Finite Group Databasebeta

← Group #14512112

Character table — Group #14512112

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size112222336666666688888101212121212121212161616162424242424303030303032323232323232323232323232323232323240120160160160160
order125510102244441010101042020202022020202020202020336642020202024444121215151515303030306060606060606060246666
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111−1−i32−1+i32−1−i32−1+i321111111111−1−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+i3211−1−i32−1−i32−1+i32−1+i32
χ3111111111111111111111111111111−1+i32−1−i32−1+i32−1−i321111111111−1+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−i3211−1+i32−1+i32−1−i32−1−i32
χ4111111111111111111111-111111111111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ5111111111111111111111-111111111−1−i32−1+i32−1−i32−1+i3211111-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ6111111111111111111111-111111111−1+i32−1−i32−1+i32−1−i3211111-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ71111111111111111-1-1-1-1-11111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-1
χ81111111111111111-1-1-1-1-1111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1111111+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i321+i32−1+i321−i32
χ91111111111111111-1-1-1-1-1111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1111111−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i321−i32−1−i321+i32
χ101111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-11
χ111111111111111111-1-1-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111+i32−1−i321−i32−1+i32
χ121111111111111111-1-1-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−i32−1+i321+i32−1−i32
χ1322−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1−52−1+52−1+520000022−1−52−1+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+52000000
χ1422−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−i3−1+i3−1−i3−1+i32−1−52−1−52−1+52−1+5200000−1−i3−1+i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38000000
χ1522−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+i3−1−i3−1+i3−1−i32−1−52−1−52−1+52−1+5200000−1+i3−1−i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58000000
χ1622−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52-21+521+521−521−520−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-21+521+521−521−5200000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000
χ1722−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52-21+521+521−521−520−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−i3−1+i3−1−i3−1+i3-21+521+521−521−52000001+i31−i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38000000
χ1822−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52-21+521+521−521−520−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+i3−1−i3−1+i3−1−i3-21+521+521−521−52000001−i31+i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58000000
χ1922−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−520000022−1+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+52−1−52−1−52000000
χ2022−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−i3−1+i3−1−i3−1+i32−1+52−1+52−1−52−1−5200000−1−i3−1+i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26000000
χ2122−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+i3−1−i3−1+i3−1−i32−1+52−1+52−1−52−1−5200000−1+i3−1−i3−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46000000
χ2222−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52-21−521−521+521+520−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-21−521−521+521+5200000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000
χ2322−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52-21−521−521+521+520−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−i3−1+i3−1−i3−1+i3-21−521−521+521+52000001+i31−i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26000000
χ2422−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52-21−521−521+521+520−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+i3−1−i3−1+i3−1−i3-21−521−521+521+52000001−i31+i3−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46000000
χ252-222-2-2-2222-2-22-22-200000022-2-222-2-222-2-20000000000002222-2-2-2-200000000000000
χ262-222-2-2-2222-2-22-22-200000022-2-222-2-2−1−i3−1+i31+i31−i3000000000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i300000000000000
χ272-222-2-2-2222-2-22-22-200000022-2-222-2-2−1+i3−1−i31−i31+i3000000000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i300000000000000
χ282-2−1−52−1+521+521−52-2222-2-2−1−521+52−1+521−520−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470−1−52−1−521+521+52−1+52−1+521−521−5222-2-20−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000−1−52−1+52−1−52−1+521+521−521+521−52−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−ζ47000000
χ292-2−1−52−1+521+521−52-2222-2-2−1−521+52−1+521−520−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470−1−52−1−521+521+52−1+52−1+521−521−52−1−i3−1+i31+i31−i30−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38−ζ19+ζ31ζ19−ζ31−ζ7+ζ43ζ7−ζ43ζ11−ζ59−ζ11+ζ59ζ23−ζ47−ζ23+ζ47000000
χ302-2−1−52−1+521+521−52-2222-2-2−1−521+52−1+521−520−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470−1−52−1−521+521+52−1+52−1+521−521−52−1+i3−1−i31−i31+i30−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58ζ11−ζ59−ζ11+ζ59ζ23−ζ47−ζ23+ζ47−ζ19+ζ31ζ19−ζ31−ζ7+ζ43ζ7−ζ43000000
χ312-2−1−52−1+521+521−52-2222-2-2−1−521+52−1+521−520ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470−1−52−1−521+521+52−1+52−1+521−521−5222-2-20ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000−1−52−1+52−1−52−1+521+521−521+521−52ζ11−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+ζ47000000
χ322-2−1−52−1+521+521−52-2222-2-2−1−521+52−1+521−520ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470−1−52−1−521+521+52−1+52−1+521−521−52−1−i3−1+i31+i31−i30ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38ζ19−ζ31−ζ19+ζ31ζ7−ζ43−ζ7+ζ43−ζ11+ζ59ζ11−ζ59−ζ23+ζ47ζ23−ζ47000000
χ332-2−1−52−1+521+521−52-2222-2-2−1−521+52−1+521−520ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470−1−52−1−521+521+52−1+52−1+521−521−52−1+i3−1−i31−i31+i30ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58−ζ11+ζ59ζ11−ζ59−ζ23+ζ47ζ23−ζ47ζ19−ζ31−ζ19+ζ31ζ7−ζ43−ζ7+ζ43000000
χ342-2−1+52−1−521−521+52-2222-2-2−1+521−52−1−521+520ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590−1+52−1+521−521−52−1−52−1−521+521+5222-2-20ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000−1+52−1−52−1+52−1−521−521+521−521+52ζ7−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+ζ59000000
χ352-2−1+52−1−521−521+52-2222-2-2−1+521−52−1−521+520ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590−1+52−1+521−521−52−1−52−1−521+521+52−1−i3−1+i31+i31−i30ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26−ζ7+ζ43ζ7−ζ43ζ19−ζ31−ζ19+ζ31ζ23−ζ47−ζ23+ζ47−ζ11+ζ59ζ11−ζ59000000
χ362-2−1+52−1−521−521+52-2222-2-2−1+521−52−1−521+520ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590−1+52−1+521−521−52−1−52−1−521+521+52−1+i3−1−i31−i31+i30ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ23−ζ47−ζ23+ζ47−ζ11+ζ59ζ11−ζ59−ζ7+ζ43ζ7−ζ43ζ19−ζ31−ζ19+ζ31000000
χ372-2−1+52−1−521−521+52-2222-2-2−1+521−52−1−521+520−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590−1+52−1+521−521−52−1−52−1−521+521+5222-2-20−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000−1+52−1−52−1+52−1−521−521+521−521+52−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−ζ59000000
χ382-2−1+52−1−521−521+52-2222-2-2−1+521−52−1−521+520−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590−1+52−1+521−521−52−1−52−1−521+521+52−1−i3−1+i31+i31−i30−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ7−ζ43−ζ7+ζ43−ζ19+ζ31ζ19−ζ31−ζ23+ζ47ζ23−ζ47ζ11−ζ59−ζ11+ζ59000000
χ392-2−1+52−1−521−521+52-2222-2-2−1+521−52−1−521+520−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590−1+52−1+521−521−52−1−52−1−521+521+52−1+i3−1−i31−i31+i30−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46−ζ23+ζ47ζ23−ζ47ζ11−ζ59−ζ11+ζ59ζ7−ζ43−ζ7+ζ43−ζ19+ζ31ζ19−ζ31000000
χ4033333333-1-1-1-13333333333-1-1-1-1-1-1-1-10000-1-1-1-1-13-1-1-1-10000000000000000003-10000
χ4133333333-1-1-1-1333333333-3-1-1-1-1-1-1-1-10000-1-1-1-1-1-31111000000000000000000-310000
χ4233333333-1-1-1-13333-3-3-3-3-33-1-1-1-1-1-1-1-10000111113-1-1-1-1000000000000000000-310000
χ4333333333-1-1-1-13333-3-3-3-3-3-3-1-1-1-1-1-1-1-1000011111-311110000000000000000003-10000
χ44666666-2-22i−2i2i−2i-2-2-2-20000062i−2i2i−2i2i−2i2i−2i000000000-22i2i−2i−2i000000000000000000000000
χ45666666-2-22i−2i2i−2i-2-2-2-200000-62i−2i2i−2i2i−2i2i−2i0000000002−2i−2i2i2i000000000000000000000000
χ46666666-2-2−2i2i−2i2i-2-2-2-2000006−2i2i−2i2i−2i2i−2i2i000000000-2−2i−2i2i2i000000000000000000000000
χ47666666-2-2−2i2i−2i2i-2-2-2-200000-6−2i2i−2i2i−2i2i−2i2i00000000022i2i−2i−2i000000000000000000000000
χ4866−3−352−3+352−3−352−3+35266-2-2-2-2−3−352−3−352−3+352−3+3526−3−352−3−352−3+352−3+35201+521+521+521+521−521−521−521−520000-21+521+521−521−5200000000000000000000000000000
χ4966−3−352−3+352−3−352−3+35266-2-2-2-2−3−352−3−352−3+352−3+352-63+3523+3523−3523−35201+521+521+521+521−521−521−521−5200002−1−52−1−52−1+52−1+5200000000000000000000000000000
χ5066−3+352−3−352−3+352−3−35266-2-2-2-2−3+352−3+352−3−352−3−3526−3+352−3+352−3−352−3−35201−521−521−521−521+521+521+521+520000-21−521−521+521+5200000000000000000000000000000
χ5166−3+352−3−352−3+352−3−35266-2-2-2-2−3+352−3+352−3−352−3−352-63−3523−3523+3523+35201−521−521−521−521+521+521+521+5200002−1+52−1+52−1−52−1−5200000000000000000000000000000
χ526-666-6-62-22i−2i−2i2i-22-220000002i−2i−2i2i2i−2i−2i2i00000000002−2i−2+2i2+2i−2−2i000000000000000000000000
χ536-666-6-62-22i−2i−2i2i-22-220000002i−2i−2i2i2i−2i−2i2i0000000000−2+2i2−2i−2−2i2+2i000000000000000000000000
χ546-666-6-62-2−2i2i2i−2i-22-22000000−2i2i2i−2i−2i2i2i−2i00000000002+2i−2−2i2−2i−2+2i000000000000000000000000
χ556-666-6-62-2−2i2i2i−2i-22-22000000−2i2i2i−2i−2i2i2i−2i0000000000−2−2i2+2i−2+2i2−2i000000000000000000000000
χ566-666-6-6-66-2-2226-66-6000000-2-222-2-22200000000000000000000000000000000000000
χ576-6−3−352−3+3523+3523−352-66-2-222−3−3523+352−3+3523−3520−3ζ11+3ζ19−3ζ31+3ζ593ζ11−3ζ19+3ζ31−3ζ593ζ7−3ζ23−3ζ43+3ζ47−3ζ7+3ζ23+3ζ43−3ζ4701+521+52−1−52−1−521−521−52−1+52−1+5200000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000000000000000000
χ586-6−3−352−3+3523+3523−352-66-2-222−3−3523+352−3+3523−35203ζ11−3ζ19+3ζ31−3ζ59−3ζ11+3ζ19−3ζ31+3ζ59−3ζ7+3ζ23+3ζ43−3ζ473ζ7−3ζ23−3ζ43+3ζ4701+521+52−1−52−1−521−521−52−1+52−1+5200000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000000
χ596-6−3+352−3−3523−3523+352-66-2-222−3+3523−352−3−3523+35203ζ7−3ζ23−3ζ43+3ζ47−3ζ7+3ζ23+3ζ43−3ζ473ζ11−3ζ19+3ζ31−3ζ59−3ζ11+3ζ19−3ζ31+3ζ5901−521−52−1+52−1+521+521+52−1−52−1−5200000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000000000000000000
χ606-6−3+352−3−3523−3523+352-66-2-222−3+3523−352−3−3523+3520−3ζ7+3ζ23+3ζ43−3ζ473ζ7−3ζ23−3ζ43+3ζ47−3ζ11+3ζ19−3ζ31+3ζ593ζ11−3ζ19+3ζ31−3ζ5901−521−52−1+52−1+521+521+52−1−52−1−5200000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000000000000000000
χ611212−3−35−3+35−3−35−3+35-4-44i−4i4i−4i1+51+51−51−5000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000
χ621212−3−35−3+35−3−35−3+35-4-4−4i4i−4i4i1+51+51−51−50000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000
χ631212−3+35−3−35−3+35−3−35-4-44i−4i4i−4i1−51−51+51+5000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000
χ641212−3+35−3−35−3+35−3−35-4-4−4i4i−4i4i1−51−51+51+50000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000
χ6512-12−3−35−3+353+353−354-44i−4i−4i4i1+5−1−51−5−1+5000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000
χ6612-12−3−35−3+353+353−354-4−4i4i4i−4i1+5−1−51−5−1+50000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000
χ6712-12−3+35−3−353−353+354-44i−4i−4i4i1−5−1+51+5−1−5000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000
χ6812-12−3+35−3−353−353+354-4−4i4i4i−4i1−5−1+51+5−1−50000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000

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