Group GAP4(72,32)

Name: C4 x ((C3 x C3) : C2)
Maximal quotients:GAP4(24,5) GAP4(36,13)
Real polynomial:

x^72-792*x^70+277992*x^68-57962168*x^66+8106771552*x^64-813536851776*x^62+61\
138439981564*x^60-3543543970379952*x^58+161798219914228128*x^56-591276623634\
2728048*x^54+175023261104354521056*x^52-4235133788937980054016*x^50+84359914\
222417098162172*x^48-1390518545626151357118912*x^46+190386229239509058697392\
00*x^44-217080125279853113414676672*x^42+2064234045290241095075540736*x^40-1\
6377181750081400546582710272*x^38+108349379808578449057012735008*x^36-596857\
491363672557169300471168*x^34+2730853911756430252441112099328*x^32-103417171\
26746511210916349204352*x^30+32266893366872031415036736408832*x^28-824640524\
66643438565718153929728*x^26+171388437068700253142548375475952*x^24-28711883\
0751456062264991248617344*x^22+383529380909372181462494263777920*x^20-403105\
423727476056504696908925312*x^18+327938356618345962189451867995648*x^16-2023\
16743143441094098573498240000*x^14+92242406194485907525744475818944*x^12-300\
72444158280107673967300169472*x^10+6715892229543588385202373121536*x^8-96946\
6722552005152839259306752*x^6+83050716940314449080607018496*x^4-363063243454\
9265533578448896*x^2+56728631789832273962163264

Common denominator of the automorphisms:

5359034629604116147586480789012377996039295783391427796779924683523058161157\
7855249638589595247577555174038151168

Complex polynomial:

x^72-45*x^66+1998*x^60-88722*x^54+3939759*x^48-2287602*x^42-1035909*x^36+200\
7666*x^30-610173*x^24+1220346*x^18-354294*x^12-531441*x^6+531441

Common denominator of the automorphisms:

1481072922900

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