Finite Group Databasebeta

← Group #14317021

Character table — Group #14317021

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222244444444444444444488888888888888888888888888816161616161616161616164040404040404848484848484848484860606060808080120120
order122355610104444461010121215153030303030304121212122020202020202020202060606060606060606060606012202060606060606060602466121288404040404040404044448242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ5111111111-1-11111111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111111-11111-1-1-1-111-1-1-1-1-11-1
χ6111111111-1-11111111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1111111-11-1-1-1-11111-1-111-1-1-1-11
χ7111111111-1-11111111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111111-11
χ8111111111-1-11111111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1
χ9222222222002-2-2222-2-22222222202-200-2-2000022-2-200000000-2-2-2-200022-2-2000000000000000000002200000-20
χ10222222222002-2-2222-2-22222222202-200-2-2000022-2-200000000-2-2-2-200022-2-200000000000000000000-2-20000020
χ1122222222200-22-2222-2-2222222220-2200-2-20000-2-22200000000-2-2-2-2000-2-2220000000000000000000000220000-2
χ1222222222200-22-2222-2-2222222220-2200-2-20000-2-22200000000-2-2-2-2000-2-2220000000000000000000000-2-200002
χ1322222222222-2-222222222222222-2-2-222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000
χ14222222222-2-2-2-2222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-222220000000000000000000000000
χ152222−1−52−1+522−1−52−1+52222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+52000000000
χ162222−1−52−1+522−1−52−1+52222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+521−521−52000000000
χ172222−1−52−1+522−1−52−1+5222-2-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222−1−52−1+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−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000
χ182222−1−52−1+522−1−52−1+5222-2-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222−1−52−1+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+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
χ192222−1−52−1+522−1−52−1+52-2-22222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2−1−52−1+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+521−52−1−52−1+52−1−52−1+521+521+521−521−520000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000
χ202222−1−52−1+522−1−52−1+52-2-22222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2−1−52−1+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+521−52−1−52−1+52−1−52−1+521+521+521−521−52000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000000
χ212222−1−52−1+522−1−52−1+52-2-2-2-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+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+521+521−521+521−52−1−52−1−52−1+52−1+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+ζ47000000000
χ222222−1−52−1+522−1−52−1+52-2-2-2-222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+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+521+521−521+521−52−1−52−1−52−1+52−1+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−ζ47000000000
χ232222−1+52−1−522−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52−1−52000000000
χ242222−1+52−1−522−1+52−1−52222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52000000000
χ252222−1+52−1−522−1+52−1−5222-2-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222−1+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+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000
χ262222−1+52−1−522−1+52−1−5222-2-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222−1+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−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000
χ272222−1+52−1−522−1+52−1−52-2-22222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2−1+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+52−1+52−1−52−1+52−1−521−521−521+521+520000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000
χ282222−1+52−1−522−1+52−1−52-2-22222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2−1+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+52−1+52−1−52−1+52−1−521−521−521+521+52000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000000
χ292222−1+52−1−522−1+52−1−52-2-2-2-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+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+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200000000ζ7−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−ζ59000000000
χ302222−1+52−1−522−1+52−1−52-2-2-2-222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+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+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200000000−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+ζ59000000000
χ31222-122-12222222-122-1-1-1-1-1-1-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000000000002-1-100
χ32222-122-12222222-122-1-1-1-1-1-1-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2111100000000000000-21100
χ33222-122-12222-2-22-122-1-1-1-1-1-1-1-1-1-1-211-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-2-21111111100−i3i3−i3i3000000000000000−i3i300
χ34222-122-12222-2-22-122-1-1-1-1-1-1-1-1-1-1-211-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-2-21111111100i3−i3i3−i3000000000000000i3−i300
χ35222-122-122-2-2222-122-1-1-1-1-1-1-1-1-1-1-2-1-11122-2-2-2-2222211111111-1-1-1-11-2-2-1-1-1-1111122-1-1-1-100000000000000-21100
χ36222-122-122-2-2222-122-1-1-1-1-1-1-1-1-1-1-2-1-11122-2-2-2-2222211111111-1-1-1-11-2-2-1-1-1-11111-2-21111000000000000002-1-100
χ37222-122-122-2-2-2-22-122-1-1-1-1-1-1-1-1-1-12111122-2-2-2-2-2-2-2-211111111-1-1-1-1-1221111-1-1-1-100−i3i3−i3i3000000000000000i3−i300
χ38222-122-122-2-2-2-22-122-1-1-1-1-1-1-1-1-1-12111122-2-2-2-2-2-2-2-211111111-1-1-1-1-1221111-1-1-1-100i3−i3i3−i3000000000000000−i3i300
χ394444−1−5−1+54−1−5−1+5004-4-44−1−5−1+5-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+504-4001+51−50000−1−5−1+51+51−5000000001+51+51−51−5000−1−5−1+51+51−500000000000000000000000000000
χ404444−1−5−1+54−1−5−1+500-44-44−1−5−1+5-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-44001+51−500001+51−5−1−5−1+5000000001+51+51−51−50001+51−5−1−5−1+500000000000000000000000000000
χ414444−1+5−1−54−1+5−1−5004-4-44−1+5−1−5-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−504-4001−51+50000−1+5−1−51−51+5000000001−51−51+51+5000−1+5−1−51−51+500000000000000000000000000000
χ424444−1+5−1−54−1+5−1−500-44-44−1+5−1−5-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-44001−51+500001−51+5−1+5−1−5000000001−51−51+51+50001−51+5−1+5−1−500000000000000000000000000000
χ43444-244-244004-4-4-24422-2-2-2-2-2-2-2-20-2200-4-4000044-4-4000000002222000-2-22200000000000000000000000000000
χ44444-244-24400-44-4-24422-2-2-2-2-2-2-2-202-200-4-40000-4-44400000000222200022-2-200000000000000000000000000000
χ45444-2−1−5−1+5-2−1−5−1+5004-4-4-2−1−5−1+5221+521−521+521+521−521−521+521−520-22001+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+520001+521−52−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ580000000000000000000000000
χ46444-2−1−5−1+5-2−1−5−1+5004-4-4-2−1−5−1+5221+521−521+521+521−521−521+521−520-22001+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+520001+521−52−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ580000000000000000000000000
χ47444-2−1−5−1+5-2−1−5−1+500-44-4-2−1−5−1+5221+521−521+521+521−521−521+521−5202-2001+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+52000−1−52−1+521+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ580000000000000000000000000
χ48444-2−1−5−1+5-2−1−5−1+500-44-4-2−1−5−1+5221+521−521+521+521−521−521+521−5202-2001+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+52000−1−52−1+521+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ580000000000000000000000000
χ49444-2−1−5−1+5-2−1−5−1+544444-2−1−5−1+5-2-21+521−521+521+521−521−521+521−524-2-2-2-2−1−5−1+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+521−521−520000000000000000000000000
χ50444-2−1−5−1+5-2−1−5−1+544-4-44-2−1−5−1+5-2-21+521−521+521+521−521−521+521−52-422-2-2−1−5−1+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+520000000000000000000000000
χ51444-2−1−5−1+5-2−1−5−1+5-4-4444-2−1−5−1+5-2-21+521−521+521+521−521−521+521−52-4-2-222−1−5−1+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+51−51+521−521+521−52−1−52−1−52−1+52−1+520000000000000000000000000
χ52444-2−1−5−1+5-2−1−5−1+5-4-4-4-44-2−1−5−1+5-2-21+521−521+521+521−521−521+521−5242222−1−5−1+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+5−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000
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χ58444-2−1+5−1−5-2−1+5−1−544-4-44-2−1+5−1−5-2-21−521+521−521−521+521+521−521+52-422-2-2−1+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+52−1−52−1−520000000000000000000000000
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χ868-80-4−2−25−2+2542+252−25-44000000001+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+50002-2001+5−1−51−5−1+500002ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ342ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ580000000000000000000000000000000000000000
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χ898-80-4−2+25−2−2542−252+25-44000000001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−50002-2001−5−1+51+5−1−500002ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ382ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ340000000000000000000000000000000000000000
χ908-80-4−2+25−2−2542−252+25-44000000001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−50002-2001−5−1+51+5−1−500002ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ582ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ460000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.