# Group GAP4(64,58)

Name: C4 x ((C4 x C2) : C2)
Maximal quotients:GAP4(32,21) GAP4(32,22) GAP4(32,24) GAP4(32,25)
Real polynomial:
```x^64-176*x^62+14312*x^60-715936*x^58+24744652*x^56-629154048*x^54+1223309460\
0*x^52-186658334160*x^50+2275685327514*x^48-22454153912784*x^46+180953006169\
504*x^44-1198615782718896*x^42+6553063800137816*x^40-29639302244522992*x^38+\
110984869027354360*x^36-343801476924342272*x^34+879155835484146515*x^32-1849\
246508421176592*x^30+3183598612275923712*x^28-4456360886256066480*x^26+50300\
96913576027048*x^24-4531749247005962160*x^22+3218665246680819000*x^20-177586\
6775387436096*x^18+748149519049361818*x^16-235942747466554976*x^14+544545587\
92971512*x^12-8957611080185296*x^10+1016884100776276*x^8-76422436736112*x^6+\
3583889485200*x^4-94213755504*x^2+1055015361```
Common denominator of the automorphisms:
`1791353321987095762383336994435957229310622443589047233111921664`
Complex polynomial:
`x^64+46*x^56+4995*x^48+14204*x^40+18629*x^32+14204*x^24+4995*x^16+46*x^8+1`
Common denominator of the automorphisms:
`32379668376`

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