# Group GAP4(64,176)

Name: (C8 x C4) : C2
Maximal quotients:GAP4(32,34) GAP4(32,42)
Real polynomial:
```x^64-288*x^62+36192*x^60-2639952*x^58+125617956*x^56-4155868944*x^54+9946968\
5952*x^52-1769080028256*x^50+23824815552432*x^48-246335386597920*x^46+197566\
8069576384*x^44-12386923106612688*x^42+61065910624310460*x^40-23771780337994\
1136*x^38+732882562397986464*x^36-1792840657849721568*x^34+34836681377359347\
66*x^32-5378521973549164704*x^30+6595943061581878176*x^28-641838069125841067\
2*x^26+4946338760569147260*x^24-3010022314906883184*x^22+1440262022721183936\
*x^20-538735490489651040*x^18+156314614839506352*x^16-34820802196162848*x^14\
+5873585485779648*x^12-736199715822768*x^10+66758532154596*x^8-4208936192496\
*x^6+173105214048*x^4-4132485216*x^2+43046721```
Common denominator of the automorphisms:
`238219445549928389416753199176311776588070106192198440000`
Complex polynomial:
```x^64-168*x^56+28008*x^48-24192*x^40-970704*x^32-870912*x^24+36298368*x^16-78\
38208*x^8+1679616```
Common denominator of the automorphisms:
`10565778972672`

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.