Group GAP4(120,24)

Name: C10 x (C3 : C4)
Maximal quotients:GAP4(24,7) GAP4(40,9) GAP4(60,1) GAP4(60,11)
Real polynomial:
```x^120-2280*x^118+2492400*x^116-1741040000*x^114+873924285000*x^112-336082747\
080000*x^110+103097842136100000*x^108-25935973106659200000*x^106+54592469394\
81707250000*x^104-976202899981201410000000*x^102+150060760839426342750000000\
*x^100-20017619849125765224000000000*x^98+2335066972417377745589500000000*x^\
96-239694638655264325384980000000000*x^94+2176480718940479787524628000000000\
0*x^92-1755826419125238056679968000000000000*x^90+12630681054895995367443849\
7125000000000*x^88-8126908953842047229682387141000000000000*x^86+46891983273\
8332149607271857040000000000000*x^84-243155545699486870836510483031200000000\
00000*x^82+1135168836878939278544495923274775000000000000*x^80-4778209387720\
2996482860601924679000000000000000*x^78+181555909641494973254171881033686750\
0000000000000*x^76-62329592928639097220906900710329600000000000000000*x^74+1\
934685956978978504909081769176987681250000000000000*x^72-5431942159762230216\
8918886340631406450000000000000000*x^70+137985170741308551215417053171657726\
1250000000000000000*x^68-317145294872862314264509705710056129200000000000000\
00000*x^66+659421207256256395594503754306841640375000000000000000000*x^64-12\
399150038916425760512134716840876910800000000000000000000*x^62+2107201979467\
37089354640435867141399444150000000000000000000*x^60-32343015079393676030324\
57043976957705956000000000000000000000*x^58+44792071958298284558340253271381\
932253155781250000000000000000*x^56-5590643537203804528484350027358512795467\
81250000000000000000000*x^54+62799797060766905606989256010095270144548125000\
00000000000000000*x^52-63384249289137407247819092739215764985623500000000000\
000000000000*x^50+5737309041705068125381456687021169571565520312500000000000\
00000000*x^48-46471980196298610998072592356069937541707712500000000000000000\
00000*x^46+33600353801522561501026322192458244792708465625000000000000000000\
000*x^44-2162342401337592139391917269121716826048645000000000000000000000000\
00*x^42+12345674705282216337143734414888824001406009765625000000000000000000\
00*x^40-62300921608802112007582675870626641917629890625000000000000000000000\
00*x^38+27669952955781145796443448291509054432846267187500000000000000000000\
000*x^36-1076284035220312685286587806567094072581912500000000000000000000000\
00000*x^34+36458138193765249026525070901761467056701389062500000000000000000\
0000000*x^32-106847790571796592777476034289217226836615937500000000000000000\
0000000000*x^30+268857033243922012255458039108416228989150312500000000000000\
0000000000000*x^28-575656043894495399288571700248556830751995000000000000000\
0000000000000000*x^26+103769695093431737752695352565916486236961250000000000\
00000000000000000000*x^24-15549455703682424646374560075619898820029000000000\
000000000000000000000000*x^22+1907232578310827320481233310137384628898000000\
0000000000000000000000000000*x^20-187894874780121505745247255693476844214250\
00000000000000000000000000000000*x^18+14519595797633438917843796684807569908\
187500000000000000000000000000000000*x^16-8536011723009238368081944211593810\
985000000000000000000000000000000000000*x^14+3663552234626825514294108129346\
043767500000000000000000000000000000000000*x^12-1080856890926810875113057383\
013114240000000000000000000000000000000000000*x^10+1984725892216467561697408\
71050838375000000000000000000000000000000000000*x^8-185418252283109875967058\
77413714000000000000000000000000000000000000000*x^6+470446549199963435407701\
487425000000000000000000000000000000000000000*x^4-37410892216055128094158944\
60000000000000000000000000000000000000000*x^2+344329848899232198446929000000\
0000000000000000000000000000000000```
Common denominator of the automorphisms:
```1200430585436936784412494798843328990408415971439637663354526792949003334963\
0732418216844186184617379231981835220875205878383157180829232600637924373785\
2317827904209867380253795493527250334208834961079819989240617572768272812994\
1417910617276054901222240785794920766883821546689463444422253236211650982383\
0630553094144202908306838018133438669847759567658552152064083631732624805962\
7411807577294029189694025634258472207681801046457683200075286481453770902776\
4404756680646469952876576654750475688575262521753600000000000000000000000000\
00000000000000```
Complex polynomial:
```x^120-26352*x^110+677468928*x^100-17405761455104*x^90+447187530900602880*x^8\
0-295179554977694613504*x^70+194784727166282160406528*x^60-12845514182734593\
4505213952*x^50+82644958830621521282152267776*x^40-1559890491458476908216320\
0000*x^30+2944230815422218240000000000*x^20-555711725568000000000000000*x^10\
+104857600000000000000000000```
Common denominator of the automorphisms:
`1451263107626363800478261418453707742146251980800000000000000000000`

Database of Galois polynomials by Bill Allombert and Igor Schein.