Group GAP4(96,144)

Name: (C2 x C2 x C2 x S3) : C2
Maximal quotients:GAP4(32,27) GAP4(48,38) GAP4(48,43)
Real polynomial:

x^96-456*x^94+98460*x^92-13418096*x^90+1297895142*x^88-95000033064*x^86+5477\
987044296*x^84-255784911932424*x^82+9865297723527165*x^80-319004672470353112\
*x^78+8748270825394978368*x^76-205306537436257457640*x^74+415293277090436832\
7874*x^72-72824221660216705227024*x^70+1112170272075777141897540*x^68-148472\
72626623030944478216*x^66+173769884037255372276024186*x^64-17870812867335579\
83157471720*x^62+16177097129106627105443232436*x^60-129054092177405297139334\
491072*x^58+908013484121140719643815184830*x^56-5636629467077566285266607435\
352*x^54+30870689436211183437028883521104*x^52-14911136768214929851767015375\
4056*x^50+634748957538759498810484856549349*x^48-237883468639464140838241878\
2238984*x^46+7837864684175178619712556342391728*x^44-22665064518015334010742\
453006456728*x^42+57404467795132907464221500332011726*x^40-12703065737763292\
4936283627279823056*x^38+244916232785866049156314830299800444*x^36-410065471\
532592280042104765625350360*x^34+593987992563900456481334440117771482*x^32-7\
41137487590544448857737535340449912*x^30+79254015146171865112963867195371342\
0*x^28-722073967299397026708313929048664224*x^26+556623311341265881219448803\
723214354*x^24-360055681063791443212876216527300840*x^22+1935017577535231972\
32819193413314304*x^20-85356268117937201024597009656650328*x^18+304432101270\
01093795277235686166621*x^16-8614182642071149441638488037673704*x^14+1887134\
670340714047727339878951576*x^12-309937585407998399153750719394760*x^10+3653\
2444622745961651687881219318*x^8-2907724935068115256857579075872*x^6+1431126\
10229880516869877587700*x^4-3800855019464824409846403096*x^2+402348504849207\
32502198481

Common denominator of the automorphisms:

9859593007757004314743476866902306154771243504357200110922134407344787398525\
3151095848340511983734121890935573738023662640673583176346877638358545935891\
3304788001071055280388473125048874252267494352527105083530105659102926383667\
5044549442068029972152320000

Complex polynomial:

x^96+235200*x^84-123344928*x^72-2570811264*x^60+7976184711552*x^48-480963973\
75488*x^36+687415596779520*x^24+671102728740864*x^12+26873856

Common denominator of the automorphisms:

116021574433164105401222257249039771041792

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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