Galois group search results

Results (8 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T4	$C_3\times Q_8$	$24$	$1$	✓	$2$	$15$	$C_2$ x 3, $C_3$, $C_2^2$, $C_6$ x 3, $Q_8$, $C_6\times C_2$
24T15	$C_3\times D_4$	$24$	$1$	✓	$2$	$15$	$C_2$ x 3, $C_3$, $C_2^2$, $D_{4}$ x 2, $C_6$ x 3, $D_4$, $C_6\times C_2$, $D_4 \times C_3$ x 2	12T14 x 2
24T16	$C_3\times \OD_{16}$	$48$	$-1$	✓	$2$	$30$	$C_2$, $C_3$, $C_4$, $C_6$, $C_8:C_2$, $C_{12}$
24T17	$D_4:C_6$	$48$	$1$	✓	$2$	$30$	$C_2$ x 3, $C_3$, $C_2^2$, $C_6$ x 3, $Q_8:C_2$, $C_6\times C_2$	24T17 x 2
24T38	$C_6\times D_4$	$48$	$1$	✓	$2$	$30$	$C_2$ x 3, $C_3$, $C_2^2$, $D_{4}$ x 2, $C_6$ x 3, $D_4\times C_2$, $C_6\times C_2$, $D_4 \times C_3$ x 2	24T38 x 3
24T39	$C_2^2:C_{12}$	$48$	$1$	✓	$2$	$30$	$C_2$, $C_3$, $C_4$, $D_{4}$ x 2, $C_6$, $C_2^2:C_4$, $C_{12}$, $D_4 \times C_3$ x 2	24T39
24T92	$C_6.C_2^4$	$96$	$1$	✓	$2$	$51$	$C_2$ x 3, $C_3$, $C_2^2$, $C_6$ x 3, $Q_8:C_2^2$, $C_6\times C_2$	24T92 x 5
24T112	$C_2^4:C_6$	$96$	$1$	✓	$2$	$42$	$C_2$, $C_3$, $D_{4}$ x 3, $C_6$, $C_2^2 \wr C_2$, $D_4 \times C_3$ x 3	24T112 x 7

 

Results are complete for degrees $\leq 23$.