Finite Group Databasebeta

← Group #14300571

Character table — Group #14300571

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444445555888888888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202424484848486060606060606060120120
order122222344666121212124566101010121244441010152020202030303030303030606060606060606022446666121212122444444446612121212121212121212121212121212121244202020208888888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111iiii−i−i−i−i-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1−i−i−i−iiiii11
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111−i−i−i−iiiii-1-1
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1iiii−i−i−i−i11
χ91111-1-11111111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-11
χ101111-1-11111111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1111-1
χ111111-1-11111111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-111-11
χ121111-1-11111111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-11-1
χ131111-1-11111111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1ii−i−i−i−iii1-1
χ141111-1-11111111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-11-1-111−i−iiiii−i−i-11
χ151111-1-11111111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−i−iiiii−i−i1-1
χ161111-1-11111111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-11-1-111ii−i−i−i−iii-11
χ172222222-2-2222-2-2-2-2-2222222-2-22222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-200000000-2-22200000000000000000000000000000000
χ182222222-2-2222-2-2-2-2-2222222-2-2-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-220000000022-2-200000000000000000000000000000000
χ19222222-122-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-122-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ21222222-122-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ22222222-122-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ23222222-1-2-2-1-1-11111-22-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-1-20000000011-1-133−3−333−3−333−3−333−3−30000000000000000
χ24222222-1-2-2-1-1-11111-22-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-1-20000000011-1-1−3−333−3−333−3−333−3−3330000000000000000
χ25222222-1-2-2-1-1-11111-22-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111200000000-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222-1-2-2-1-1-11111-22-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111200000000-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ272222-2-22-2-2222-2-2-2-222-2-2222222222-2-22-2-22222-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2222220000000022-2-200000000000000000000000000000000
χ282222-2-22-2-2222-2-2-2-222-2-222222-2-2-2-2-2-22-2-22222-2-2-2-22-2-2-2-2222222222222-2-2-2-2-200000000-2-22200000000000000000000000000000000
χ292222-2-2-122-1-1-1-1-1-1-1-2211222112222-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-2-1-1-1-1-1-1-1-1-222-2-222-2-21111-1-1-1-11111-1-1-1-111110000000000000000
χ302222-2-2-122-1-1-1-1-1-1-1-2211222112222-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-2-1-1-1-1-1-1-1-1-2-2-222-2-22211111111-1-1-1-11111-1-1-1-10000000000000000
χ312222-2-2-122-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2221111111122i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ322222-2-2-122-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-222111111112−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ332222-2-2-1-2-2-1-1-111112211222-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2-2-21111-1-1-1-1200000000-1-11133−3−3−3−33333−3−3−3−3330000000000000000
χ342222-2-2-1-2-2-1-1-111112211222-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2-2-21111-1-1-1-1200000000-1-111−3−33333−3−3−3−33333−3−30000000000000000
χ352222-2-2-1-2-2-1-1-111112211222-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-12222-1-1-1-11111-20000000011-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ362222-2-2-1-2-2-1-1-111112211222-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-12222-1-1-1-11111-20000000011-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ372-22-20022-2-2-2222-2-20200-2-220022-2-20022-200-2-20000222-2-200002-20022-2-222-2-2000000000000000000000000000000000002i−2i002i−2i0000
χ382-22-20022-2-2-2222-2-20200-2-220022-2-20022-200-2-20000222-2-200002-20022-2-222-2-200000000000000000000000000000000000−2i2i00−2i2i0000
χ392-22-20022-2-2-2222-2-20200-2-2200-2-2220022-200-2-20000222-2-20000-2200-2-222-2-222000000000000000000000000000000000002-200-220000
χ402-22-20022-2-2-2222-2-20200-2-2200-2-2220022-200-2-20000222-2-20000-2200-2-222-2-22200000000000000000000000000000000000-22002-20000
χ412-22-2002-22-2-22-2-2220200-2-220022-2-2002-2200-2-200002-2-2220000-2200-2-22222-2-200000000000000000000000000000000000002i−2i002i−2i00
χ422-22-2002-22-2-22-2-2220200-2-220022-2-2002-2200-2-200002-2-2220000-2200-2-22222-2-20000000000000000000000000000000000000−2i2i00−2i2i00
χ432-22-2002-22-2-22-2-2220200-2-2200-2-222002-2200-2-200002-2-22200002-20022-2-2-2-22200000000000000000000000000000000000002-200-2200
χ442-22-2002-22-2-22-2-2220200-2-2200-2-222002-2200-2-200002-2-22200002-20022-2-2-2-2220000000000000000000000000000000000000-22002-200
χ452-2-222-22002-2-20000022-22-2-2002i−2i2i−2i2-2200002-222-2-2-200000000002i−2i00002i−2i2i−2i01+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000000000000000
χ462-2-222-22002-2-20000022-22-2-2002i−2i2i−2i2-2200002-222-2-2-200000000002i−2i00002i−2i2i−2i0−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000000000000000
χ472-2-222-22002-2-20000022-22-2-200−2i2i−2i2i2-2200002-222-2-2-20000000000−2i2i0000−2i2i−2i2i01−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000000000000000
χ482-2-222-22002-2-20000022-22-2-200−2i2i−2i2i2-2200002-222-2-2-20000000000−2i2i0000−2i2i−2i2i0−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000000000000000
χ492-2-222-2-100-1113−33−302-112-2-23−32i−2i2i−2i2-2-10000-11-1-11113−33−333−3−3002i−2i−i3i3−i3i3−ii−ii01+i−1−i1+i−1−i1−i−1+i1−i−1+i−i3i3−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+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+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−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−ζ590000000000000000
χ502-2-222-2-100-1113−33−302-112-2-23−32i−2i2i−2i2-2-10000-11-1-11113−33−333−3−3002i−2i−i3i3−i3i3−ii−ii0−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i3i3−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−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−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+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ590000000000000000
χ512-2-222-2-100-1113−33−302-112-2-23−3−2i2i−2i2i2-2-10000-11-1-11113−33−333−3−300−2i2ii3−i3i3−i3i−ii−i01−i−1+i1−i−1+i1+i−1−i1+i−1−ii3−i3i−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−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+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+ζ430000000000000000
χ522-2-222-2-100-1113−33−302-112-2-23−3−2i2i−2i2i2-2-10000-11-1-11113−33−333−3−300−2i2ii3−i3i3−i3i−ii−i0−1+i1−i−1+i1−i−1−i1+i−1−i1+ii3−i3i−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+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−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−ζ430000000000000000
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χ9688-8-800-4004-44−434343−430-2002-22000000001002i5−2i5-11−i15i15−i15i15-13−3−33−i5i5−i5i5000000000000000000000000000000000000000000000000000000000
χ978-88-80088-8-8-8888-8-80-20022-200000000-2-2200220000-2-2-2220000000000000000000000000000000000000000000000000000000000000
χ988-88-8008-88-8-88-8-8880-20022-200000000-22-200220000-222-2-20000000000000000000000000000000000000000000000000000000000000
χ998-88-800-48-844-4-4-4440-20022-2000000001-2200-1-1−i15i15i15−i15111-1-1i15−i15−i15i15000000000000000000000000000000000000000000000000000000000
χ1008-88-800-48-844-4-4-4440-20022-2000000001-2200-1-1i15−i15−i15i15111-1-1−i15i15i15−i15000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-8844-444-4-40-20022-20000000012-200-1-1−i15i15i15−i151-1-111−i15i15i15−i15000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-8844-444-4-40-20022-20000000012-200-1-1i15−i15−i15i151-1-111i15−i15−i15i15000000000000000000000000000000000000000000000000000000000
χ1038-8-888-88008-8-800000-28-8-222000000-22-20000-22-2-222200000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-8-400-44443−4343−430-2-44-22243−430000-22100001-111-1-1-1−33−33−3−333000000000000000000000000000000000000000000000000000000000
χ1058-8-888-8-400-444−4343−43430-2-44-222−43430000-22100001-111-1-1-13−33−333−3−3000000000000000000000000000000000000000000000000000000000
χ1068-8-88-888008-8-800000-2-88-2220000002-2-20000-2222-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-400-44443−4343−430-24-4-222−434300002-2100001-1-1-111-1−33−3333−3−3000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-400-444−4343−43430-24-4-22243−4300002-2100001-1-1-111-13−33−3−3−333000000000000000000000000000000000000000000000000000000000

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