Group GAP4(64,212)

Name: C2 x (C4 : Q8)
Maximal quotients:GAP4(32,35) GAP4(32,46) GAP4(32,47)
Real polynomial:

x^64-396*x^62+66396*x^60-6377184*x^58+399793559*x^56-17603667576*x^54+570302\
445108*x^52-14030410506156*x^50+268106586556369*x^48-4046515347260232*x^46+4\
8855841252386696*x^44-476527966913146104*x^42+3783762757749536738*x^40-24602\
965184473472016*x^38+131581022576053974000*x^36-580593319222152886056*x^34+2\
117430916840166567662*x^32-6386526511443681746616*x^30+159213037317025308540\
00*x^28-32746546660534191253296*x^26+55398070536210967381058*x^24-7674530559\
9329093195304*x^22+86551102984919427552456*x^20-78855136526184522483672*x^18\
+57471027882952902263089*x^16-33082974056772681485796*x^14+14792176669754691\
301908*x^12-5022531804989252808936*x^10+1254723450395881340039*x^8-220157687\
520882470304*x^6+25213869950592869436*x^4-1654190275088597796*x^2+4594972986\
3572161

Common denominator of the automorphisms:

109233485351595586440474018327431597837952

Complex polynomial:

x^64+657272*x^56+45831952144*x^48+177527305805696*x^40+152806259930874880*x^\
32+41586836548819122176*x^24+2515068409762148061184*x^16+8449233289314980298\
752*x^8+3011361496339065143296

Common denominator of the automorphisms:

45170350463813494289615216682467328

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