Galois group search results

Results (1-50 of 548 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
25T192	$A_5\wr A_5$	$46656000000$	$1$		$-1$	$337$	$A_5$	30T5357
25T193	$A_5^5.C_2^4.C_5$	$62208000000$	$1$		$-1$	$1705$	$C_5$	30T5366
25T194	$A_5\wr A_5.C_2$	$93312000000$	$-1$		$-1$	$299$	$A_5$	30T5382
25T195	$A_5\wr S_5$	$93312000000$	$-1$		$-1$	$506$	$S_5$	30T5383
25T196	$A_5^5.S_5$	$93312000000$	$1$		$-1$	$275$	$S_5$	30T5381
25T197	$A_5^5.C_2^4.D_5$	$124416000000$	$-1$		$-1$	$1145$	$D_{5}$	30T5395
25T198	$A_5^5.C_2^4.C_{10}$	$124416000000$	$-1$		$-1$	$3395$	$C_5$	30T5393
25T199	$A_5^5.C_2^4.D_5$	$124416000000$	$1$		$-1$	$1148$	$D_{5}$	30T5394
25T200	$A_5\wr S_5.C_2$	$186624000000$	$-1$		$-1$	$457$	$S_5$	30T5404
25T201	$A_5^5.C_2^4.F_5$	$248832000000$	$-1$		$-1$	$661$	$F_5$	30T5417
25T202	$A_5^5.C_2^4.D_{10}$	$248832000000$	$-1$		$-1$	$2212$	$D_{5}$	30T5416
25T203	$A_5^5.C_2^4.F_5$	$248832000000$	$1$		$-1$	$655$	$F_5$	30T5415
25T204	$A_5^5.C_2^4.C_{10}.C_4$	$497664000000$	$-1$		$-1$	$1253$	$F_5$	30T5432
25T205	$A_5^5.C_2^4.A_5$	$746496000000$	$1$		$-1$	$548$	$A_5$	30T5441
25T206	$A_5^5.C_2^5.A_5$	$1492992000000$	$-1$		$-1$	$1036$	$A_5$	30T5469
25T207	$A_5^5.C_2^4.S_5$	$1492992000000$	$1$		$-1$	$793$	$S_5$	30T5471
25T208	$A_5^5.C_2^4.S_5$	$1492992000000$	$-1$		$-1$	$811$	$S_5$	30T5470
25T209	$C_2^6.C_3^3.C_6$	$2985984000000$	$-1$		$-1$	$1547$	$S_5$	30T5501
25T210	$A_{25}$	$7755605021665492992000000$	$1$		$-1$	$997$
25T211	$S_{25}$	$15511210043330985984000000$	$-1$		$-1$	$1958$
26T86	$C_2^{12}.A_{13}$	$12752938598400$	$1$		$-1$	$462$	$A_{13}$
26T87	$C_2^{12}.S_{13}$	$25505877196800$	$-1$		$-1$	$885$	$S_{13}$	26T88
26T88	$C_2^{12}.S_{13}$	$25505877196800$	$1$		$-1$	$885$	$S_{13}$	26T87
26T89	$C_2^{13}.A_{13}$	$25505877196800$	$-1$		$-1$	$924$	$A_{13}$
26T90	$C_2^{12}.(C_2\times S_{13})$	$51011754393600$	$-1$		$-1$	$1770$	$S_{13}$	26T90
26T91	$A_{13}\wr C_2$	$19387894021816320000$	$-1$		$-1$	$1595$	$C_2$
26T92	$A_{13}^2.C_4$	$38775788043632640000$	$1$		$-1$	$2704$	$C_2$
26T93	$A_{13}^2.C_2^2$	$38775788043632640000$	$-1$		$-1$	$2713$	$C_2$
26T94	$S_{13}\wr C_2$	$77551576087265280000$	$-1$		$-1$	$5252$	$C_2$
26T95	$A_{26}$	$201645730563302817792000000$	$1$		$-1$	$1236$
26T96	$S_{26}$	$403291461126605635584000000$	$-1$		$-1$	$2436$
27T2376	$C_3^9.C_2^8.A_9$	$914248581120$	$1$		$-1$	$468$	$A_9$
27T2377	$C_3^9.C_2^8.A_9.C_2$	$1828497162240$	$1$		$-1$	$759$	$S_9$
27T2378	$C_3^9.C_2^8.A_9.C_2$	$1828497162240$	$-1$		$-1$	$804$	$A_9$
27T2379	$C_3^9.C_2^8.A_9.C_2$	$1828497162240$	$-1$		$-1$	$849$	$S_9$
27T2380	$C_3^9.C_2^8.A_9.C_2^2$	$3656994324480$	$-1$		$-1$	$1479$	$S_9$
27T2381	$A_9\wr C_3$	$17919272189952000$	$1$		$-1$	$1992$	$C_3$
27T2382	$A_9\wr S_3$	$35838544379904000$	$-1$		$-1$	$1482$	$S_3$
27T2383	$A_9^3.S_3$	$35838544379904000$	$1$		$-1$	$1374$	$S_3$
27T2384	$A_9^3.C_6$	$35838544379904000$	$-1$		$-1$	$2424$	$C_3$
27T2385	$A_9^3.D_6$	$71677088759808000$	$-1$		$-1$	$1938$	$S_3$
27T2386	$A_9^3.A_4$	$71677088759808000$	$1$		$-1$	$4552$	$C_3$
27T2387	$S_9\wr C_3$	$143354177519616000$	$-1$		$-1$	$9080$	$C_3$
27T2388	$A_9^3.S_4$	$143354177519616000$	$-1$		$-1$	$3002$	$S_3$
27T2389	$A_9^3.S_4$	$143354177519616000$	$1$		$-1$	$2990$	$S_3$
27T2390	$S_9\wr C_3.C_2$	$286708355039232000$	$-1$		$-1$	$5890$	$S_3$
27T2391	$A_{27}$	$5444434725209176080384000000$	$1$		$-1$	$1526$
27T2392	$S_{27}$	$10888869450418352160768000000$	$-1$		$-1$	$3010$
28T1746	$C_2^{14}.C_3^7.C_2^6.C_7.C_3$	$48157949952$	$1$	✓	$-1$	$2040$	$C_7:C_3$	42T7228, 42T7229 x 2, 42T7230
28T1747	$C_2^{14}.C_3^7.C_2^3.\PSL(2,7)$	$48157949952$	$1$		$-1$	$552$	$\GL(3,2)$	42T7220, 42T7221, 42T7222, 42T7223

 

Results are complete for degrees $\leq 23$.