Group GAP4(64,9)
Name: (C2 x Q8) : C4
Maximal quotients:GAP4(32,6) GAP4(32,10) GAP4(32,11)
Real polynomial:
x^64-144*x^62+9552*x^60-388272*x^58+10854080*x^56-222016512*x^54+3451933248*\
x^52-41840897760*x^50+402356945296*x^48-3108085389504*x^46+19457717779776*x^\
44-99334533566784*x^42+415242748424576*x^40-1424706428190720*x^38+4015400326\
963968*x^36-9290490035316864*x^34+17609385502280800*x^32-27243091372942080*x\
^30+34215851677219584*x^28-34628185310228736*x^26+27963303548020736*x^24-177\
89173929934848*x^22+8770293742181376*x^20-3281569301236224*x^18+907323038951\
680*x^16-179100760876032*x^14+24116213246976*x^12-2081221008384*x^10+1054567\
60832*x^8-2781413376*x^6+31739904*x^4-153600*x^2+256
Common denominator of the automorphisms:
1330598718088559659636829905546047004698878831799096546787812819546133554702\
96219648
Complex polynomial:
x^64+144*x^62+9552*x^60+388272*x^58+10854080*x^56+222016512*x^54+3451933248*\
x^52+41840897760*x^50+402356945296*x^48+3108085389504*x^46+19457717779776*x^\
44+99334533566784*x^42+415242748424576*x^40+1424706428190720*x^38+4015400326\
963968*x^36+9290490035316864*x^34+17609385502280800*x^32+27243091372942080*x\
^30+34215851677219584*x^28+34628185310228736*x^26+27963303548020736*x^24+177\
89173929934848*x^22+8770293742181376*x^20+3281569301236224*x^18+907323038951\
680*x^16+179100760876032*x^14+24116213246976*x^12+2081221008384*x^10+1054567\
60832*x^8+2781413376*x^6+31739904*x^4+153600*x^2+256
Common denominator of the automorphisms:
1330598718088559659636829905546047004698878831799096546787812819546133554702\
96219648
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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