Finite Group Databasebeta

← Group #14313515

Character table — Group #14313515

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222224444444444444488888888888888888888888888888161616161616161616161624242424303040404040484848484848484860606080808080120120
order12235561010224610101515303030303030246610101010121212202020202020606060606060606060606060610103030303030303030444444444420202020202020202441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-111111-1-1-1-1
χ611111111111111111111111-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-111-1-1
χ811111111111111111111111-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-111-1-111
χ9111111111-1-11111111111111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111i−ii−i11i−ii−iii−i−iii−i−i1-1-1i−ii−i1-1
χ10111111111-1-11111111111111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111i−ii−i-1-1−ii−iiii−i−iii−i−i-111−ii−ii-11
χ11111111111-1-11111111111111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111−ii−ii11−ii−ii−i−iii−i−iii1-1-1−ii−ii1-1
χ12111111111-1-11111111111111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111−ii−ii-1-1i−ii−i−i−iii−i−iii-111i−ii−i-11
χ13111111111-1-1111111111111-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1i−i−ii11i−i−iiii−i−i−i−iii1-1-1i−i−ii-11
χ14111111111-1-1111111111111-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1i−i−ii-1-1−iii−iii−i−i−i−iii-111−iii−i1-1
χ15111111111-1-1111111111111-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−iii−i11−iii−i−i−iiiii−i−i1-1-1−iii−i-11
χ16111111111-1-1111111111111-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−iii−i-1-1i−i−ii−i−iiiii−i−i-111i−i−ii1-1
χ172222222222-2-222222222222002-222-2-2-200-2-20000-2-2-2-20000000000022-2-20000000022000000000000-22-2000000
χ182222222222-2-222222222222002-222-2-2-200-2-20000-2-2-2-20000000000022-2-200000000-2-20000000000002-22000000
χ19222222222-22-22222222222200-22-2-222-200-2-20000-2-2-2-200000000000-2-2220000000022000000000000-2-22000000
χ20222222222-22-22222222222200-22-2-222-200-2-20000-2-2-2-200000000000-2-22200000000-2-200000000000022-2000000
χ212222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ222222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-20000001+521−521+521−521+521−521+521−52000000000
χ232222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521−52−1−52−1+52−1−52−1+521+521+521−521−5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000
χ242222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+52000000000
χ252222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-21+521−521+521−522-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+522i−2i2i−2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000
χ262222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-21+521−521+521−522-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−2i2i−2i2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000
χ272222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-21+521−521+521−52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521−521+521+521−521−522i−2i−2i2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000
χ282222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-21+521−521+521−52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521−521+521+521−521−52−2i2i2i−2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000
χ292222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ302222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-20000001−521+521−521+521−521+521−521+52000000000
χ312222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-21−521+52−1+52−1−52−1+52−1−521−521−521+521+5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+52000000000
χ322222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-21−521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000
χ332222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-21−521+521−521+522-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−522i−2i2i−2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000
χ342222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-21−521+521−521+522-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−2i2i−2i2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000
χ352222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-21−521+521−521+52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521+521−521−521+521+522i−2i−2i2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000
χ362222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-21−521+521−521+52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521+521−521−521+521+52−2i2i2i−2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000
χ37222-122-122222-122-1-1-1-1-1-1-1-122-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000222200000000000-1-1-1-100
χ38222-122-122222-122-1-1-1-1-1-1-1-122-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2-2-200000000000111100
χ39222-122-122222-122-1-1-1-1-1-1-1-1-2-2-1-12222-11122-2-2-2-2-1-1-1-1111111111-2-2-1-1-1-1111100000022-2-200000000000-1-11100
χ40222-122-122222-122-1-1-1-1-1-1-1-1-2-2-1-12222-11122-2-2-2-2-1-1-1-1111111111-2-2-1-1-1-11111000000-2-2220000000000011-1-100
χ41222-122-122-2-22-122-1-1-1-1-1-1-1-12-211-2-2-2-2-11122-2-2-2-2-1-1-1-111111111-1221111-1-1-1-10000002i−2i2i−2i00000000000−ii−ii00
χ42222-122-122-2-22-122-1-1-1-1-1-1-1-12-211-2-2-2-2-11122-2-2-2-2-1-1-1-111111111-1221111-1-1-1-1000000−2i2i−2i2i00000000000i−ii−i00
χ43222-122-122-2-22-122-1-1-1-1-1-1-1-1-2211-2-2-2-2-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-11-2-2111111110000002i−2i−2i2i00000000000−iii−i00
χ44222-122-122-2-22-122-1-1-1-1-1-1-1-1-2211-2-2-2-2-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-11-2-211111111000000−2i2i2i−2i00000000000i−i−ii00
χ454444−1−5−1+54−1−5−1+54-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5004-4−1−5−1+51+51−5-4001+51−500001+51+51−51−500000000000−1−5−1+51+51−50000000000000000000000000000000
χ464444−1−5−1+54−1−5−1+5-44-44−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+500-441+51−5−1−5−1+5-4001+51−500001+51+51−51−5000000000001+51−5−1−5−1+50000000000000000000000000000000
χ474444−1+5−1−54−1+5−1−54-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5004-4−1+5−1−51−51+5-4001−51+500001−51−51+51+500000000000−1+5−1−51−51+50000000000000000000000000000000
χ484444−1+5−1−54−1+5−1−5-44-44−1+5−1−5−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−500-441−51+5−1+5−1−5-4001−51+500001−51−51+51+5000000000001−51+5−1+5−1−50000000000000000000000000000000
χ49444-244-2444-4-4-244-2-2-2-2-2-2-2-200-2244-4-4200-4-40000222200000000000-2-2220000000000000000000000000000000
χ50444-244-244-44-4-244-2-2-2-2-2-2-2-2002-2-4-444200-4-4000022220000000000022-2-20000000000000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+51+521−521+521+521+521−521−521−5244-2-2−1−5−1+5−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−52-2−1−5−1+51+521−521+521−521+521+521−521−52000000000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+51+521−521+521+521+521−521−521−52-4-4-2-2−1−5−1+5−1−5−1+5-222−1−5−1+51+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+51−51+521−521+521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ53444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+51+521−521+521+521+521−521−521−5200-22−1−5−1+51+51−52001+51−50000−1−52−1−52−1+52−1+52ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ580001+521−52−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ54444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+51+521−521+521+521+521−521−521−5200-22−1−5−1+51+51−52001+51−50000−1−52−1−52−1+52−1+52−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ580001+521−52−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
χ55444-2−1−5−1+5-2−1−5−1+5-44-4-2−1−5−1+51+521−521+521+521+521−521−521−52002-21+51−5−1−5−1+52001+51−50000−1−52−1−52−1+52−1+52ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58000−1−52−1+521+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.