Group GAP4(72,49)

Name: C2 x C2 x ((C3 x C3) : C2)
Maximal quotients:GAP4(24,14) GAP4(36,13)
Real polynomial:

x^72-432*x^70+86850*x^68-10825440*x^66+940296645*x^64-60646276512*x^62+30218\
95030944*x^60-119493807642000*x^58+3822113551690170*x^56-100290237444458240*\
x^54+2181633051329554572*x^52-39656594895993140544*x^50+60594555013480846917\
0*x^48-7816502605564686366720*x^46+85377918995508936742920*x^44-791079392688\
616289895264*x^42+6222507521464133662087773*x^40-41541292467959560481798640*\
x^38+235092639262991950562630370*x^36-1125342392081018137097300640*x^34+4541\
477170106080056420060921*x^32-15383090468845944291155241312*x^30+43480993391\
384807702199800520*x^28-101796435454587549262460660880*x^26+1955402654136474\
44947481332200*x^24-304501087421553830160188297952*x^22+37853653063003386619\
3930795104*x^20-368254577169783037292803183040*x^18+273139373898726683449028\
864400*x^16-149217871652614348592386608000*x^14+5736061330078725271920216000\
0*x^12-14633143152269907823502400000*x^10+2314233897393203458596000000*x^8-2\
10321802239016185600000000*x^6+10007068512353040000000000*x^4-22595191056000\
0000000000*x^2+1857610000000000000000

Common denominator of the automorphisms:

4580974552983495677945749414161868096095085841368001176630580210491941393180\
701393424186359377394697086715012331172091937244700672000000000000000

Complex polynomial:

x^72+4006*x^60+8569415*x^48+240656620*x^36-52647385*x^24+8456206*x^12+1

Common denominator of the automorphisms:

550201042654670880

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