Galois group search results

Results (1-50 of 2688 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
25T29	$C_5\times A_5$	$300$	$1$		$-1$	$25$	$C_5$, $A_5$	30T69
25T42	$C_5\times S_5$	$600$	$-1$		$-1$	$35$	$C_5$, $S_5$	30T145
25T44	$C_5:S_5$	$600$	$-1$		$-1$	$17$	$D_{5}$, $S_5$	30T144
25T46	$D_5\times A_5$	$600$	$1$		$-1$	$20$	$D_{5}$, $A_5$	30T128
25T54	$F_5\times A_5$	$1200$	$-1$		$-1$	$25$	$F_5$, $A_5$	30T245
25T55	$A_5:F_5$	$1200$	$1$		$-1$	$19$	$F_5$, $S_5$	30T250
25T58	$D_5\times S_5$	$1200$	$-1$		$-1$	$28$	$D_{5}$, $S_5$	30T252
25T64	$F_5\times S_5$	$2400$	$-1$		$-1$	$35$	$F_5$, $S_5$	30T380
25T74	$C_5^2.\SL(2,5)$	$3000$	$1$		$-1$	$14$		30T428
25T77	$A_5^2$	$3600$	$1$		$-1$	$25$	$A_5$ x 2	30T472 x 2, 36T4580
25T81	$C_5:F_5.A_5$	$6000$	$1$		$-1$	$22$		30T602
25T86	$A_5\times S_5$	$7200$	$-1$		$-1$	$35$	$A_5$, $S_5$	30T642, 30T648, 36T7073
25T87	$\PSOPlus(4,5)$	$7200$	$1$		$-1$	$26$	$S_5$ x 2	30T641 x 2, 36T7074
25T88	$\SOPlus(4,4)$	$7200$	$1$		$-1$	$20$		10T40, 12T269, 20T363, 24T9631, 30T652, 36T7075, 40T5410
25T90	$C_5^2.\GL(2,5)$	$12000$	$-1$		$-1$	$29$		30T795
25T99	$S_5^2$	$14400$	$-1$		$-1$	$49$	$S_5$ x 2	30T821 x 2, 36T9860
25T100	$A_5^2:C_4$	$14400$	$-1$		$-1$	$22$		10T42, 12T278, 20T457, 20T461, 24T12116, 30T817, 36T9861, 40T10509, 40T10510, 40T10511
25T101	$\PGOPlus(4,5)$	$14400$	$1$		$-1$	$25$		10T41, 12T279, 20T456, 20T459, 24T12117, 30T819, 36T9862, 40T10506, 40T10507, 40T10508
25T106	$S_5\wr C_2$	$28800$	$-1$		$-1$	$35$		10T43, 12T288, 20T539, 20T540, 20T542, 20T544, 24T13996, 24T13997, 24T13998, 30T1011, 36T13308, 40T14374, 40T14375, 40T14376, 40T14377, 40T14378, 40T14379, 40T14380, 40T14381
25T110	$C_5^4:A_5$	$37500$	$1$		$-1$	$77$	$A_5$
25T119	$C_5^4:(C_2\times A_5)$	$75000$	$1$		$-1$	$58$	$A_5$
25T120	$C_5^4:S_5$	$75000$	$-1$		$-1$	$106$	$S_5$
25T121	$C_5^4:S_5$	$75000$	$-1$		$-1$	$58$	$S_5$
25T125	$C_5^4:(C_2\times S_5)$	$150000$	$-1$		$-1$	$80$	$S_5$
25T126	$C_5^4:(C_4\times A_5)$	$150000$	$-1$		$-1$	$44$	$A_5$
25T127	$C_5^4:A_5:C_4$	$150000$	$1$		$-1$	$44$	$S_5$
25T128	$C_5\wr A_5$	$187500$	$1$		$-1$	$337$	$A_5$	25T128 x 4
25T131	$C_5^4:(C_4\times S_5)$	$300000$	$-1$		$-1$	$64$	$S_5$
25T132	$C_5^5:S_5$	$375000$	$-1$		$-1$	$188$	$S_5$	25T132 x 4
25T133	$C_5\wr S_5$	$375000$	$-1$		$-1$	$506$	$S_5$	25T133 x 4
25T134	$C_5\wr A_5:C_2$	$375000$	$1$		$-1$	$188$	$A_5$	25T134 x 4
25T138	$C_5\wr S_5:C_2$	$750000$	$-1$		$-1$	$280$	$S_5$	25T138 x 4
25T139	$C_5^5.C_2.S_5$	$750000$	$1$		$-1$	$109$	$S_5$	25T139 x 4
25T140	$C_5\wr A_5:C_4$	$750000$	$-1$		$-1$	$109$	$A_5$	25T140 x 4
25T148	$C_5\wr S_5.C_4$	$1500000$	$-1$		$-1$	$164$	$S_5$	25T148 x 4
25T152	$C_5^5:(C_2^4:A_5)$	$3000000$	$1$		$-1$	$132$	$A_5$
25T155	$C_5^5:(C_2^4:S_5)$	$6000000$	$-1$		$-1$	$141$	$S_5$
25T156	$C_5^5.C_2^4:S_5$	$6000000$	$-1$		$-1$	$201$	$S_5$
25T157	$C_5^5.C_2\wr A_5$	$6000000$	$1$		$-1$	$168$	$A_5$
25T161	$C_5^5.(C_4\times C_2^4:A_5)$	$12000000$	$-1$		$-1$	$132$	$A_5$
25T162	$C_5^5.C_2^5.S_5$	$12000000$	$1$		$-1$	$126$	$S_5$
25T163	$C_5^5.C_2\wr S_5$	$12000000$	$-1$		$-1$	$252$	$S_5$
25T171	$C_5^5.(C_4\times C_2^4:S_5)$	$24000000$	$-1$		$-1$	$201$	$S_5$
25T175	$C_5^5.C_4^4:A_5$	$48000000$	$1$		$-1$	$109$	$A_5$
25T177	$C_5^5.(C_2\times C_4^4:A_5)$	$96000000$	$1$		$-1$	$188$	$A_5$
25T178	$C_5^5.C_4^4:S_5$	$96000000$	$-1$		$-1$	$164$	$S_5$
25T179	$C_5^5.C_4^4:S_5$	$96000000$	$-1$		$-1$	$146$	$S_5$
25T180	$C_5^5.(C_2\times C_4^4:S_5)$	$192000000$	$-1$		$-1$	$280$	$S_5$
25T181	$C_5^5.C_4\wr A_5$	$192000000$	$-1$		$-1$	$337$	$A_5$
25T182	$C_5^5.((C_2\times C_4^4).S_5)$	$192000000$	$1$		$-1$	$265$	$S_5$

 

Results are complete for degrees $\leq 23$.