Group GAP4(42,3)

Name: C7 x S3
Maximal quotients:GAP4(6,1) GAP4(14,2)
Real polynomial:

x^42-136*x^40+8026*x^38-273576*x^36+6052253*x^34-92411582*x^32+1008728426*x^\
30-8026067380*x^28+46938257774*x^26-201606584458*x^24+630144063977*x^22-1408\
482502598*x^20+2195611419763*x^18-2317138276310*x^16+1608865241021*x^14-7119\
86194028*x^12+192461230428*x^10-29991580312*x^8+2504720144*x^6-101501888*x^4\
+1526784*x^2-128

Common denominator of the automorphisms:

3037076442030330820965640980836746698425876512327801041680204902090004288

Complex polynomial:

x^42+5628*x^36+6081948*x^30+591875154*x^24+13729244364*x^18+49018562640*x^12\
+31627665*x^6+2187

Common denominator of the automorphisms:

12376597418971401000252926117914902

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