Group GAP4(64,152)

Name: (C2 x QD16) : C2
Maximal quotient:GAP4(32,28)
Real polynomial:

x^64-528*x^62+106128*x^60-11668800*x^58+813510192*x^56-38956335264*x^54+1347\
242567616*x^52-34819236809280*x^50+689265659322504*x^48-10644641626677696*x^\
46+130071968761464576*x^44-1271601391235205888*x^42+10033330335028710336*x^4\
0-64341181795961955456*x^38+337162717395601194240*x^36-144963537481778828313\
6*x^34+5128073424433580282640*x^32-14948548621994090543616*x^30+359201233523\
62334055168*x^28-71085248513881647648768*x^26+115604390028903771663360*x^24-\
153946858102628331147264*x^22+167010626281907484223488*x^20-1465831860465135\
82620672*x^18+103139746458075130890240*x^16-57490084397486252261376*x^14+249\
91971238121547939840*x^12-8298944179078187188224*x^10+2045978881465573638144\
*x^8-359464541299664486400*x^6+42214041003909316608*x^4-2949452646561349632*\
x^2+92170395205042176

Common denominator of the automorphisms:

1117935091816898354241104154378740478891145939104059825936972586625227816960

Complex polynomial:

x^64-256*x^56+29296*x^48-447488*x^40+3013728*x^32+1789952*x^24+468736*x^16+1\
6384*x^8+256

Common denominator of the automorphisms:

59201945600

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