Group GAP4(64,255)

Name: C2 x ((C2 x Q8) : C2)
Maximal quotients:GAP4(32,44) GAP4(32,46)
Real polynomial:

x^64-384*x^62+70272*x^60-8156160*x^58+674106252*x^56-42228656064*x^54+208375\
2046656*x^52-83098208613888*x^50+2726584674813738*x^48-74556080900345664*x^4\
6+1714652720241953472*x^44-33383002990252801536*x^42+552640321121806420272*x\
^40-7799803316044890119424*x^38+93961313970800531583744*x^36-965922943161152\
200992768*x^34+8460536150481305754865491*x^32-62962342418326865583504960*x^3\
0+396429672582117347725010880*x^28-2099867697181580956479585792*x^26+9289451\
946099741877689909552*x^24-34008680956689817484608482048*x^22+10188057926587\
3090041558299904*x^20-246324101671181948184998443008*x^18+472672829965265638\
742739214890*x^16-705402815216099447353676713920*x^14+7987979015996401557565\
43911488*x^12-665921646634846361437646535168*x^10+39332444684762590279997078\
7468*x^8-156283724900467407143967824448*x^6+38632444819522275125377427904*x^\
4-5167212535029486610896413184*x^2+267081551534855893529035521

Common denominator of the automorphisms:

4763336904039739955382087325831014352104989628928228366800000

Complex polynomial:

x^64-168*x^56+26896*x^48-217728*x^40+1311744*x^32-3483648*x^24+6885376*x^16-\
688128*x^8+65536

Common denominator of the automorphisms:

10648918425600

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.