Group GAP4(64,121)

Name: (C4 x Q8) : C2
Maximal quotients:GAP4(32,25) GAP4(32,43) GAP4(32,44)
Real polynomial:

x^64-216*x^62+20232*x^60-1098360*x^58+38943042*x^56-962439408*x^54+172666735\
92*x^52-231130486152*x^50+2354168790315*x^48-18513200550528*x^46+11366443972\
8648*x^44-549568848281184*x^42+2106734879725092*x^40-6436810698799896*x^38+1\
5737471041780224*x^36-30876775916663736*x^34+48697342224808149*x^32-61773272\
020218168*x^30+62984478011597568*x^28-51515452910307384*x^26+336812206208097\
96*x^24-17510200594317792*x^22+7184997589128984*x^20-2303666422832448*x^18+5\
69404494619803*x^16-106573894336008*x^14+14747971426920*x^12-1461050824176*x\
^10+99114748146*x^8-4320969624*x^6+110172312*x^4-1417176*x^2+6561

Common denominator of the automorphisms:

11775353738438412889542980269027612084377431652884658830940348754467230340

Complex polynomial:

x^64-264*x^56+26960*x^48-143616*x^40+454144*x^32-1099776*x^24+6471680*x^16+3\
93216*x^8+65536

Common denominator of the automorphisms:

590471998865408

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