Galois group search results

Results (14 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
25T13	$C_{25}:C_5$	$125$	$1$	✓	$2$	$29$	$C_5$
25T14	$\He_5$	$125$	$1$	✓	$2$	$29$	$C_5$	25T14 x 5
27T3	$\He_3$	$27$	$1$	✓	$2$	$11$	$C_3$ x 4, $C_3^2$, $C_3^2:C_3$ x 4	9T7 x 4
27T5	$C_9:C_3$	$27$	$1$	✓	$2$	$11$	$C_3$ x 4, $C_3^2$, $C_9:C_3$	9T6
27T16	$C_9:C_3^2$	$81$	$1$	✓	$2$	$33$	$C_3$ x 4, $C_3^2$, $C_9:C_3$ x 3	27T16 x 2
27T17	$C_3^2:C_9$	$81$	$1$	✓	$2$	$33$	$C_3$, $C_9$, $C_9:C_3$ x 2, $C_3^2:C_3$	27T17 x 2
27T18	$C_3\times \He_3$	$81$	$1$	✓	$2$	$33$	$C_3$ x 4, $C_3^2$, $C_3^2:C_3$ x 3	27T18 x 11
27T22	$C_{27}:C_3$	$81$	$1$	✓	$2$	$33$	$C_3$, $C_9$
27T28	$C_9.C_3^2$	$81$	$1$	✓	$2$	$33$	$C_3$ x 4, $C_3^2$	27T28 x 3
27T95	$C_3^4:C_3$	$243$	$1$	✓	$2$	$51$	$C_3$, $C_3^2:C_3$ x 4	27T95 x 26
27T101	$C_3^3:C_3^2$	$243$	$1$	✓	$2$	$83$	$C_3$ x 4, $C_3^2$	27T101 x 39
27T110	$C_3^4.C_3$	$243$	$1$	✓	$2$	$51$	$C_3$, $C_9:C_3$ x 3, $C_3^2:C_3$	27T110 x 26
27T113	$C_9.C_3^3$	$243$	$1$	✓	$2$	$83$	$C_3$ x 4, $C_3^2$	27T113 x 3
28T5	$C_7\times D_4$	$56$	$-1$	✓	$2$	$35$	$C_2$, $D_{4}$, $C_7$, $C_{14}$	28T5

 

Results are complete for degrees $\leq 23$.