Group GAP4(48,19)

Name: (C2 x (C3 : C4)) : C2
Maximal quotients:GAP4(16,3) GAP4(24,7) GAP4(24,8)
Real polynomial:

x^48-289*x^46+30953*x^44-1615306*x^42+45148262*x^40-717734730*x^38+704376258\
7*x^36-45541095762*x^34+202735389278*x^32-638992335463*x^30+1448770820686*x^\
28-2378754226162*x^26+2826499668607*x^24-2414367807682*x^22+1466428304798*x^\
20-625521556067*x^18+185541889974*x^16-38049156594*x^14+5364930579*x^12-5145\
28562*x^10+32816190*x^8-1331610*x^6+31497*x^4-357*x^2+1

Common denominator of the automorphisms:

177152975765466267024241769664117845549918421733850328347040

Complex polynomial:

x^48-288*x^44+35136*x^40-1584720*x^36+32140800*x^32-211465728*x^28+200261859\
84*x^24+59825682432*x^20+951842119680*x^16-562932633600*x^12+124049719296*x^\
8+3009871872*x^4+429981696

Common denominator of the automorphisms:

59664975164917255982205601542144000

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