# Group GAP4(64,22)

Name: (C4 x C2) . D8 = C4 . (C4 x C4)
Maximal quotients:GAP4(32,2) GAP4(32,15)
Real polynomial:
```x^64-816*x^62+204816*x^60-27339264*x^58+2335520656*x^56-139818079776*x^54+61\
80351459552*x^52-208400074500736*x^50+5474678037332592*x^48-1135605887527986\
56*x^46+1874724483051226944*x^44-24718051027195360768*x^42+26021443115538945\
1200*x^40-2178761327117422715520*x^38+14401782188418296579456*x^36-743217531\
00490317817344*x^34+295035011640731990981728*x^32-884979528601003496478976*x\
^30+1968965047552619314426624*x^28-3204374048536793323892736*x^26+3802823365\
025690405441280*x^24-3303732835546112160507392*x^22+211131422545213772911667\
2*x^20-994311082183728592869376*x^18+343715327092665734391552*x^16-861635070\
26232426337280*x^14+15295394720820753710080*x^12-1843671480311437746176*x^10\
+140175382878221722624*x^8-5859789828715821056*x^6+102533142843508736*x^4-74\
2890264436736*x^2+1785793904896```
Common denominator of the automorphisms:
```2421998481849408657479373455613684871290954212218465142304175160480626518853\
45596023288666889289532964864```
Complex polynomial:
```x^64+816*x^62+204816*x^60+27339264*x^58+2335520656*x^56+139818079776*x^54+61\
80351459552*x^52+208400074500736*x^50+5474678037332592*x^48+1135605887527986\
56*x^46+1874724483051226944*x^44+24718051027195360768*x^42+26021443115538945\
1200*x^40+2178761327117422715520*x^38+14401782188418296579456*x^36+743217531\
00490317817344*x^34+295035011640731990981728*x^32+884979528601003496478976*x\
^30+1968965047552619314426624*x^28+3204374048536793323892736*x^26+3802823365\
025690405441280*x^24+3303732835546112160507392*x^22+211131422545213772911667\
2*x^20+994311082183728592869376*x^18+343715327092665734391552*x^16+861635070\
26232426337280*x^14+15295394720820753710080*x^12+1843671480311437746176*x^10\
+140175382878221722624*x^8+5859789828715821056*x^6+102533142843508736*x^4+74\
2890264436736*x^2+1785793904896```
Common denominator of the automorphisms:
```2421998481849408657479373455613684871290954212218465142304175160480626518853\
45596023288666889289532964864```

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.