Group GAP4(64,45)

Name: C8 . D8 = C4 . (C8 x C2)
Maximal quotient:GAP4(32,12)
Real polynomial:
x^64-192*x^62+16704*x^60-876672*x^58+31195776*x^56-802354176*x^54+1552951296\
0*x^52-232514095104*x^50+2746966522176*x^48-25986663834624*x^46+199038524479\
488*x^44-1244571084675072*x^42+6392393690996736*x^40-27086425145966592*x^38+\
94947859808833536*x^36-275702792351219712*x^34+663131894729541120*x^32-13193\
05230708129792*x^30+2164912972979650560*x^28-2917274031728197632*x^26+320843\
8265408815104*x^24-2856602885866389504*x^22+2037255360868122624*x^20-1148033\
684058144768*x^18+502276534649044992*x^16-166771494941884416*x^14+4079422331\
3682432*x^12-7071599367290880*x^10+826016623755264*x^8-60926686396416*x^6+25\
93649590272*x^4-55037657088*x^2+429981696
Common denominator of the automorphisms:
4670734460902533523858139120233543295763532783326149633543296532188230372556\
8
Complex polynomial:
x^64+192*x^62+16704*x^60+876672*x^58+31195776*x^56+802354176*x^54+1552951296\
0*x^52+232514095104*x^50+2746966522176*x^48+25986663834624*x^46+199038524479\
488*x^44+1244571084675072*x^42+6392393690996736*x^40+27086425145966592*x^38+\
94947859808833536*x^36+275702792351219712*x^34+663131894729541120*x^32+13193\
05230708129792*x^30+2164912972979650560*x^28+2917274031728197632*x^26+320843\
8265408815104*x^24+2856602885866389504*x^22+2037255360868122624*x^20+1148033\
684058144768*x^18+502276534649044992*x^16+166771494941884416*x^14+4079422331\
3682432*x^12+7071599367290880*x^10+826016623755264*x^8+60926686396416*x^6+25\
93649590272*x^4+55037657088*x^2+429981696
Common denominator of the automorphisms:
4670734460902533523858139120233543295763532783326149633543296532188230372556\
8

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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