Group GAP4(96,223)

Name: C6 x ((C4 x C2) : C2)
Maximal quotients:GAP4(32,48) GAP4(48,47) GAP4(48,52)
Real polynomial:
x^96-600*x^94+145056*x^92-19342800*x^90+1631098836*x^88-94019314800*x^86+389\
5354124160*x^84-120138298399320*x^82+2830175573183294*x^80-51941067673323720\
*x^78+754277447279526144*x^76-8776561556917228920*x^74+82672589961399861328*\
x^72-635849623990366981680*x^70+4021693821333254495520*x^68-2104431594492401\
8345560*x^66+91564196531128486876605*x^64-332675928290557267077720*x^62+1012\
874759870875488778752*x^60-2591762276741228670104880*x^58+558687621140229642\
4757724*x^56-10164683465878524820059240*x^54+15631157523565334104653024*x^52\
-20337618605162968241395440*x^50+22401908632851042413304674*x^48-20894782121\
536293316433280*x^46+16499709286344007140417216*x^44-11023970206533851246382\
120*x^42+6225460686542952868045956*x^40-2967043183403808286782120*x^38+11910\
40757632359518495808*x^36-401678470606665223382520*x^34+11345548148873951746\
1134*x^32-26738365728892904165040*x^30+5234342459963304533664*x^28-846650660\
254171780680*x^26+112443395521937177148*x^24-12170452248244600560*x^22+10639\
71593704302816*x^20-74315813135902320*x^18+4092174529759596*x^16-17470403486\
0760*x^14+5661423997728*x^12-135477394440*x^10+2306991272*x^8-26517240*x^6+1\
89312*x^4-720*x^2+1
Common denominator of the automorphisms:
4007838433068470325845971533052152507330135818172689278009529179556970915827\
1501151008589103472039858065740120350848640967620151509358476939950256846489\
60
Complex polynomial:
x^96-322*x^72+103683*x^48-322*x^24+1
Common denominator of the automorphisms:
14930352

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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