Finite Group Databasebeta

← Group #14512564

Character table — Group #14512564

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size112444558881010101010202020336121212151524242430303030306060604481616162020323232404040404080808044816161620203232324040404040808080
order1242510441010202444448822421010441010202444448836126153012123030606121212121224243612615301212303060612121212122424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-11-1-1111111111111-1-1-1-11-1-1111111111111-1-1-1-11-1-1111111111111-1-1-1-11-1-1
χ3111111-1-1111-1ii−i−i-1i−i111111-1-1111-1ii−i−i-1i−i111111-1-1111-1ii−i−i-1i−i111111-1-1111-1ii−i−i-1i−i
χ4111111-1-1111-1−i−iii-1−ii111111-1-1111-1−i−iii-1−ii111111-1-1111-1−i−iii-1−ii111111-1-1111-1−i−iii-1−ii
χ5111-11111-1-1111111-1-1-1111-11111-1-1111111-1-1-1111-11111-1-1111111-1-1-1111-11111-1-1111111-1-1-1
χ6111-11111-1-111-1-1-1-1-111111-11111-1-111-1-1-1-1-111111-11111-1-111-1-1-1-1-111111-11111-1-111-1-1-1-1-111
χ7111-111-1-1-1-11-1ii−i−i1−ii111-111-1-1-1-11-1ii−i−i1−ii111-111-1-1-1-11-1ii−i−i1−ii111-111-1-1-1-11-1ii−i−i1−ii
χ8111-111-1-1-1-11-1−i−iii1i−i111-111-1-1-1-11-1−i−iii1i−i111-111-1-1-1-11-1−i−iii1i−i111-111-1-1-1-11-1−i−iii1i−i
χ922-20222200-2-2000000022-20222200-2-2000000022-20222200-2-2000000022-20222200-2-20000000
χ1022-2022-2-200-22000000022-2022-2-200-22000000022-2022-2-200-22000000022-2022-2-200-220000000
χ112-2002-22i−2i00001+i−1−i1−i−1+i0002-2002-22i−2i00001+i−1−i1−i−1+i0002-2002-22i−2i00001+i−1−i1−i−1+i0002-2002-22i−2i00001+i−1−i1−i−1+i000
χ122-2002-22i−2i0000−1−i1+i−1+i1−i0002-2002-22i−2i0000−1−i1+i−1+i1−i0002-2002-22i−2i0000−1−i1+i−1+i1−i0002-2002-22i−2i0000−1−i1+i−1+i1−i000
χ132-2002-2−2i2i00001−i−1+i1+i−1−i0002-2002-2−2i2i00001−i−1+i1+i−1−i0002-2002-2−2i2i00001−i−1+i1+i−1−i0002-2002-2−2i2i00001−i−1+i1+i−1−i000
χ142-2002-2−2i2i0000−1+i1−i−1−i1+i0002-2002-2−2i2i0000−1+i1−i−1−i1+i0002-2002-2−2i2i0000−1+i1−i−1−i1+i0002-2002-2−2i2i0000−1+i1−i−1−i1+i000
χ154444-1-100-1-1-1000000004444-1-100-1-1-1000000004444-1-100-1-1-1000000004444-1-100-1-1-100000000
χ16444-4-1-10011-100000000444-4-1-10011-100000000444-4-1-10011-100000000444-4-1-10011-100000000
χ1744-40-1-1005−510000000044-40-1-1005−510000000044-40-1-1005−510000000044-40-1-1005−5100000000
χ1844-40-1-100−5510000000044-40-1-100−5510000000044-40-1-100−5510000000044-40-1-100−55100000000
χ198-800-2200000000000008-800-2200000000000008-800-2200000000000008-800-220000000000000
χ2011111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ21111111111111-1-1-1-11-1-1111111111111-1-1-1-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32
χ22111111-1-1111-1ii−i−i-1i−i111111-1-1111-1ii−i−i-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ23111111-1-1111-1−i−iii-1−ii111111-1-1111-1−i−iii-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ24111-11111-1-1111111-1-1-1111-11111-1-1111111-1-1-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ25111-11111-1-111-1-1-1-1-111111-11111-1-111-1-1-1-1-111−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ26111-111-1-1-1-11-1ii−i−i1−ii111-111-1-1-1-11-1ii−i−i1−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ27111-111-1-1-1-11-1−i−iii1i−i111-111-1-1-1-11-1−i−iii1i−i−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ2822-20222200-2-2000000022-20222200-2-20000000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i3001−i31−i30000000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i3001+i31+i30000000
χ2922-2022-2-200-22000000022-2022-2-200-220000000−1+i3−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i30000000−1−i3−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i30000000
χ302-2002-22i−2i00001+i−1−i1−i−1+i0002-2002-22i−2i00001+i−1−i1−i−1+i000−1+i31−i300−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590000ζ2−ζ11+ζ14−ζ23+ζ26+ζ38−ζ47−ζ59−ζ2+ζ11−ζ14+ζ23−ζ26−ζ38+ζ47+ζ59ζ2+ζ11+ζ14+ζ23+ζ26+ζ38+ζ47+ζ59−ζ2−ζ11−ζ14−ζ23−ζ26−ζ38−ζ47−ζ59000−1−i31+i300−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ430000−ζ7−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46+ζ58ζ7+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46−ζ58ζ7+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ58−ζ7−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ58000
χ312-2002-22i−2i0000−1−i1+i−1+i1−i0002-2002-22i−2i0000−1−i1+i−1+i1−i000−1+i31−i300−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590000−ζ2+ζ11−ζ14+ζ23−ζ26−ζ38+ζ47+ζ59ζ2−ζ11+ζ14−ζ23+ζ26+ζ38−ζ47−ζ59−ζ2−ζ11−ζ14−ζ23−ζ26−ζ38−ζ47−ζ59ζ2+ζ11+ζ14+ζ23+ζ26+ζ38+ζ47+ζ59000−1−i31+i300−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ430000ζ7+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46−ζ58−ζ7−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46+ζ58−ζ7−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ58ζ7+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ58000
χ322-2002-2−2i2i00001−i−1+i1+i−1−i0002-2002-2−2i2i00001−i−1+i1+i−1−i000−1+i31−i300−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ590000ζ2+ζ11+ζ14+ζ23+ζ26+ζ38+ζ47+ζ59−ζ2−ζ11−ζ14−ζ23−ζ26−ζ38−ζ47−ζ59ζ2−ζ11+ζ14−ζ23+ζ26+ζ38−ζ47−ζ59−ζ2+ζ11−ζ14+ζ23−ζ26−ζ38+ζ47+ζ59000−1−i31+i300−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ430000ζ7+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ58−ζ7−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ58−ζ7−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46+ζ58ζ7+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46−ζ58000
χ332-2002-2−2i2i0000−1+i1−i−1−i1+i0002-2002-2−2i2i0000−1+i1−i−1−i1+i000−1+i31−i300−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ590000−ζ2−ζ11−ζ14−ζ23−ζ26−ζ38−ζ47−ζ59ζ2+ζ11+ζ14+ζ23+ζ26+ζ38+ζ47+ζ59−ζ2+ζ11−ζ14+ζ23−ζ26−ζ38+ζ47+ζ59ζ2−ζ11+ζ14−ζ23+ζ26+ζ38−ζ47−ζ59000−1−i31+i300−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ430000−ζ7−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ58ζ7+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ58ζ7+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46−ζ58−ζ7−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46+ζ58000
χ344444-1-100-1-1-1000000004444-1-100-1-1-100000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i32001−i321−i321−i3200000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i32001+i321+i321+i3200000000
χ35444-4-1-10011-100000000444-4-1-10011-100000000−2+2i3−2+2i3−2+2i32−2i31−i321−i3200−1+i32−1+i321−i3200000000−2−2i3−2−2i3−2−2i32+2i31+i321+i3200−1−i32−1−i321+i3200000000
χ3644-40-1-1005−510000000044-40-1-1005−5100000000−2+2i3−2+2i32−2i301−i321−i3200−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−1+i3200000000−2−2i3−2−2i32+2i301+i321+i3200−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−1−i3200000000
χ3744-40-1-100−5510000000044-40-1-100−55100000000−2+2i3−2+2i32−2i301−i321−i3200ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−1+i3200000000−2−2i3−2−2i32+2i301+i321+i3200ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−1−i3200000000
χ388-800-2200000000000008-800-220000000000000−4+4i34−4i3001−i3−1+i30000000000000−4−4i34+4i3001+i3−1−i30000000000000
χ3911111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ40111111111111-1-1-1-11-1-1111111111111-1-1-1-11-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32
χ41111111-1-1111-1ii−i−i-1i−i111111-1-1111-1ii−i−i-1i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ42111111-1-1111-1−i−iii-1−ii111111-1-1111-1−i−iii-1−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ43111-11111-1-1111111-1-1-1111-11111-1-1111111-1-1-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ44111-11111-1-111-1-1-1-1-111111-11111-1-111-1-1-1-1-111−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ45111-111-1-1-1-11-1ii−i−i1−ii111-111-1-1-1-11-1ii−i−i1−ii−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ46111-111-1-1-1-11-1−i−iii1i−i111-111-1-1-1-11-1−i−iii1i−i−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ4722-20222200-2-2000000022-20222200-2-20000000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i3001+i31+i30000000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i3001−i31−i30000000
χ4822-2022-2-200-22000000022-2022-2-200-220000000−1−i3−1−i31+i30−1−i3−1−i31+i31+i3001+i3−1−i30000000−1+i3−1+i31−i30−1+i3−1+i31−i31−i3001−i3−1+i30000000
χ492-2002-22i−2i00001+i−1−i1−i−1+i0002-2002-22i−2i00001+i−1−i1−i−1+i000−1−i31+i300−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ430000−ζ7−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46+ζ58ζ7+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46−ζ58ζ7+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ58−ζ7−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ58000−1+i31−i300−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590000ζ2−ζ11+ζ14−ζ23+ζ26+ζ38−ζ47−ζ59−ζ2+ζ11−ζ14+ζ23−ζ26−ζ38+ζ47+ζ59ζ2+ζ11+ζ14+ζ23+ζ26+ζ38+ζ47+ζ59−ζ2−ζ11−ζ14−ζ23−ζ26−ζ38−ζ47−ζ59000
χ502-2002-22i−2i0000−1−i1+i−1+i1−i0002-2002-22i−2i0000−1−i1+i−1+i1−i000−1−i31+i300−1−i31+i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ430000ζ7+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46−ζ58−ζ7−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46+ζ58−ζ7−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ58ζ7+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ58000−1+i31−i300−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590000−ζ2+ζ11−ζ14+ζ23−ζ26−ζ38+ζ47+ζ59ζ2−ζ11+ζ14−ζ23+ζ26+ζ38−ζ47−ζ59−ζ2−ζ11−ζ14−ζ23−ζ26−ζ38−ζ47−ζ59ζ2+ζ11+ζ14+ζ23+ζ26+ζ38+ζ47+ζ59000
χ512-2002-2−2i2i00001−i−1+i1+i−1−i0002-2002-2−2i2i00001−i−1+i1+i−1−i000−1−i31+i300−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ430000ζ7+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ58−ζ7−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ58−ζ7−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46+ζ58ζ7+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46−ζ58000−1+i31−i300−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ590000ζ2+ζ11+ζ14+ζ23+ζ26+ζ38+ζ47+ζ59−ζ2−ζ11−ζ14−ζ23−ζ26−ζ38−ζ47−ζ59ζ2−ζ11+ζ14−ζ23+ζ26+ζ38−ζ47−ζ59−ζ2+ζ11−ζ14+ζ23−ζ26−ζ38+ζ47+ζ59000
χ522-2002-2−2i2i0000−1+i1−i−1−i1+i0002-2002-2−2i2i0000−1+i1−i−1−i1+i000−1−i31+i300−1−i31+i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ430000−ζ7−ζ19−ζ22−ζ31−ζ34−ζ43−ζ46−ζ58ζ7+ζ19+ζ22+ζ31+ζ34+ζ43+ζ46+ζ58ζ7+ζ19−ζ22+ζ31−ζ34+ζ43−ζ46−ζ58−ζ7−ζ19+ζ22−ζ31+ζ34−ζ43+ζ46+ζ58000−1+i31−i300−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ590000−ζ2−ζ11−ζ14−ζ23−ζ26−ζ38−ζ47−ζ59ζ2+ζ11+ζ14+ζ23+ζ26+ζ38+ζ47+ζ59−ζ2+ζ11−ζ14+ζ23−ζ26−ζ38+ζ47+ζ59ζ2−ζ11+ζ14−ζ23+ζ26+ζ38−ζ47−ζ59000
χ534444-1-100-1-1-1000000004444-1-100-1-1-100000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i32001+i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i32001−i321−i321−i3200000000
χ54444-4-1-10011-100000000444-4-1-10011-100000000−2−2i3−2−2i3−2−2i32+2i31+i321+i3200−1−i32−1−i321+i3200000000−2+2i3−2+2i3−2+2i32−2i31−i321−i3200−1+i32−1+i321−i3200000000
χ5544-40-1-1005−510000000044-40-1-1005−5100000000−2−2i3−2−2i32+2i301+i321+i3200−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58−1−i3200000000−2+2i3−2+2i32−2i301−i321−i3200−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38−1+i3200000000
χ5644-40-1-100−5510000000044-40-1-100−55100000000−2−2i3−2−2i32+2i301+i321+i3200ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−1−i3200000000−2+2i3−2+2i32−2i301−i321−i3200ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−1+i3200000000
χ578-800-2200000000000008-800-220000000000000−4−4i34+4i3001+i3−1−i30000000000000−4+4i34−4i3001−i3−1+i30000000000000
χ583333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ59333333333333-3-3-3-33-3-3-1-1-1-1-1-1-1-1-1-1-1-11111-11100000000000000000000000000000000000000
χ60333333-3-3333-33i3i−3i−3i-33i−3i-1-1-1-1-1-111-1-1-11−i−iii1−ii00000000000000000000000000000000000000
χ61333333-3-3333-3−3i−3i3i3i-3−3i3i-1-1-1-1-1-111-1-1-11ii−i−i1i−i00000000000000000000000000000000000000
χ62333-33333-3-3333333-3-3-3-1-1-11-1-1-1-111-1-1-1-1-1-111100000000000000000000000000000000000000
χ63333-33333-3-333-3-3-3-3-333-1-1-11-1-1-1-111-1-111111-1-100000000000000000000000000000000000000
χ64333-333-3-3-3-33-33i3i−3i−3i3−3i3i-1-1-11-1-11111-11−i−iii-1i−i00000000000000000000000000000000000000
χ65333-333-3-3-3-33-3−3i−3i3i3i33i−3i-1-1-11-1-11111-11ii−i−i-1−ii00000000000000000000000000000000000000
χ6666-60666600-6-60000000-2-220-2-2-2-20022000000000000000000000000000000000000000000000
χ6766-6066-6-600-660000000-2-220-2-222002-2000000000000000000000000000000000000000000000
χ686-6006-66i−6i00003+3i−3−3i3−3i−3+3i000-2200-22−2i2i0000−1−i1+i−1+i1−i00000000000000000000000000000000000000000
χ696-6006-66i−6i0000−3−3i3+3i−3+3i3−3i000-2200-22−2i2i00001+i−1−i1−i−1+i00000000000000000000000000000000000000000
χ706-6006-6−6i6i00003−3i−3+3i3+3i−3−3i000-2200-222i−2i0000−1+i1−i−1−i1+i00000000000000000000000000000000000000000
χ716-6006-6−6i6i0000−3+3i3−3i−3−3i3+3i000-2200-222i−2i00001−i−1+i1+i−1−i00000000000000000000000000000000000000000
χ7212121212-3-300-3-3-300000000-4-4-4-411001110000000000000000000000000000000000000000000000
χ73121212-12-3-30033-300000000-4-4-441100-1-110000000000000000000000000000000000000000000000
χ741212-120-3-30035−35300000000-4-4401100−55-10000000000000000000000000000000000000000000000
χ751212-120-3-300−3535300000000-4-44011005−5-10000000000000000000000000000000000000000000000
χ7624-2400-660000000000000-88002-2000000000000000000000000000000000000000000000000000

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