Finite Group Databasebeta

← Group #14283962

Character table — Group #14283962

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444888888888888888888881010101010101010101010101010101020202020202020202020202020202020202020202020202020202020242424242424242424246060606060606060120120
order122244443666121212124451010101212121220202020152020202030303060606060606060606060606022444444121212121212121266888888881212242424242424242424242424242424244420202020202020208888888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i1111111111iiii−i−i−i−i-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii1111111111−i−i−i−iiiii-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11
χ91111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111ii−i−iii−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1ii−i−iii−i−i1-1
χ101111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111ii−i−iii−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-1-1-11111−i−iii−i−iii-11
χ111111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−i−iii−i−iii-1-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−iii−i−iii1-1
χ121111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−i−iii−i−iii-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1-11111ii−i−iii−i−i-11
χ131111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-1-1-111-11
χ141111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-11111-1-11-1
χ151111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-11
χ161111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1111-1
χ172222222222222222-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2220000000022000000000000000000000000000000000000
χ182222222222222222-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-22222-2-222222222-2-200000000-2-2000000000000000000000000000000000000
χ1922222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2022222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111111111111100000000000000000000
χ2122222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ2222222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-22211111111-1-100000000-1-133−3−333−3−333−3−333−3−300000000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-22211111111-1-100000000-1-1−3−333−3−333−3−333−3−33300000000000000000000
χ2522222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-22222-2-2-1-1-1-1-1-1-1-1110000000011−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2622222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-22222-2-2-1-1-1-1-1-1-1-1110000000011i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ272222-2-2-2-22222-2-2-2-2-222222-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-222222200000000-2-2000000000000000000000000000000000000
χ282222-2-2-2-22222-2-2-2-2-222222-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-22222-2-222-2-2222222-2-2-2-2-2-20000000022000000000000000000000000000000000000
χ292222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-12i2i−2i−2i2i2i−2i−2i11−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ302222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-1−2i−2i2i2i−2i−2i2i2i11iiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ312222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11122-2-2-2-222-1-1-1-1-1-111111111-1-1-1-100000000000000000000
χ322222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-111-2-22222-2-2-1-11111-1-1-1-1-1-1-1-1111100000000000000000000
χ332222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-2-222-2-21111-1-1-1-1-1-10000000011−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ342222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-2-222-2-21111-1-1-1-1-1-10000000011i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ352222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-2-222-1-1-1-111111100000000-1-133−3−3−3−333−3−33333−3−300000000000000000000
χ362222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-2-222-1-1-1-111111100000000-1-1−3−33333−3−333−3−3−3−33300000000000000000000
χ3722-2-22i2i−2i−2i22-2-22i2i−2i−2i002-22-200002i2i−2i−2i200002-2-200002i2i−2i−2i00002-200002i−2i000000002-21+i−1−i1−i−1+i1+i−1−i1−i−1+i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000
χ3822-2-22i2i−2i−2i22-2-22i2i−2i−2i002-22-200002i2i−2i−2i200002-2-200002i2i−2i−2i00002-200002i−2i000000002-2−1−i1+i−1+i1−i−1−i1+i−1+i1−i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000
χ3922-2-22i2i−2i−2i22-2-22i2i−2i−2i002-22-200002i2i−2i−2i200002-2-200002i2i−2i−2i0000-220000−2i2i00000000-221−i−1+i−1−i1+i−1+i1−i1+i−1−i−2i2i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00000000000000000000
χ4022-2-22i2i−2i−2i22-2-22i2i−2i−2i002-22-200002i2i−2i−2i200002-2-200002i2i−2i−2i0000-220000−2i2i00000000-22−1+i1−i1+i−1−i1−i−1+i−1−i1+i−2i2i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00000000000000000000
χ4122-2-22i2i−2i−2i-1-111−i−iii002-22-23−3−i3i32i2i−2i−2i-10000-11133−3−3−i−iii−i3−i3i3i32-200002i−2i33−3−3−i3−i3i3i3-111+i−1−i1−i−1+i1+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+ζ43ζ2+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−ζ59−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+ζ43ζ2+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−ζ5900000000000000000000
χ4222-2-22i2i−2i−2i-1-111−i−iii002-22-23−3−i3i32i2i−2i−2i-10000-11133−3−3−i−iii−i3−i3i3i32-200002i−2i33−3−3−i3−i3i3i3-11−1−i1+i−1+i1−i−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−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+ζ59ζ11−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−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+ζ5900000000000000000000
χ4322-2-22i2i−2i−2i-1-111−i−iii002-22-23−3−i3i32i2i−2i−2i-10000-11133−3−3−i−iii−i3−i3i3i3-220000−2i2i−3−333i3i3−i3−i31-11−i−1+i−1−i1+i−1+i1−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−ζ59ζ11−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−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−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+ζ4300000000000000000000
χ4422-2-22i2i−2i−2i-1-111−i−iii002-22-23−3−i3i32i2i−2i−2i-10000-11133−3−3−i−iii−i3−i3i3i3-220000−2i2i−3−333i3i3−i3−i31-1−1+i1−i1+i−1−i1−i−1+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−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+ζ43ζ2+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−ζ59ζ11−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−ζ4300000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.