Finite Group Databasebeta

← Group #11755356

Character table — Group #11755356

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222224444444444444444444444466101012121212121212121220202020203030601111222222222222444444444444444444444446610101212121212121212122020202020303060
order122235566610101010101026610101010151530303030303030303030303030304444420202020202020204121212124422222610106661010101010102661010101030303030303030303030303030303030444442020202020202020412121212442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-11111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-1
χ61111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11-1-111-1-111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11-1-111-1-11
χ71111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1-1-111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1-1-11
χ81111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-11111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1
χ922222−1−52−1+52222−1−52−1+52−1−52−1−52−1+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+52−1+52−1+5222002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+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+52−1+52−1+5222002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ1022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+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+52−1+52−1+52-2-200-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+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+52−1+52−1+52-2-200-21+521+521−521−521+521+521−521−5200000000
χ1122222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522200-2−1−52−1−52−1+52−1+521+521+521−521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522200-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ1222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-20021+521+521−521−52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-20021+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ1322222−1+52−1−52222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5222002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5222002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ1422222−1+52−1−52222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-200-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-200-21−521−521+521+521−521−521+521+5200000000
χ1522222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522200-2−1+52−1+52−1−52−1−521−521−521+521+520000000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522200-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ1622222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-20021−521−521+521+52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-20021−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ172222-122-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000002-1-1-1-10002222-122-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000002-1-1-1-1000
χ182222-122-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000000-211110002222-122-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000000-21111000
χ192222-122-1-1-1222222-211-2-2-2-2-1-1-1-1-1-1-1-1111111110022000000000-2-1-1110002222-122-1-1-1222222-211-2-2-2-2-1-1-1-1-1-1-1-1111111110022000000000-2-1-111000
χ202222-122-1-1-1222222-211-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-2000000000211-1-10002222-122-1-1-1222222-211-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-2000000000211-1-1000
χ2122-2-22222-2-2-2-22-22-20000000222-2-22-2-200000000002i−2i00000000002i−2i0000022-2-22222-2-2-2-22-22-20000000222-2-22-2-200000000002i−2i00000000002i−2i00000
χ2222-2-22222-2-2-2-22-22-20000000222-2-22-2-20000000000−2i2i0000000000−2i2i0000022-2-22222-2-2-2-22-22-20000000222-2-22-2-20000000000−2i2i0000000000−2i2i00000
χ2322-2-2-122-111-2-22-22-20−i3i30000-1-1-111-111−i3−i3i3i3−i3−i3i3i3002i−2i0000000000−ii3−300022-2-2-122-111-2-22-22-20−i3i30000-1-1-111-111−i3−i3i3i3−i3−i3i3i3002i−2i0000000000−ii3−3000
χ2422-2-2-122-111-2-22-22-20−i3i30000-1-1-111-111−i3−i3i3i3−i3−i3i3i300−2i2i0000000000i−i−3300022-2-2-122-111-2-22-22-20−i3i30000-1-1-111-111−i3−i3i3i3−i3−i3i3i300−2i2i0000000000i−i−33000
χ2522-2-2-122-111-2-22-22-20i3−i30000-1-1-111-111i3i3−i3−i3i3i3−i3−i3002i−2i0000000000−ii−3300022-2-2-122-111-2-22-22-20i3−i30000-1-1-111-111i3i3−i3−i3i3i3−i3−i3002i−2i0000000000−ii−33000
χ2622-2-2-122-111-2-22-22-20i3−i30000-1-1-111-111i3i3−i3−i3i3i3−i3−i300−2i2i0000000000i−i3−300022-2-2-122-111-2-22-22-20i3−i30000-1-1-111-111i3i3−i3−i3i3i3−i3−i300−2i2i0000000000i−i3−3000
χ272-22-2222-22-222-2-2-2-2000000022-22-2-22-2000000002i−2i0002i−2i2i−2i0000000000002-22-2222-22-222-2-2-2-2000000022-22-2-22-2000000002i−2i0002i−2i2i−2i000000000000
χ282-22-2222-22-222-2-2-2-2000000022-22-2-22-200000000−2i2i000−2i2i−2i2i0000000000002-22-2222-22-222-2-2-2-2000000022-22-2-22-200000000−2i2i000−2i2i−2i2i000000000000
χ292-22-22−1−52−1+52-22-2−1−52−1+521+521+521−521−52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+521+52−1−521+521−52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582i−2i000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000002-22-22−1−52−1+52-22-2−1−52−1+521+521+521−521−52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+521+52−1−521+521−52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582i−2i000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000
χ302-22-22−1−52−1+52-22-2−1−52−1+521+521+521−521−52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+521+52−1−521+521−52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2i2i000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000002-22-22−1−52−1+52-22-2−1−52−1+521+521+521−521−52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−52−1+521+52−1−521+521−52−1+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2i2i000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000
χ312-22-22−1−52−1+52-22-2−1−52−1+521+521+521−521−52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1+521+52−1−521+521−52−1+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582i−2i000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000002-22-22−1−52−1+52-22-2−1−52−1+521+521+521−521−52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−1−52−1+521+52−1−521+521−52−1+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582i−2i000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000
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χ1174-4-44-2−1−5−1+522-21+51−51+5−1−51−5−1+500000001+521−52−1−52−1−521+52−1+52−1+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000-444-421+51−5-2-22−1−5−1+5−1−51+5−1+51−50000000−1−52−1+521+521+52−1−521−521−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000
χ1184-4-44-2−1−5−1+522-21+51−51+5−1−51−5−1+500000001+521−52−1−52−1−521+52−1+52−1+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000-444-421+51−5-2-22−1−5−1+5−1−51+5−1+51−50000000−1−52−1+521+521+52−1−521−521−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000
χ1194-4-44-2−1+5−1−522-21−51+51−5−1+51+5−1−500000001−521+52−1+52−1+521−52−1−52−1−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000-444-421−51+5-2-22−1+5−1−5−1+51−5−1−51+50000000−1+52−1−521−521−52−1+521+521+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000
χ1204-4-44-2−1+5−1−522-21−51+51−5−1+51+5−1−500000001−521+52−1+52−1+521−52−1−52−1−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46000000000000000000000-444-421−51+5-2-22−1+5−1−5−1+51−5−1−51+50000000−1+52−1−521−521−52−1+521+521+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46000000000000000000000

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