# Group GAP4(56,12)

Name: C2 x C2 x D14
Maximal quotients:GAP4(8,5) GAP4(28,3)
Real polynomial:
```x^56-420*x^54+73108*x^52-7186608*x^50+454503712*x^48-19879169856*x^46+629314\
583872*x^44-14870850724992*x^42+268122290332160*x^40-3748688203034112*x^38+4\
1138537066079232*x^36-357608341358641152*x^34+2478941744523505664*x^32-13766\
548125319225344*x^30+61412371183846113280*x^28-220264770005107605504*x^26+63\
4609086598017449984*x^24-1464763766204994158592*x^22+2696055165162568548352*\
x^20-3930784481184697024512*x^18+4498345579317360066560*x^16-399186359547115\
8116352*x^14+2702885556626089050112*x^12-1366086150450384470016*x^10+4997321\
16211354304512*x^8-126428144964288380928*x^6+20578072597362638848*x^4-189151\
1843495608320*x^2+72057594037927936```
Common denominator of the automorphisms:
`911092352667160181586786097281267261690266724766371020800000`
Complex polynomial:
```x^56+12*x^52+414*x^48+2093*x^44+7161*x^40+9492*x^36+6344*x^32-3945*x^28+6344\
*x^24+9492*x^20+7161*x^16+2093*x^12+414*x^8+12*x^4+1```
Common denominator of the automorphisms:
`101332133903`

Database of Galois polynomials by Bill Allombert and Igor Schein.