Group GAP4(56,11)

Name: (C2 x C2 x C2) : C7
Maximal quotient:GAP4(7,1)
Real polynomial:
```x^56-136*x^54+8160*x^52-287272*x^50+6654522*x^48-107817220*x^46+1268293608*x\
^44-11103527020*x^42+73605553763*x^40-374068526444*x^38+1470501002744*x^36-4\
499637510176*x^34+10760823306712*x^32-20154322983904*x^30+29569338948038*x^2\
8-33928951998424*x^26+30341128666675*x^24-21027105638960*x^22+11201496306718\
*x^20-4535516360028*x^18+1374594825082*x^16-305402343872*x^14+48337256270*x^\
12-5235501916*x^10+366282217*x^8-15196640*x^6+326986*x^4-2764*x^2+1```
Common denominator of the automorphisms:
```3174964771661449856809901294715031943887381619992515872130075658322130469631\
794560746181979596809079156920196515025826756```
Complex polynomial:
```x^56-19*x^54+167*x^52-959*x^50+4392*x^48-16104*x^46+37943*x^44-19997*x^42-15\
4302*x^40+424873*x^38-220758*x^36-891797*x^34+1554427*x^32+263887*x^30-22533\
43*x^28+689879*x^26+805483*x^24-845033*x^22+792810*x^20+1400133*x^18+315130*\
x^16-152797*x^14-43841*x^12+27848*x^10+17852*x^8+4369*x^6+559*x^4+37*x^2+1```
Common denominator of the automorphisms:
```1194516052263145182831219354049610891746098403740584714960293291944220805813\
0966```

Database of Galois polynomials by Bill Allombert and Igor Schein.