# Group GAP4(64,6)

Name: (C8 x C4) : C2
Maximal quotients:GAP4(32,5) GAP4(32,9) GAP4(32,11)
Real polynomial:
```x^64-96*x^62+4208*x^60-112240*x^58+2048592*x^56-27275936*x^54+275720976*x^52\
-2173758672*x^50+13621389100*x^48-68771121760*x^46+282507821136*x^44-9508986\
30448*x^42+2635138883248*x^40-6030527822432*x^38+11414719752112*x^36-1787538\
9968848*x^34+23139400981222*x^32-24712368493344*x^30+21708867340176*x^28-156\
21499213776*x^26+9158346705712*x^24-4344134926944*x^22+1652488014320*x^20-49\
8439574128*x^18+117488726316*x^16-21233030688*x^14+2868332720*x^12-279772816\
*x^10+18770128*x^8-807584*x^6+20048*x^4-240*x^2+1```
Common denominator of the automorphisms:
`44280090120748648263396124958546524877674585021009152`
Complex polynomial:
```x^64+832*x^60-90240*x^56-877568*x^52+194386944*x^48+5197742080*x^44+58030063\
616*x^40+106304372736*x^36+657738563584*x^32+1700869963776*x^28+148556962856\
96*x^24+21289951559680*x^20+12739342761984*x^16-920196743168*x^12-1513975971\
840*x^8+223338299392*x^4+4294967296```
Common denominator of the automorphisms:
`250183966499685793792`

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