# Group GAP4(64,230)

Name: Q8 x D8
Maximal quotients:GAP4(32,46) GAP4(32,47) GAP4(32,50)
Real polynomial:
```x^64-840*x^62+294000*x^60-58212000*x^58+7434284900*x^56-659057007000*x^54+42\
491217300000*x^52-2056845065835000*x^50+76484679662466250*x^48-2222400016054\
050000*x^46+51120087732236250000*x^44-940257607832783625000*x^42+13936951209\
930103250000*x^40-167470990038610059375000*x^38+1638609411774631406250000*x^\
36-13094680704212975043750000*x^34+85619425087883995844921875*x^32-458313824\
647454126531250000*x^30+2007296529423923472656250000*x^28-718031869790540629\
5703125000*x^26+20914137409401361189531250000*x^24-4938409254639248245429687\
5000*x^22+93972300025154102753906250000*x^20-142987654407906288996093750000*\
x^18+172233967891744179869628906250*x^16-162111557512880306337890625000*x^14\
+117214035030572340820312500000*x^12-63631398686652255908203125000*x^10+2512\
2087996815811743164062500*x^8-6884891447524760742187500000*x^6+1217026265976\
599121093750000*x^4-121702626597659912109375000*x^2+507094277490249633789062\
5```
Common denominator of the automorphisms:
`1431851079526057840839150174608678043123193359375000000`
Complex polynomial:
```x^64+144*x^60+12132*x^56+381024*x^52+7281738*x^48+89101296*x^44+749446992*x^\
40+4211532144*x^36+16039827603*x^32+37903789296*x^28+60705206352*x^24+649548\
44784*x^20+47775483018*x^16+22499086176*x^12+6447442212*x^8+688747536*x^4+43\
046721```
Common denominator of the automorphisms:
`13445573784997581057600`

Database of Galois polynomials by Bill Allombert and Igor Schein.