# Group GAP4(64,261)

Name: C2 x C2 x C2 x D8
Maximal quotients:GAP4(32,46) GAP4(32,51)
Real polynomial:
```x^64-396*x^62+57240*x^60-4343328*x^58+201162265*x^56-6171042240*x^54+1319784\
33672*x^52-2038352173308*x^50+23324628680368*x^48-201595089563604*x^46+13356\
73485746568*x^44-6862093038884952*x^42+27580750524284857*x^40-87316190212522\
392*x^38+218826407490388344*x^36-435634094572480188*x^34+690307081937747473*\
x^32-871268189144960376*x^30+875305629961553376*x^28-698529521700179136*x^26\
+441292008388557712*x^24-219586977244318464*x^22+85483103087780352*x^20-2580\
4171464141312*x^18+5971104942174208*x^16-1043636312733696*x^14+1351459160801\
28*x^12-12638294507520*x^10+823960637440*x^8-35580542976*x^6+937820160*x^4-1\
2976128*x^2+65536```
Common denominator of the automorphisms:
`140529189904539779025377908574699731549941641945088000000`
Complex polynomial:
```x^64-119*x^60+13872*x^56-23443*x^52-583675*x^48+2170560*x^44+24750538*x^40-8\
3304998*x^36+219304224*x^32-83304998*x^28+24750538*x^24+2170560*x^20-583675*\
x^16-23443*x^12+13872*x^8-119*x^4+1```
Common denominator of the automorphisms:
`7829802861133824`

Database of Galois polynomials by Bill Allombert and Igor Schein.