Group GAP4(24,12)

Name: S4
Maximal quotient:GAP4(6,1)
Real polynomial:

x^24-12*x^23+6*x^22+440*x^21-1659*x^20-2352*x^19+24274*x^18-34812*x^17-66078\
*x^16+249212*x^15-192066*x^14-234528*x^13+515149*x^12-234528*x^11-192066*x^1\
0+249212*x^9-66078*x^8-34812*x^7+24274*x^6-2352*x^5-1659*x^4+440*x^3+6*x^2-1\
2*x+1

Common denominator of the automorphisms:

Complex polynomial:

x^24-12*x^23+70*x^22-264*x^21+727*x^20-1572*x^19+2798*x^18-4206*x^17+5392*x^\
16-5940*x^15+5776*x^14-5298*x^13+5057*x^12-5298*x^11+5776*x^10-5940*x^9+5392\
*x^8-4206*x^7+2798*x^6-1572*x^5+727*x^4-264*x^3+70*x^2-12*x+1

Common denominator of the automorphisms:

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