# Group GAP4(64,231)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,46) GAP4(32,48) GAP4(32,49)
Real polynomial:
```x^64-216*x^62+19368*x^60-998496*x^58+33882658*x^56-814767504*x^54+1454048920\
8*x^52-198733481184*x^50+2127817290241*x^48-18150878331960*x^46+124954085480\
400*x^44-701132272705920*x^42+3231183334780432*x^40-12301302847333632*x^38+3\
8852065476377856*x^36-102097124507868672*x^34+223607277599420416*x^32-408388\
498031474688*x^30+621633047622045696*x^28-787283382229352448*x^26+8271829337\
03790592*x^24-717959447250862080*x^22+511811934127718400*x^20-29738399059083\
2640*x^18+139448633933234176*x^16-52096789691498496*x^14+15246808011767808*x\
^12-3417382601097216*x^10+568456671920128*x^8-67007932268544*x^6+51990579118\
08*x^4-231928233984*x^2+4294967296```
Common denominator of the automorphisms:
`27809996974562134497669788501856806953709123665920`
Complex polynomial:
```x^64+8*x^56+4301596*x^48+17206328*x^40+110744134*x^32+17206328*x^24+4301596*\
x^16+8*x^8+1```
Common denominator of the automorphisms:
`2139291648000`

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