Group GAP4(72,30)

Name: C3 x ((C6 x C2) : C2)
Maximal quotients:GAP4(24,8) GAP4(24,10) GAP4(36,12)
Real polynomial:

x^72-336*x^70+49860*x^68-4368588*x^66+254553894*x^64-10526543460*x^62+321809\
090310*x^60-7479129701844*x^58+134837615020797*x^56-1914465963525912*x^54+21\
657221440616826*x^52-196971761573240148*x^50+1450554160397135625*x^48-869786\
6377684652712*x^46+42650604378678130272*x^44-171598065040650475512*x^42+5678\
56848130510177368*x^40-1548255707994357129168*x^38+3481537392086217954624*x^\
36-6459543633186574770528*x^34+9886667017309925240592*x^32-12472628906298595\
330944*x^30+12950067350299739834880*x^28-11040819053509745400960*x^26+770481\
6725443237872192*x^24-4382300279814382550016*x^22+2020195122696092777472*x^2\
0-749355925733318412288*x^18+221570979069623076864*x^16-51590675340685025280\
*x^14+9308975171448397824*x^12-1274036383561678848*x^10+128392691046432768*x\
^8-9126789759369216*x^6+427763850412032*x^4-11702381838336*x^2+139314069504

Common denominator of the automorphisms:

3511336432018960510298489564111116047063915168169248819675584671121470764277\
53012608681115648

Complex polynomial:

x^72+10287*x^60+105196887*x^48+6434293968*x^36+391025253303*x^24+12311362206\
*x^12+387420489

Common denominator of the automorphisms:

77698524062327103207

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