Group GAP4(72,46)

Name: C2 x S3 x S3
Maximal quotients:GAP4(24,14) GAP4(36,10)
Real polynomial:

x^72-1178*x^70+561264*x^68-143386592*x^66+21981370496*x^64-2154553447808*x^6\
2+141066226238208*x^60-6382823682527360*x^58+205211379938870528*x^56-4797880\
377213304832*x^54+83150525033438871552*x^52-1084940726239721750528*x^50+1079\
1815196950623158272*x^48-82647113557777415929856*x^46+4910962138264691326648\
32*x^44-2277676465368557374472192*x^42+8281745724907264134348800*x^40-236803\
18779590838362046464*x^38+53342806386899814671450112*x^36-947212751183633534\
48185856*x^34+132507931598516226149580800*x^32-145771293783587671966220288*x\
^30+125720630739576097962196992*x^28-84630644283164073912172544*x^26+4420327\
5046709752456282112*x^24-17775668858711601160650752*x^22+5449352808591449886\
031872*x^20-1257735553604204581879808*x^18+215179727930781102768128*x^16-267\
71502902919236157440*x^14+2366698547903283068928*x^12-144589634309678170112*\
x^10+5900579212598706176*x^8-153960180831223808*x^6+2410610524422144*x^4-202\
37885898752*x^2+68719476736

Common denominator of the automorphisms:

3385171665025070387150636557955272790083551384257558302827854696558832118954\
72128

Complex polynomial:

x^72+198*x^60+177423*x^48-1272940*x^36+7539471*x^24-5178*x^12+1

Common denominator of the automorphisms:

559355797757952

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