# Group GAP4(48,27)

Name: C3 x Q16
Maximal quotients:GAP4(16,9) GAP4(24,10)
Real polynomial:
```x^48-112*x^46+5516*x^44-159376*x^42+3043096*x^40-41001856*x^38+406306040*x^3\
6-3045107744*x^34+17599310988*x^32-79501181312*x^30+283184699616*x^28-799346\
862720*x^26+1790590285120*x^24-3176783504384*x^22+4438910780864*x^20-4838004\
353280*x^18+4053727559728*x^16-2557894192896*x^14+1181028773568*x^12-3832705\
92768*x^10+82493903744*x^8-10773690368*x^6+737279872*x^4-20898304*x^2+153664```
Common denominator of the automorphisms:
`11114862238131816549387501610223616`
Complex polynomial:
```x^48+112*x^46+5516*x^44+159376*x^42+3043096*x^40+41001856*x^38+406306040*x^3\
6+3045107744*x^34+17599310988*x^32+79501181312*x^30+283184699616*x^28+799346\
862720*x^26+1790590285120*x^24+3176783504384*x^22+4438910780864*x^20+4838004\
353280*x^18+4053727559728*x^16+2557894192896*x^14+1181028773568*x^12+3832705\
92768*x^10+82493903744*x^8+10773690368*x^6+737279872*x^4+20898304*x^2+153664```
Common denominator of the automorphisms:
`11114862238131816549387501610223616`

Database of Galois polynomials by Bill Allombert and Igor Schein.