Group GAP4(96,89)

Name: (C2 x C2 x C2 x S3) : C2
Maximal quotients:GAP4(32,27) GAP4(48,36) GAP4(48,38)
Real polynomial:

x^96-408*x^94+79056*x^92-9692320*x^90+845153640*x^88-55860899040*x^86+291251\
2437504*x^84-123088131188928*x^82+4299764847427152*x^80-125979113233116032*x\
^78+3130735188437518848*x^76-66572262912431778048*x^74+121969152416444236889\
6*x^72-19360397510099399356416*x^70+267423201569988470430720*x^68-3225704528\
459943644838912*x^66+34071082607828896068819456*x^64-31579424612210825639746\
5600*x^62+2572557265019204322225172480*x^60-18439457363779501896151351296*x^\
58+116372328051057481002401040384*x^56-646844011348474232838341828608*x^54+3\
166454356137273200826977058816*x^52-13645846310146145283861753937920*x^50+51\
733267522005984153542214930432*x^48-172357533384084315241399948050432*x^46+5\
03950823972354781059429520506880*x^44-1290928253419431075487042080538624*x^4\
2+2891162866619245764145234195808256*x^40-5647122760718641694040980744306688\
*x^38+9591818795824690921589972209500160*x^36-141191632512961577021115180947\
86560*x^34+17939557679655790219950014651301888*x^32-195825714296801894388764\
44386656256*x^30+18263524367461186590724517866242048*x^28-144585034027172290\
77182948598349824*x^26+9640955028539120570913483163959296*x^24-5364735622698\
024831238090663133184*x^22+2463515040193682370946294232383488*x^20-920968064\
677078739328520901623808*x^18+275671901975303387889495419387904*x^16-6472438\
0649194349518493728112640*x^14+11617175433262007341571880517632*x^12-1542544\
867821149390897487544320*x^10+145041153601275395531404738560*x^8-90603387958\
09423944375599104*x^6+337176302170326365324181504*x^4-5857390439501504383549\
440*x^2+14098400864433199906816

Common denominator of the automorphisms:

9117715342904105070497843131341284457202518384218303375706555152552938399602\
6484259370370238610507015809937926305287187962806608965308198267460388985767\
1542719566065073466722108441944424225534625310112826224056009089464872520908\
8000000

Complex polynomial:

x^96+133200*x^84+1963175616*x^72-220931694115200*x^60+2763253103542816896*x^\
48-255765604015623859200*x^36+6412917294964518137856*x^24+471794398391642112\
00*x^12+93703341895520256

Common denominator of the automorphisms:

29541841824117440688691177590418202698137600000

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