Group GAP4(54,12)

Name: C3 x C3 x S3
Maximal quotients:GAP4(18,3) GAP4(18,5)
Real polynomial:
x^54-150*x^52-148*x^51+8052*x^50+9144*x^49-230251*x^48-247326*x^47+4096578*x\
^46+3918738*x^45-49198464*x^44-41049696*x^43+419089694*x^42+304085586*x^41-2\
616344808*x^40-1663170351*x^39+12244929576*x^38+6918513606*x^37-43658674538*\
x^36-22343954592*x^35+119947140132*x^34+56779139194*x^33-255930840042*x^32-1\
14350262348*x^31+426212648954*x^30+182895224880*x^29-555388851264*x^28-23186\
4891019*x^27+566501866344*x^26+231857611056*x^25-451619362167*x^24-181610986\
956*x^23+280469425662*x^22+110469439256*x^21-135024305658*x^20-51642623538*x\
^19+50067800639*x^18+18322200318*x^17-14186254890*x^16-4857098039*x^15+30416\
59320*x^14+943023522*x^13-487404409*x^12-130544268*x^11+57357132*x^10+123971\
17*x^9-4820352*x^8-759378*x^7+275632*x^6+26748*x^5-9804*x^4-407*x^3+180*x^2-\
1
Common denominator of the automorphisms:
1322920116973515789741922724153163729605036009876594633658434485
Complex polynomial:
x^54-18*x^48+10248*x^45+30834*x^42-153720*x^39+26723634*x^36+158546052*x^33+\
616523004*x^30+1461341630*x^27+2542467042*x^24+2437209306*x^21+1621032477*x^\
18+149518278*x^15+15167754*x^12-28423038*x^9+518616*x^6-302526*x^3+117649
Common denominator of the automorphisms:
1654006002002227439765681108529420

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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