# Group GAP4(64,187)

Name: C2 x QD32
Maximal quotients:GAP4(32,19) GAP4(32,39)
Real polynomial:
```x^64-336*x^62+50400*x^60-4521888*x^58+274026816*x^56-11994762528*x^54+395655\
938496*x^52-10123427037024*x^50+205122291157224*x^48-3342005677255392*x^46+4\
4287398006397056*x^44-481459490552432448*x^42+4321142482817588400*x^40-32162\
142741672613824*x^38+199091036009965228416*x^36-1026458526493385794368*x^34+\
4407968966608140605784*x^32-15746080374388008066240*x^30+4666077453871416223\
0656*x^28-114210709562514848072832*x^26+229503174574566150949824*x^24-375504\
372200824994429568*x^22+494801652064605988048128*x^20-5175430763581723191886\
08*x^18+421469082993200929878240*x^16-260294779735786545224832*x^14+11749143\
7306595193053184*x^12-36708023480517726365952*x^10+7281749233316990432448*x^\
8-785523556036288823040*x^6+32564322365867712000*x^4-155022843584496384*x^2+\
133948309548816```
Common denominator of the automorphisms:
`97080208817942497635856536611533399846294645950880710479382479778511200000`
Complex polynomial:
```x^64-32*x^56+448*x^52+698*x^48-6944*x^44+39808*x^40-87360*x^36+155427*x^32+8\
7360*x^28+39808*x^24+6944*x^20+698*x^16-448*x^12-32*x^8+1```
Common denominator of the automorphisms:
`33714907362500`

Database of Galois polynomials by Bill Allombert and Igor Schein.