Group GAP4(64,214)

Name: (C4 x Q8) : C2
Maximal quotients:GAP4(32,47) GAP4(32,48)
Real polynomial:

x^64-660*x^62+167244*x^60-22934340*x^58+1962669731*x^56-113481938460*x^54+46\
65832542888*x^52-141333101481000*x^50+3235933940845507*x^48-5707825369144800\
0*x^46+786916960479145584*x^44-8574077448995577420*x^42+74465321011038448337\
*x^40-518872110318427621140*x^38+2914774243104971966268*x^36-132446485944727\
27588860*x^34+48777808107874442978656*x^32-145691134539200003477460*x^30+352\
687683415701607918428*x^28-690618778833827163737340*x^26+1090246764922613922\
102017*x^24-1380863747238186739068420*x^22+1394071397423395629936624*x^20-11\
12293690066628413608000*x^18+693651178549563074397667*x^16-33325606029899263\
0371000*x^14+121019679782049598787688*x^12-32377721446197292599060*x^10+6159\
698377901771732051*x^8-791755618031042490540*x^6+63510881167795557804*x^4-27\
56983791814329660*x^2+45949729863572161

Common denominator of the automorphisms:

473246244261009978325182551817012220798030355698831888296960

Complex polynomial:

x^64+196*x^56-6230*x^48+904144*x^40+468923059*x^32+3373341904*x^24+630809617\
0*x^16+5522989636*x^8+1

Common denominator of the automorphisms:

294081289641052181520347654592

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