Group GAP4(64,126)

Name: C8 x Q8
Maximal quotients:GAP4(32,26) GAP4(32,36) GAP4(32,38)
Real polynomial:
```x^64-180*x^62+14652*x^60-718200*x^58+23831595*x^56-570810132*x^54+1027741057\
2*x^52-143024306904*x^50+1569465050859*x^48-13781934097740*x^46+979153395188\
04*x^44-567417190106664*x^42+2697856968983490*x^40-10567027681455096*x^38+34\
180191125254296*x^36-91400492968563888*x^34+202012797659331807*x^32-36848969\
0049251448*x^30+553214794119239268*x^28-680767167504672612*x^26+682800803598\
655890*x^24-554073997969883412*x^22+360317876344427160*x^20-1855110010540417\
20*x^18+74451874520919186*x^16-22831023440193084*x^14+5212010770446744*x^12-\
855658805193000*x^10+96393489213996*x^8-6980800651128*x^6+295472692944*x^4-6\
198727824*x^2+43046721```
Common denominator of the automorphisms:
```4442207561762837701623779500465100242559798071649895930768054534136454096110\
0863```
Complex polynomial:
```x^64+180*x^62+14652*x^60+718200*x^58+23831595*x^56+570810132*x^54+1027741057\
2*x^52+143024306904*x^50+1569465050859*x^48+13781934097740*x^46+979153395188\
04*x^44+567417190106664*x^42+2697856968983490*x^40+10567027681455096*x^38+34\
180191125254296*x^36+91400492968563888*x^34+202012797659331807*x^32+36848969\
0049251448*x^30+553214794119239268*x^28+680767167504672612*x^26+682800803598\
655890*x^24+554073997969883412*x^22+360317876344427160*x^20+1855110010540417\
20*x^18+74451874520919186*x^16+22831023440193084*x^14+5212010770446744*x^12+\
855658805193000*x^10+96393489213996*x^8+6980800651128*x^6+295472692944*x^4+6\
198727824*x^2+43046721```
Common denominator of the automorphisms:
```4442207561762837701623779500465100242559798071649895930768054534136454096110\
0863```

Database of Galois polynomials by Bill Allombert and Igor Schein.