Group GAP4(64,248)

Name: C2 x ((C8 x C2) : C2)
Maximal quotients:GAP4(32,38) GAP4(32,45)
Real polynomial:

x^64-256*x^62+31232*x^60-2416640*x^58+133156864*x^56-5560991744*x^54+1829374\
52544*x^52-4863660392448*x^50+106392570962672*x^48-1939568787600384*x^46+297\
40052992378880*x^44-386059464914731008*x^42+4261499230873206784*x^40-4010813\
7252857053184*x^38+322238314791742472192*x^36-2209602057685576974336*x^34+12\
911931154847007744256*x^32-64118650763664004513792*x^30+26944280949376825039\
2576*x^28-952678968083820674285568*x^26+2812992491723464200683520*x^24-68700\
48359248783432744960*x^22+13708865991725912172789760*x^20-220030663575265049\
66979584*x^18+27833487807846079303516160*x^16-27010706397081329050058752*x^1\
4+19380154261806659265363968*x^12-9753292483956472872435712*x^10+31793397991\
15948047204352*x^8-589451682319631128723456*x^6+49149282794665377005568*x^4-\
1155978867112180449280*x^2+7997266905159172096

Common denominator of the automorphisms:

772415490494572681012340745830400

Complex polynomial:

x^64-47*x^48+2208*x^32-47*x^16+1

Common denominator of the automorphisms:

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