Group GAP4(64,154)

Name: (C2 x Q16) : C2
Maximal quotient:GAP4(32,28)
Real polynomial:

x^64-480*x^62+88560*x^60-9024000*x^58+588870960*x^56-26646019200*x^54+878103\
921600*x^52-21780163296000*x^50+416194458717600*x^48-6232297393152000*x^46+7\
4065700999808000*x^44-705187693975680000*x^42+5416607463473088000*x^40-33730\
273210302720000*x^38+170831795215547520000*x^36-704852130194841600000*x^34+2\
369850373095936480000*x^32-6485796750143692800000*x^30+144132927152320512000\
00*x^28-25908729197628672000000*x^26+37469295125806924800000*x^24-4328862034\
7386368000000*x^22+39591820142486784000000*x^20-28340664204902400000000*x^18\
+15651600697512576000000*x^16-6549332648232960000000*x^14+202908150710784000\
0000*x^12-451663299072000000000*x^10+69389852636160000000*x^8-69603287040000\
00000*x^6+420575846400000000*x^4-13436928000000000*x^2+167961600000000

Common denominator of the automorphisms:

2058669296881704105621593878496086896753149865179872800256819200000000

Complex polynomial:

x^64+196*x^56+185318*x^48+54060916*x^40+6028548449*x^32-10595939536*x^24+711\
9176288*x^16-1475789056*x^8+1475789056

Common denominator of the automorphisms:

27507055120097280000

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