Galois group search results

Results (1-50 of 56 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
46T1	$C_{46}$	$46$	$-1$	✓	$1$	$46$	$C_2$, $C_{23}$
46T2	$D_{23}$	$46$	$-1$	✓	$-1$	$13$	$C_2$, $D_{23}$	23T2
46T3	$D_{46}$	$92$	$-1$	✓	$-1$	$26$	$C_2$, $D_{23}$	46T3
46T4	$C_2\times C_{23}:C_{11}$	$506$	$-1$	✓	$-1$	$26$	$C_2$, $C_{23}:C_{11}$
46T5	$F_{23}$	$506$	$-1$	✓	$-1$	$23$	$C_2$, $F_{23}$	23T4
46T6	$C_2\times F_{23}$	$1012$	$-1$	✓	$-1$	$46$	$C_2$, $F_{23}$	46T6
46T7	$C_{23}\times D_{23}$	$1058$	$-1$	✓	$-1$	$299$	$C_2$	46T7 x 10
46T8	t46n8	$2116$	$-1$	✓	$-1$	$169$	$C_2$	46T8 x 10
46T9	t46n9	$2116$	$1$	✓	$-1$	$136$	$C_2$	46T9 x 11
46T10	t46n10	$4232$	$-1$	✓	$-1$	$104$	$C_2$	46T10
46T11	t46n11	$11638$	$-1$	✓	$-1$	$64$	$C_2$
46T12	t46n12	$11638$	$-1$	✓	$-1$	$49$	$C_2$	46T12 x 10
46T13	t46n13	$23276$	$-1$	✓	$-1$	$59$	$C_2$
46T14	t46n14	$23276$	$1$	✓	$-1$	$26$	$C_2$
46T15	t46n15	$23276$	$-1$	✓	$-1$	$59$	$C_2$	46T15 x 10
46T16	t46n16	$23276$	$1$	✓	$-1$	$56$	$C_2$	46T16 x 11
46T17	t46n17	$46552$	$-1$	✓	$-1$	$49$	$C_2$
46T18	t46n18	$46552$	$-1$	✓	$-1$	$64$	$C_2$	46T18
46T19	t46n19	$47104$	$1$	✓	$-1$	$112$	$C_{23}$	46T19 x 88
46T20	t46n20	$94208$	$-1$	✓	$-1$	$224$	$C_{23}$	46T20 x 88
46T21	t46n21	$128018$	$-1$	✓	$-1$	$104$	$C_2$
46T22	t46n22	$256036$	$1$	✓	$-1$	$166$	$C_2$
46T23	t46n23	$256036$	$-1$	✓	$-1$	$169$	$C_2$
46T24	t46n24	$512072$	$-1$	✓	$-1$	$299$	$C_2$
46T25	t46n25	$518144$	$1$	✓	$-1$	$32$	$C_{23}:C_{11}$
46T26	t46n26	$1036288$	$-1$	✓	$-1$	$64$	$C_{23}:C_{11}$
46T27	t46n27	$20401920$	$-1$		$-1$	$34$	$C_2$, $M_{23}$
46T28	t46n28	$96468992$	$1$	✓	$-1$	$182384$	$C_{23}$	46T28 x 182182
46T29	t46n29	$192937984$	$-1$	✓	$-1$	$364768$	$C_{23}$	46T29 x 182182
46T30	t46n30	$192937984$	$-1$	✓	$-1$	$94264$	$D_{23}$	46T30 x 2046, 46T31 x 2047
46T31	t46n31	$192937984$	$1$	✓	$-1$	$94264$	$D_{23}$	46T30 x 2047, 46T31 x 2046
46T32	t46n32	$385875968$	$-1$	✓	$-1$	$188528$	$D_{23}$	46T32 x 4093
46T33	t46n33	$1061158912$	$1$	✓	$-1$	$16624$	$C_{23}:C_{11}$
46T34	t46n34	$2122317824$	$-1$	✓	$-1$	$33248$	$C_{23}:C_{11}$
46T35	t46n35	$2122317824$	$1$	✓	$-1$	$8624$	$F_{23}$	46T36
46T36	t46n36	$2122317824$	$-1$	✓	$-1$	$8624$	$F_{23}$	46T35
46T37	t46n37	$4244635648$	$-1$	✓	$-1$	$17248$	$F_{23}$	46T37
46T38	t46n38	$20891566080$	$1$		$-1$	$60$	$M_{23}$
46T39	t46n39	$41783132160$	$-1$		$-1$	$120$	$M_{23}$
46T40	t46n40	$42785927331840$	$1$		$-1$	$368$	$M_{23}$
46T41	t46n41	$85571854663680$	$-1$		$-1$	$736$	$M_{23}$
46T42	t46n42	$208119169843200$	$-1$		$-1$	$170$	$C_2$
46T43	t46n43	$25852016738884976640000$	$-1$		$-1$	$1282$	$C_2$, $A_{23}$
46T44	t46n44	$25852016738884976640000$	$-1$		$-1$	$1255$	$C_2$, $S_{23}$	23T7
46T45	t46n45	$51704033477769953280000$	$-1$		$-1$	$2510$	$C_2$, $S_{23}$	46T45
46T46	t46n46	$54215608607986106530529280000$	$1$		$-1$	$17144$	$A_{23}$
46T47	t46n47	$108431217215972213061058560000$	$-1$		$-1$	$34288$	$A_{23}$
46T48	t46n48	$108431217215972213061058560000$	$-1$		$-1$	$34075$	$S_{23}$	46T49
46T49	t46n49	$108431217215972213061058560000$	$1$		$-1$	$34075$	$S_{23}$	46T48
46T50	t46n50	$216862434431944426122117120000$	$-1$		$-1$	$68150$	$S_{23}$	46T50

 

Results are complete for degrees $\leq 23$.