Galois group search results

Results (19 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
25T1	$C_{25}$	$25$	$1$	✓	$1$	$25$	$C_5$
25T2	$C_5^2$	$25$	$1$	✓	$1$	$25$	$C_5$ x 6
26T1	$C_{26}$	$26$	$-1$	✓	$1$	$26$	$C_2$, $C_{13}$
26T2	$D_{13}$	$26$	$-1$	✓	$-1$	$8$	$C_2$, $D_{13}$	13T2
27T1	$C_{27}$	$27$	$1$	✓	$1$	$27$	$C_3$, $C_9$
27T2	$C_3\times C_9$	$27$	$1$	✓	$1$	$27$	$C_3$ x 4, $C_9$ x 3, $C_3^2$
27T3	$\He_3$	$27$	$1$	✓	$2$	$11$	$C_3$ x 4, $C_3^2$, $C_3^2:C_3$ x 4	9T7 x 4
27T4	$C_3^3$	$27$	$1$	✓	$1$	$27$	$C_3$ x 13, $C_3^2$ x 13
27T5	$C_9:C_3$	$27$	$1$	✓	$2$	$11$	$C_3$ x 4, $C_3^2$, $C_9:C_3$	9T6
28T1	$C_{28}$	$28$	$-1$	✓	$1$	$28$	$C_2$, $C_4$, $C_7$, $C_{14}$
28T2	$C_2\times C_{14}$	$28$	$1$	✓	$1$	$28$	$C_2$ x 3, $C_2^2$, $C_7$, $C_{14}$ x 3
28T3	$C_7:C_4$	$28$	$-1$	✓	$-1$	$10$	$C_2$, $C_4$, $D_{7}$, $D_{7}$
28T4	$D_{14}$	$28$	$1$	✓	$-1$	$10$	$C_2$ x 3, $C_2^2$, $D_{7}$, $D_{7}$, $D_{14}$ x 2	14T3 x 2
29T1	$C_{29}$	$29$	$1$	✓	$1$	$29$
30T1	$C_{30}$	$30$	$-1$	✓	$1$	$30$	$C_2$, $C_3$, $C_5$, $C_6$, $C_{10}$, $C_{15}$
30T2	$C_5\times S_3$	$30$	$-1$	✓	$-1$	$15$	$C_2$, $S_3$, $C_5$, $S_3$, $C_{10}$, $S_3 \times C_5$	15T4
30T3	$D_{15}$	$30$	$-1$	✓	$-1$	$9$	$C_2$, $S_3$, $D_{5}$, $S_3$, $D_5$, $D_{15}$	15T2
30T4	$C_3\times D_5$	$30$	$-1$	✓	$-1$	$12$	$C_2$, $C_3$, $D_{5}$, $C_6$, $D_5$, $D_5\times C_3$	15T3
31T1	$C_{31}$	$31$	$1$	✓	$1$	$31$

 

Results are complete for degrees $\leq 23$.