Galois group search results

Results (1-50 of 162 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
33T1	$C_{33}$	$33$	$1$	✓	$1$	$33$	$C_3$, $C_{11}$
33T2	$C_{11}\times S_3$	$66$	$-1$	✓	$-1$	$33$	$S_3$, $C_{11}$
33T3	$D_{33}$	$66$	$1$	✓	$-1$	$18$	$S_3$, $D_{11}$
33T4	$C_3\times D_{11}$	$66$	$-1$	✓	$-1$	$21$	$C_3$, $D_{11}$
33T5	$S_3\times D_{11}$	$132$	$-1$	✓	$-1$	$21$	$S_3$, $D_{11}$
33T6	$C_3\times C_{11}:C_5$	$165$	$1$	✓	$-1$	$21$	$C_3$, $C_{11}:C_5$
33T7	$S_3\times C_{11}:C_5$	$330$	$-1$	✓	$-1$	$21$	$S_3$, $C_{11}:C_5$
33T8	$C_3\times F_{11}$	$330$	$-1$	✓	$-1$	$33$	$C_3$, $F_{11}$
33T9	$D_{33}:C_5$	$330$	$1$	✓	$-1$	$18$	$S_3$, $F_{11}$
33T10	$C_{11}^2:C_3$	$363$	$1$	✓	$-1$	$43$	$C_3$	33T10 x 3
33T11	$S_3\times F_{11}$	$660$	$-1$	✓	$-1$	$33$	$S_3$, $F_{11}$
33T12	$C_{11}^2:C_6$	$726$	$-1$	✓	$-1$	$26$	$C_3$	33T12 x 3
33T13	$C_{11}^2:S_3$	$726$	$-1$	✓	$-1$	$38$	$S_3$	33T14
33T14	$C_{11}^2:S_3$	$726$	$1$	✓	$-1$	$38$	$S_3$	33T13
33T15	$C_{11}^2:D_6$	$1452$	$-1$	✓	$-1$	$31$	$S_3$	33T15
33T16	$C_{11}^2:C_{15}$	$1815$	$1$	✓	$-1$	$23$	$C_3$	33T16 x 3
33T17	$C_3\times \PSL(2,11)$	$1980$	$1$		$-1$	$24$	$C_3$, $\PSL(2,11)$	33T17, 36T3021
33T18	t33n18	$2673$	$1$	✓	$-1$	$33$	$C_{11}$	33T18 x 10
33T19	t33n19	$3630$	$-1$	✓	$-1$	$34$	$C_3$	33T19 x 3
33T20	t33n20	$3630$	$1$	✓	$-1$	$22$	$S_3$	33T21
33T21	t33n21	$3630$	$-1$	✓	$-1$	$22$	$S_3$	33T20
33T22	t33n22	$3960$	$-1$		$-1$	$24$	$S_3$, $\PSL(2,11)$	33T22, 36T4977
33T23	t33n23	$3993$	$1$	✓	$-1$	$473$	$C_3$	33T23 x 39
33T24	t33n24	$5346$	$-1$	✓	$-1$	$33$	$C_{11}$	33T24 x 10
33T25	t33n25	$7260$	$-1$	✓	$-1$	$35$	$S_3$	33T25
33T26	t33n26	$7986$	$-1$	✓	$-1$	$241$	$C_3$	33T26 x 39
33T27	t33n27	$7986$	$-1$	✓	$-1$	$418$	$S_3$	33T27 x 9
33T28	t33n28	$7986$	$1$	✓	$-1$	$253$	$S_3$	33T28 x 9
33T29	t33n29	$8019$	$1$	✓	$-1$	$99$	$C_{11}$	33T29 x 21
33T30	t33n30	$13365$	$1$	✓	$-1$	$21$	$C_{11}:C_5$
33T31	t33n31	$15972$	$1$	✓	$-1$	$149$	$C_3$	44T142
33T32	t33n32	$15972$	$-1$	✓	$-1$	$221$	$S_3$	33T32 x 9
33T33	t33n33	$16038$	$-1$	✓	$-1$	$66$	$C_{11}$	33T33 x 21
33T34	t33n34	$19965$	$1$	✓	$-1$	$109$	$C_3$	33T34 x 39
33T35	t33n35	$23760$	$1$		$-1$	$30$	$C_3$, $M_{11}$	36T12768
33T36	t33n36	$26730$	$-1$	✓	$-1$	$21$	$C_{11}:C_5$
33T37	t33n37	$31944$	$-1$	✓	$-1$	$133$	$C_3$	44T229
33T38	t33n38	$31944$	$-1$	✓	$-1$	$175$	$S_3$	44T231
33T39	t33n39	$31944$	$1$	✓	$-1$	$100$	$S_3$	44T230
33T40	$\PSL(2,32)$	$32736$	$1$		$-1$	$33$
33T41	t33n41	$39930$	$-1$	✓	$-1$	$77$	$C_3$	33T41 x 39
33T42	t33n42	$39930$	$-1$	✓	$-1$	$98$	$S_3$	33T42 x 9
33T43	t33n43	$39930$	$1$	✓	$-1$	$65$	$S_3$	33T43 x 9
33T44	t33n44	$40095$	$1$	✓	$-1$	$63$	$C_{11}:C_5$	33T44
33T45	t33n45	$47520$	$-1$		$-1$	$30$	$S_3$, $M_{11}$	36T16207
33T46	t33n46	$63888$	$-1$	✓	$-1$	$140$	$S_3$	44T293
33T47	t33n47	$79860$	$1$	✓	$-1$	$49$	$C_3$	44T296
33T48	t33n48	$79860$	$-1$	✓	$-1$	$73$	$S_3$	33T48 x 9
33T49	t33n49	$80190$	$-1$	✓	$-1$	$42$	$C_{11}:C_5$	33T49
33T50	t33n50	$99825$	$1$	✓	$-1$	$65$	$C_3$

 

Results are complete for degrees $\leq 23$.