Finite Group Databasebeta

← Group #14279505

Character table — Group #14279505

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444888888888888888888888888888888161616161616161616161648484848484848484848808080808080120120240
order12235561010461010151530303030303022466101010101212122020202020206060606060606060606060606101030303030303030304420202020202020204412121212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111-1-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−ii−iii−i−i11-1
χ6111111111111111111111-1-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i−ii−i−iii-1-11
χ7111111111111111111111-1-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiiii−iii−i−i-1-11
χ8111111111111111111111-1-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−ii−i−iii11-1
χ92222222222222222222222-2-2-2-222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-22-2-22222-2-2-2-20000000000000000000
χ10222222222222222222222-22-222-2-2-2-22-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000
χ112222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000
χ122222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52000000000
χ132222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-2−1−52−1−52−1+52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000
χ142222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-2−1−52−1−52−1+52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521−52−1−52−1−52−1+52−1+521+521+521−521−5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000
χ152222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2221+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+521−521−521−521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000
χ162222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2221+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+521−521−521−521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
χ172222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-2-21+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−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000
χ182222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-2-21+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+521−521−52−2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000
χ192222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000
χ202222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000
χ212222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-2−1+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+5221−521+52−1+52−1+52−1−52−1−521−521−521+521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000
χ222222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-2−1+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+5221−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000
χ232222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2221−521−521+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+52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000
χ242222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2221−521−521+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+52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000
χ252222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-2-21−521−521+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−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000
χ262222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-2-21−521−521+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+52−2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000
χ27222-122-1222-122-1-1-1-1-1-1-1-1222-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000022-1-1-1-1000
χ28222-122-1222-122-1-1-1-1-1-1-1-1222-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000-2-21111000
χ29222-122-1222-122-1-1-1-1-1-1-1-12-2-2112222-11122-2-2-2-2-1-1-1-111111111-1-2-2-1-1-1-111110000000000003−33−3000
χ30222-122-1222-122-1-1-1-1-1-1-1-12-2-2112222-11122-2-2-2-2-1-1-1-111111111-1-2-2-1-1-1-11111000000000000−33−33000
χ31222-122-1222-122-1-1-1-1-1-1-1-1-22-2-1-1-2-2-2-2-11122-2-2-2-2-1-1-1-1111111111221111-1-1-1-1000000000000−i3i3i3−i3000
χ32222-122-1222-122-1-1-1-1-1-1-1-1-22-2-1-1-2-2-2-2-11122-2-2-2-2-1-1-1-1111111111221111-1-1-1-1000000000000i3−i3−i3i3000
χ33222-122-1222-122-1-1-1-1-1-1-1-1-2-2211-2-2-2-2-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-11-2-21111111100000000002i−2i−i−iii000
χ34222-122-1222-122-1-1-1-1-1-1-1-1-2-2211-2-2-2-2-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-11-2-2111111110000000000−2i2iii−i−i000
χ35444444444-444444444444000000000-400-4-40000-4-4-4-400000000000000000000000000000000000000
χ364444−1−5−1+54−1−5−1+5-44−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+500000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58-4001+51−500001+51+51−51−500000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000
χ374444−1−5−1+54−1−5−1+5-44−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58-4001+51−500001+51+51−51−5000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000
χ384444−1+5−1−54−1+5−1−5-44−1+5−1−5−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46-4001−51+500001−51−51+51+5000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000
χ394444−1+5−1−54−1+5−1−5-44−1+5−1−5−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−500000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46-4001−51+500001−51−51+51+500000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000
χ40444-244-244-4-244-2-2-2-2-2-2-2-2000−2i32i30000200-4-400002222000000000000000−2i32i3−2i32i30000000000000000000
χ41444-244-244-4-244-2-2-2-2-2-2-2-20002i3−2i30000200-4-4000022220000000000000002i3−2i32i3−2i30000000000000000000
χ42444-2−1−5−1+5-2−1−5−1+54-2−1−5−1+51+521−521+521+521+521−521−521−52444-2-2−1−5−1−5−1+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+521−521−520000000000000000000
χ43444-2−1−5−1+5-2−1−5−1+54-2−1−5−1+51+521−521+521+521+521−521−521−524-4-422−1−5−1−5−1+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+52-21+51−51+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000
χ44444-2−1−5−1+5-2−1−5−1+54-2−1−5−1+51+521−521+521+521+521−521−521−52-44-4-2-21+51+51−51−5-222−1−5−1+51+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000
χ45444-2−1−5−1+5-2−1−5−1+54-2−1−5−1+51+521−521+521+521+521−521−521−52-4-44221+51+51−51−5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−5221+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000
χ46444-2−1−5−1+5-2−1−5−1+5-4-2−1−5−1+51+521−521+521+521+521−521−521−52000−2i32i3−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582001+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+ζ58000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000
χ47444-2−1−5−1+5-2−1−5−1+5-4-2−1−5−1+51+521−521+521+521+521−521−521−52000−2i32i32ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582001+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−ζ58000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000
χ48444-2−1−5−1+5-2−1−5−1+5-4-2−1−5−1+51+521−521+521+521+521−521−521−520002i3−2i3−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582001+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−ζ58000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.