Group GAP4(64,173)

Name: (C8 x C4) : C2
Maximal quotients:GAP4(32,34) GAP4(32,40)
Real polynomial:

x^64-288*x^62+36384*x^60-2696544*x^58+132131436*x^56-4570232112*x^54+1162655\
36928*x^52-2236843863216*x^50+33192487923696*x^48-385319373751008*x^46+35351\
28884631168*x^44-25816047343225056*x^42+150762788038637460*x^40-705862612354\
353840*x^38+2651211653076955584*x^36-7979218938436274928*x^34+19185621032626\
498638*x^32-36674481284845535520*x^30+55342617842471720544*x^28-652955060421\
70642656*x^26+59464915425533446452*x^24-41095714322017952208*x^22+2106858088\
0331529696*x^20-7772026995697712976*x^18+1979581254599279088*x^16-3293052712\
63047648*x^14+33283731727668096*x^12-1877594734522080*x^10+54505226732940*x^\
8-769023627984*x^6+4741975872*x^4-11022480*x^2+6561

Common denominator of the automorphisms:

1525073636441524861804210976036070600933089834436704780512063648169941818819\
910322324925000000

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: Sat, 16 Jun 2018 12:23:16 +0200
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