Group GAP4(72,48)

Name: C2 x C6 x S3
Maximal quotients:GAP4(24,14) GAP4(24,15) GAP4(36,12)
Real polynomial:

x^72-216*x^70+22356*x^68-1476144*x^66+69845490*x^64-2521943424*x^62+72257499\
918*x^60-1686537642456*x^58+32670075142539*x^56-532401046820280*x^54+7372889\
557177914*x^52-87419668509485208*x^50+892405595197276065*x^48-78745173705959\
70960*x^46+60221751882109917300*x^44-399777926081615856720*x^42+230487116139\
6746519619*x^40-11535862160103732945000*x^38+50054173950594747744846*x^36-18\
7855078673574688247208*x^34+607825636981870989409596*x^32-168822405505422699\
8659200*x^30+4002990509746204509508416*x^28-8047492555904005326550272*x^26+1\
3601224023435201078212319*x^24-19125263447683976741822136*x^22+2208804065821\
5984676867500*x^20-20618908503343710461317008*x^18+1524554934471186311025933\
3*x^16-8698823124166815470934768*x^14+3699909801651642009739218*x^12-1118441\
820513078895018248*x^10+224215864586548611715638*x^8-26792617513764848424336\
*x^6+1605297468036233628972*x^4-36470470017330968976*x^2+509430584983761

Common denominator of the automorphisms:

1037702998992415392

Complex polynomial:

x^72-381*x^60+144303*x^48-326896*x^36+735783*x^24-858*x^12+1

Common denominator of the automorphisms:

601660414989

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