Group GAP4(96,58)

Name: C3 x (C4 . D8 = C4 . (C4 x C2))
Maximal quotients:GAP4(32,15) GAP4(48,22)
Real polynomial:
x^96-288*x^94+37728*x^92-2995920*x^90+162247704*x^88-6396321168*x^86+1914382\
01016*x^84-4481048655504*x^82+83886502493520*x^80-1278119494435968*x^78+1607\
4425574533808*x^76-168806503269242496*x^74+1494414596235683736*x^72-11241508\
435628654304*x^70+72330764775823104048*x^68-400280761142618219712*x^66+19140\
18156789565365864*x^64-7938158133748004445888*x^62+28644474570505843590720*x\
^60-90157922780014909112256*x^58+248011921818720951188112*x^56-5971776536873\
41807660992*x^54+1259985001095026740487808*x^52-2331056474930669002725888*x^\
50+3782660337554299612406208*x^48-5383617543315728698291200*x^46+67174650960\
23862169198272*x^44-7342763252574393296059392*x^42+7023396370009655580825888\
*x^40-5869654660018729590626304*x^38+4277793664785114842706432*x^36-27122768\
22443103779702400*x^34+1491745346062112466557136*x^32-7092203813474481153815\
04*x^30+290246193807501124622592*x^28-101731693678056544591872*x^26+30353399\
024742165094272*x^24-7652757476261055838464*x^22+1615758014408133194496*x^20\
-282518532415800039168*x^18+40342248131383604736*x^16-4621081397819913216*x^\
14+414748832363983872*x^12-28249210361097216*x^10+1395370468420992*x^8-46678\
376217600*x^6+945947973888*x^4-9523422720*x^2+34012224
Common denominator of the automorphisms:
1068421404016613064361020906775447835481783867934555702188466496784305075152\
4887853546932731308040039095543078318453600742124519175791506332981375126260\
679066903991331389918943754039553291384202830771761258412188072826193152
Complex polynomial:
x^96+288*x^94+37728*x^92+2995920*x^90+162247704*x^88+6396321168*x^86+1914382\
01016*x^84+4481048655504*x^82+83886502493520*x^80+1278119494435968*x^78+1607\
4425574533808*x^76+168806503269242496*x^74+1494414596235683736*x^72+11241508\
435628654304*x^70+72330764775823104048*x^68+400280761142618219712*x^66+19140\
18156789565365864*x^64+7938158133748004445888*x^62+28644474570505843590720*x\
^60+90157922780014909112256*x^58+248011921818720951188112*x^56+5971776536873\
41807660992*x^54+1259985001095026740487808*x^52+2331056474930669002725888*x^\
50+3782660337554299612406208*x^48+5383617543315728698291200*x^46+67174650960\
23862169198272*x^44+7342763252574393296059392*x^42+7023396370009655580825888\
*x^40+5869654660018729590626304*x^38+4277793664785114842706432*x^36+27122768\
22443103779702400*x^34+1491745346062112466557136*x^32+7092203813474481153815\
04*x^30+290246193807501124622592*x^28+101731693678056544591872*x^26+30353399\
024742165094272*x^24+7652757476261055838464*x^22+1615758014408133194496*x^20\
+282518532415800039168*x^18+40342248131383604736*x^16+4621081397819913216*x^\
14+414748832363983872*x^12+28249210361097216*x^10+1395370468420992*x^8+46678\
376217600*x^6+945947973888*x^4+9523422720*x^2+34012224
Common denominator of the automorphisms:
1068421404016613064361020906775447835481783867934555702188466496784305075152\
4887853546932731308040039095543078318453600742124519175791506332981375126260\
679066903991331389918943754039553291384202830771761258412188072826193152

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.