Finite Group Databasebeta

← Group #14316957

Character table — Group #14316957

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11222222244444444444444448888888888888888888888888888161616161616161616161640404040404048484848484848484848808080120120120120
order12235561010444610101212151530303030303024121212122020202020202020202060606060606060606060606061010303030306060606024661212884040404040404040824244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-11-1-1-1-11111-1-1-1-11-11
χ71111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-1111-11-11
χ81111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111111111-11-1
χ92222222222-2-2222-2-222222222002-200-2-2000022-2-200000000-2-2-2-2000000022-2-2000000000000000000020-20
χ102222222222-2-2222-2-222222222002-200-2-2000022-2-200000000-2-2-2-2000000022-2-20000000000000000000-2020
χ11222222222-22-2222-2-22222222200-2200-2-20000-2-22200000000-2-2-2-20000000-2-2220000000000000000000020-2
χ12222222222-22-2222-2-22222222200-2200-2-20000-2-22200000000-2-2-2-20000000-2-22200000000000000000000-202
χ13222222222-2-2222222222222222-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222-2-2-2-200000000000000000000000
χ14222222222-2-222222222222222-22-2-222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-200000000000000000000000
χ152222−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+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+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ162222−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+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+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000000-2-21+521+521−521−521+521+521−521−520000000
χ172222−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−52−1−52−1+52−1−52−1+520000002-2−1−52−1−52−1+52−1+521+521+521−521−520000000
χ182222−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−52−1−52−1+52−1−52−1+52000000-221+521+521−521−52−1−52−1−52−1+52−1+520000000
χ192222−1−52−1+522−1−52−1+52-2-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000
χ202222−1−52−1+522−1−52−1+52-2-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2−1−52−1+521+521+521−521−521+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000
χ212222−1−52−1+522−1−52−1+52-2-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521−521+521−5200000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000
χ222222−1−52−1+522−1−52−1+52-2-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521−521+521−5200000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000
χ232222−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ242222−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000000-2-21−521−521+521+521−521−521+521+520000000
χ252222−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-21−521+521−521−521+521+52−1+52−1−52−1+52−1−520000002-2−1+52−1+52−1−52−1−521−521−521+521+520000000
χ262222−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-21−521+521−521−521+521+52−1+52−1−52−1+52−1−52000000-221−521−521+521+52−1+52−1+52−1−52−1−520000000
χ272222−1+52−1−522−1+52−1−52-2-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2−1+52−1−521−521−521+521+521−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000
χ282222−1+52−1−522−1+52−1−52-2-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2−1+52−1−521−521−521+521+521−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000
χ292222−1+52−1−522−1+52−1−52-2-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+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+5200000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000
χ302222−1+52−1−522−1+52−1−52-2-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+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+5200000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000
χ31222-122-122222-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000002-1-10000
χ32222-122-122222-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-211110000000000-2110000
χ33222-122-122222-122-1-1-1-1-1-1-1-1-1-1-2-2-1-11122-2-2-2-2222211111111-1-1-1-11-2-21111-1-1-1-122-1-1-1-10000000000-2110000
χ34222-122-122222-122-1-1-1-1-1-1-1-1-1-1-2-2-1-11122-2-2-2-2222211111111-1-1-1-11-2-21111-1-1-1-1-2-2111100000000002-1-10000
χ35222-122-122-2-22-122-1-1-1-1-1-1-1-1-1-12-2111122-2-2-2-2-2-2-2-211111111-1-1-1-1-122-1-1-1-1111100−i3i3−i3i300000000000−i3i30000
χ36222-122-122-2-22-122-1-1-1-1-1-1-1-1-1-12-2111122-2-2-2-2-2-2-2-211111111-1-1-1-1-122-1-1-1-1111100i3−i3i3−i300000000000i3−i30000
χ37222-122-122-2-22-122-1-1-1-1-1-1-1-1-1-1-2211-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-2-21111111100−i3i3−i3i300000000000i3−i30000
χ38222-122-122-2-22-122-1-1-1-1-1-1-1-1-1-1-2211-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-2-21111111100i3−i3i3−i300000000000−i3i30000
χ394444−1−5−1+54−1−5−1+54-4-44−1−5−1+5-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5004-4001+51−50000−1−5−1+51+51−5000000001+51+51−51−50000000−1−5−1+51+51−500000000000000000000000
χ404444−1−5−1+54−1−5−1+5-44-44−1−5−1+5-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-44001+51−500001+51−5−1−5−1+5000000001+51+51−51−500000001+51−5−1−5−1+500000000000000000000000
χ414444−1+5−1−54−1+5−1−54-4-44−1+5−1−5-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5004-4001−51+50000−1+5−1−51−51+5000000001−51−51+51+50000000−1+5−1−51−51+500000000000000000000000
χ424444−1+5−1−54−1+5−1−5-44-44−1+5−1−5-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-44001−51+500001−51+5−1+5−1−5000000001−51−51+51+500000001−51+5−1+5−1−500000000000000000000000
χ43444-244-2444-4-4-24422-2-2-2-2-2-2-2-200-2200-4-4000044-4-40000000022220000000-2-22200000000000000000000000
χ44444-244-244-44-4-24422-2-2-2-2-2-2-2-2002-200-4-40000-4-444000000002222000000022-2-200000000000000000000000
χ45444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+5-2-21+521−521+521+521−521−521+521−5244-2-2-2-2−1−5−1+5−1−5−1−5−1+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+521−5200000000000000000000000
χ46444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+5-2-21+521−521+521+521−521−521+521−52-4-4-2-222−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5221+51−5−1−52−1−52−1+52−1+521+521−521+521−5200000000000000000000000
χ47444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+5221+521−521+521+521−521−521+521−5200-22001+51−50000−1−5−1+51+51−5ζ14−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+ζ58−1−52−1−52−1+52−1+52000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ581+521−52−1−52−1+5200000000000000000000000
χ48444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+5221+521−521+521+521−521−521+521−5200-22001+51−50000−1−5−1+51+51−5−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−ζ58−1−52−1−52−1+52−1+52000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ581+521−52−1−52−1+5200000000000000000000000
χ49444-2−1−5−1+5-2−1−5−1+5-44-4-2−1−5−1+5221+521−521+521+521−521−521+521−52002-2001+51−500001+51−5−1−5−1+5ζ14−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+ζ58−1−52−1−52−1+52−1+52000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−1−52−1+521+521−5200000000000000000000000
χ50444-2−1−5−1+5-2−1−5−1+5-44-4-2−1−5−1+5221+521−521+521+521−521−521+521−52002-2001+51−500001+51−5−1−5−1+5−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−ζ58−1−52−1−52−1+52−1+52000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−1−52−1+521+521−5200000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+5-4-44-2−1−5−1+5-2-21+521−521+521+521−521−521+521−524-42222−1−5−1+51+51+51−51−51+51−51+51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-2−1−5−1+51+521+521−521−52−1−52−1+52−1−52−1+5200000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+5-4-44-2−1−5−1+5-2-21+521−521+521+521−521−521+521−52-4422-2-2−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51−51+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+5200000000000000000000000
χ53444-2−1+5−1−5-2−1+5−1−5444-2−1+5−1−5-2-21−521+521−521−521+521+521−521+5244-2-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5−1+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+5200000000000000000000000
χ54444-2−1+5−1−5-2−1+5−1−5444-2−1+5−1−5-2-21−521+521−521−521+521+521−521+52-4-4-2-222−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+5221−51+5−1+52−1+52−1−52−1−521−521+521−521+5200000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.