Group GAP4(72,28)

Name: C3 x D24
Maximal quotients:GAP4(24,6) GAP4(24,10) GAP4(36,12)
Real polynomial:
x^72-312*x^70+43488*x^68-3622980*x^66+203688522*x^64-8269184700*x^62+2531523\
50856*x^60-6022848917772*x^58+113837599841013*x^56-1738066113195912*x^54+217\
13783254239528*x^52-224219447495767764*x^50+1928989346955424785*x^48-1391293\
5210681846480*x^46+84538238111836641792*x^44-434353478114939010912*x^42+1892\
197921126202349984*x^40-7001924791277692939392*x^38+22031342643042417664512*\
x^36-58959336409033739742720*x^34+134136140329400677938432*x^32-259112190179\
340731068416*x^30+424133771246362088939520*x^28-586598600487898631872512*x^2\
6+682858468566016883822592*x^24-665746231061566743773184*x^22+54015852868801\
9243794432*x^20-361811850680017194319872*x^18+198049192109946848673792*x^16-\
87445376675755428151296*x^14+30621374357894955270144*x^12-831489331112424190\
7712*x^10+1697331793334775054336*x^8-249039857572185636864*x^6+2448689295587\
5934208*x^4-1424293550006206464*x^2+36520347436056576
Common denominator of the automorphisms:
636258837180952553337616851400842994962690993426842525855946270830493696
Complex polynomial:
x^72-x^69+x^66+7*x^63-16*x^60+25*x^57+30*x^54+277*x^51-61*x^48+276*x^45+1910\
*x^42-2675*x^39+4944*x^36+10060*x^33+7580*x^30+34647*x^27+40889*x^24+9691*x^\
21+259905*x^18+32560*x^15+4079*x^12+511*x^9+64*x^6+8*x^3+1
Common denominator of the automorphisms:
88185100227

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