 27T109 x 2
27T114	$C_3^3:C_3^2$	$243$	$1$	✓	$3$	$35$	$C_3$, $C_3^2:C_3$	27T100 x 3, 27T102, 27T114 x 2
27T190	$C_3^3.(C_3\times S_3)$	$486$	$-1$	✓	$-1$	$34$	$C_3$, $C_3^2 : S_3 $	27T190 x 2, 27T204
27T191	$C_3\wr C_3:C_6$	$486$	$-1$	✓	$-1$	$34$	$C_3$, $C_3^2 : S_3 $	27T150 x 3, 27T168, 27T191 x 2
27T203	$C_3^3.(C_3\times S_3)$	$486$	$-1$	✓	$-1$	$34$	$C_3$, $C_3^2 : S_3 $	27T183, 27T203 x 2
27T222	$C_3^3.C_3^3$	$729$	$1$	✓	$3$	$57$	$C_3$, $C_3^2:C_3$	27T222 x 8, 27T243 x 3
27T245	$C_3^4.C_3^2$	$729$	$1$	✓	$4$	$57$	$C_3$, $C_9:C_3$	27T245 x 8, 27T253 x 3
27T315	$(C_3^2\times \He_3):C_6$	$1458$	$-1$	✓	$-1$	$54$	$C_3$, $C_3^2 : S_3 $	27T315 x 8, 27T372 x 3
28T19	$C_2\times F_8$	$112$	$1$	✓	$-1$	$16$	$C_7$, $F_8$, $C_2\times F_8$	14T9, 16T196, 28T19 x 2, 28T20
28T89	$F_8:A_4$	$672$	$1$	✓	$-1$	$16$	$C_7:C_3$	28T89 x 2, 32T34610, 42T127

 

Results are complete for degrees $\leq 23$.