Finite Group Databasebeta

← Group #14283907

Character table — Group #14283907

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122224444444888888888810101010101010102020202020202020202020202020242424242460606060120111122224444444888888888810101010101010102020202020202020202020202020242424242460606060120
order1222366645101010121215202030303060606060444412121212888812122424242424242424420202020888842222666641010101012123020203030306060606044441212121288881212242424242424242442020202088884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-11
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i11111ii−i−i-11111111111111111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i11111ii−i−i-1
χ61111111111111111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1−i−iii11111111111111111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1−i−iii1
χ71111111111111111111111111-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii11111−i−iii-11111111111111111111111111-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii11111−i−iii-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1ii−i−i11111111111111111111111111-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1ii−i−i1
χ922222222-22222-2-22-2-2222-2-2-2-222-2-222220000-2-200000000000000000022222222-22222-2-22-2-2222-2-2-2-222-2-222220000-2-2000000000000000000
χ1022222222-22222-2-22-2-2222-2-2-2-2-2-222-2-2-2-200002200000000000000000022222222-22222-2-22-2-2222-2-2-2-2-2-222-2-2-2-2000022000000000000000000
χ112222-1-1-1-122222-1-1-122-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000002222-1-1-1-122222-1-1-122-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000
χ122222-1-1-1-122222-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-11111111100000000002222-1-1-1-122222-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-1111111110000000000
χ132222-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-2-2-2-211112i2i−2i−2i11−i−i−i−iiiii00000000002222-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-2-2-2-211112i2i−2i−2i11−i−i−i−iiiii0000000000
χ142222-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-2-2-2-21111−2i−2i2i2i11iiii−i−i−i−i00000000002222-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-2-2-2-21111−2i−2i2i2i11iiii−i−i−i−i0000000000
χ152222-1-1-1-1-2222211-1-2-2-1-1-1111122-2-2-1-1-1-1000011−i3−i3i3i3−i3−i3i3i300000000002222-1-1-1-1-2222211-1-2-2-1-1-1111122-2-2-1-1-1-1000011−i3−i3i3i3−i3−i3i3i30000000000
χ162222-1-1-1-1-2222211-1-2-2-1-1-1111122-2-2-1-1-1-1000011i3i3−i3−i3i3i3−i3−i300000000002222-1-1-1-1-2222211-1-2-2-1-1-1111122-2-2-1-1-1-1000011i3i3−i3−i3i3i3−i3−i30000000000
χ172222-1-1-1-1-2222211-1-2-2-1-1-11111-2-22211110000-1-133−3−3−3−33300000000002222-1-1-1-1-2222211-1-2-2-1-1-11111-2-22211110000-1-133−3−3−3−3330000000000
χ182222-1-1-1-1-2222211-1-2-2-1-1-11111-2-22211110000-1-1−3−33333−3−300000000002222-1-1-1-1-2222211-1-2-2-1-1-11111-2-22211110000-1-1−3−33333−3−30000000000
χ192-22-22-22-202-2-22002002-2-20000002i−2i00001+i−1−i1−i−1+i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000002-22-22-22-202-2-22002002-2-20000002i−2i00001+i−1−i1−i−1+i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ202-22-22-22-202-2-22002002-2-20000002i−2i0000−1−i1+i−1+i1−i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000002-22-22-22-202-2-22002002-2-20000002i−2i0000−1−i1+i−1+i1−i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ212-22-22-22-202-2-22002002-2-2000000−2i2i00001−i−1+i1+i−1−i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000002-22-22-22-202-2-22002002-2-2000000−2i2i00001−i−1+i1+i−1−i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ222-22-22-22-202-2-22002002-2-2000000−2i2i0000−1+i1−i−1−i1+i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000002-22-22-22-202-2-22002002-2-2000000−2i2i0000−1+i1−i−1−i1+i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ232-22-2-11-1102-2-223−3-100-11133−3−3002i−2i−i3−i3i3i31+i−1−i1−i−1+i−ii−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ4300000000002-22-2-11-1102-2-223−3-100-11133−3−3002i−2i−i3−i3i3i31+i−1−i1−i−1+i−ii−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ430000000000
χ242-22-2-11-1102-2-223−3-100-11133−3−3002i−2i−i3−i3i3i3−1−i1+i−1+i1−i−iiζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ4300000000002-22-2-11-1102-2-223−3-100-11133−3−3002i−2i−i3−i3i3i3−1−i1+i−1+i1−i−iiζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ430000000000
χ252-22-2-11-1102-2-223−3-100-11133−3−300−2i2ii3i3−i3−i31−i−1+i1+i−1−ii−iζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ5900000000002-22-2-11-1102-2-223−3-100-11133−3−300−2i2ii3i3−i3−i31−i−1+i1+i−1−ii−iζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ590000000000
χ262-22-2-11-1102-2-223−3-100-11133−3−300−2i2ii3i3−i3−i3−1+i1−i−1−i1+ii−i−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ5900000000002-22-2-11-1102-2-223−3-100-11133−3−300−2i2ii3i3−i3−i3−1+i1−i−1−i1+ii−i−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ590000000000
χ272-22-2-11-1102-2-22−33-100-111−3−333002i−2ii3i3−i3−i31+i−1−i1−i−1+i−iiζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ5900000000002-22-2-11-1102-2-22−33-100-111−3−333002i−2ii3i3−i3−i31+i−1−i1−i−1+i−iiζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ590000000000
χ282-22-2-11-1102-2-22−33-100-111−3−333002i−2ii3i3−i3−i3−1−i1+i−1+i1−i−ii−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ5900000000002-22-2-11-1102-2-22−33-100-111−3−333002i−2ii3i3−i3−i3−1−i1+i−1+i1−i−ii−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ590000000000
χ292-22-2-11-1102-2-22−33-100-111−3−33300−2i2i−i3−i3i3i31−i−1+i1+i−1−ii−iζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ4300000000002-22-2-11-1102-2-22−33-100-111−3−33300−2i2i−i3−i3i3i31−i−1+i1+i−1−ii−iζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ430000000000
χ302-22-2-11-1102-2-22−33-100-111−3−33300−2i2i−i3−i3i3i3−1+i1−i−1−i1+ii−i−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ4300000000002-22-2-11-1102-2-22−33-100-111−3−33300−2i2i−i3−i3i3i3−1+i1−i−1−i1+ii−i−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ430000000000
χ312-2-222-2-22022-2-200200-22-200002i−2i002i−2i2i−2i00000000000000000001−i−1+i1+i−1−i02-2-222-2-22022-2-200200-22-200002i−2i002i−2i2i−2i00000000000000000001−i−1+i1+i−1−i0
χ322-2-222-2-22022-2-200200-22-200002i−2i002i−2i2i−2i0000000000000000000−1+i1−i−1−i1+i02-2-222-2-22022-2-200200-22-200002i−2i002i−2i2i−2i0000000000000000000−1+i1−i−1−i1+i0
χ332-2-222-2-22022-2-200200-22-20000−2i2i00−2i2i−2i2i00000000000000000001+i−1−i1−i−1+i02-2-222-2-22022-2-200200-22-20000−2i2i00−2i2i−2i2i00000000000000000001+i−1−i1−i−1+i0
χ342-2-222-2-22022-2-200200-22-20000−2i2i00−2i2i−2i2i0000000000000000000−1−i1+i−1+i1−i02-2-222-2-22022-2-200200-22-20000−2i2i00−2i2i−2i2i0000000000000000000−1−i1+i−1+i1−i0
χ35444444444-1-1-1-144-1-1-1-1-1-1-1-1-1-100000000000000000000004-1-1-1-100000444444444-1-1-1-144-1-1-1-1-1-1-1-1-1-100000000000000000000004-1-1-1-100000
χ36444444444-1-1-1-144-1-1-1-1-1-1-1-1-1-10000000000000000000000-4111100000444444444-1-1-1-144-1-1-1-1-1-1-1-1-1-10000000000000000000000-4111100000
χ3744444444-4-1-1-1-1-4-4-111-1-1-1111100000000000000000000000−5−5550000044444444-4-1-1-1-1-4-4-111-1-1-1111100000000000000000000000−5−55500000
χ3844444444-4-1-1-1-1-4-4-111-1-1-111110000000000000000000000055−5−50000044444444-4-1-1-1-1-4-4-111-1-1-111110000000000000000000000055−5−500000
χ3944-4-444-4-404-44-400400-4-4400000000000000000000000000000000000044-4-444-4-404-44-400400-4-44000000000000000000000000000000000000
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χ1138-8-88-444-40-2-22200100-11-1−151515−1500000000000000000000000000000000-888-84-4-44022-2-200-1001-1115−15−151500000000000000000000000000000000
χ1148-8-88-444-40-2-22200100-11-115−15−151500000000000000000000000000000000-888-84-4-44022-2-200-1001-11−151515−1500000000000000000000000000000000

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