Group GAP4(64,235)

Name: (C4 x Q8) : C2
Maximal quotients:GAP4(32,47) GAP4(32,48) GAP4(32,49)
Real polynomial:
```x^64-216*x^62+21564*x^60-1324872*x^58+56259234*x^56-1757670840*x^54+41988405\
780*x^52-786820782744*x^50+11772635246361*x^48-142416686686392*x^46+14052939\
68285964*x^44-11378928074155128*x^42+75890275644845214*x^40-4176365160758313\
60*x^38+1896468839481370320*x^36-7094057742457995888*x^34+217852605304191118\
44*x^32-54635449027804597512*x^30+111092963551398798516*x^28-181417581283408\
390440*x^26+235081243485145185786*x^24-238113833999663592504*x^22+1850937178\
97904898356*x^20-107989231761800243784*x^18+46045134924014229849*x^16-138983\
66508651982632*x^14+2858150549459151396*x^12-382795116264878616*x^10+3179770\
3646386542*x^8-1557600486421392*x^6+43022270462472*x^4-613674054576*x^2+3486\
784401```
Common denominator of the automorphisms:
`1651941500767042455762076112808550423502600209611365854578195723264`
Complex polynomial:
```x^64-5152*x^56+7185148*x^48-364505824*x^40+379106950150*x^32-364505824*x^24+\
7185148*x^16-5152*x^8+1```
Common denominator of the automorphisms:
`66246601385235824640`

Database of Galois polynomials by Bill Allombert and Igor Schein.