Finite Group Databasebeta

← Group #14313275

Character table — Group #14313275

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11222222222444444444444444888888888888888888888888888888101016161616161616161616202020202020202424242440404040404040404848484848484848120120120120
order12235566610102246610101515303030303030246661010101010101010121212202030303030303030303030303044202030306060606060602441212121244882466612121220202020404040404488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-11-1-111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1
χ611111111111111111111111111-1-11-1-111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-111-1-11-1-1-1-11-1-1-1-11111-1-111
χ711111111111111111111111111-1-11-1-111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-11111-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1111111-1-1
χ9111111111111-1-11111111111111-1-111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-11111i−ii−i1-1-111-1-1-1ii−i−iii−i−ii−ii−i
χ10111111111111-1-11111111111111-1-111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-11111−ii−ii1-1-111-1-1-1−i−iii−i−iii−ii−ii
χ11111111111111-1-11111111111111-1-111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1i−ii−i-111-1-1111ii−i−iii−i−i−ii−ii
χ12111111111111-1-11111111111111-1-111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1−ii−ii-111-1-1111−i−iii−i−iiii−ii−i
χ13111111111111-1-1111111111111-11-1-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11111i−i−ii-11-1-1-111-1ii−i−i−i−iiii−i−ii
χ14111111111111-1-1111111111111-11-1-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11111−iii−i-11-1-1-111-1−i−iiiii−i−i−iii−i
χ15111111111111-1-1111111111111-11-1-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-1-1i−i−ii1-1111-1-11ii−i−i−i−iii−iii−i
χ16111111111111-1-1111111111111-11-1-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-1-1−iii−i1-1111-1-11−i−iiiii−i−ii−i−ii
χ1722222222222-22-2-2-2222222222200200-2-200002200-2-2-2-2-2-2-200000000220022-2-20000-2-2222-2-2000000-200002000000000000
χ1822222222222-22-2-2-2222222222200200-2-200002200-2-2-2-2-2-2-200000000-2-20022-2-2000022-2-2-22200000020000-2000000000000
χ1922222222222-2-22-2-2222222222200-200-2-20000-2-200222-2-2-2-2000000002200-2-22200002-2-222-2-200000020000-2000000000000
χ2022222222222-2-22-2-2222222222200-200-2-20000-2-200222-2-2-2-200000000-2-200-2-2220000-222-2-222000000-200002000000000000
χ212222−1−52−1+52222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+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+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000222200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ222222−1−52−1+52222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+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+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000-2-2-2-2000000001+521−521+521−521+521−521+521−520000
χ232222−1−52−1+52222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52001+521−52−1−52−1+52−1−52−1+521+521+521−521−52000000022-2-200000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ242222−1−52−1+52222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52001+521−52−1−52−1+52−1−52−1+521+521+521−521−520000000-2-222000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ252222−1−52−1+52222−1−52−1+522-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52-2-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52001+521−521+521−521+521−521+521+521−521−5200000002i−2i2i−2i00000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000
χ262222−1−52−1+52222−1−52−1+522-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521−52-2-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52001+521−521+521−521+521−521+521+521−521−520000000−2i2i−2i2i00000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000
χ272222−1−52−1+52222−1−52−1+522-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2−1−52−1+521+521+521−521−521+521−5222-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200000002i−2i−2i2i00000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000
χ282222−1−52−1+52222−1−52−1+522-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2−1−52−1+521+521+521−521−521+521−5222-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+520000000−2i2i2i−2i00000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000
χ292222−1+52−1−52222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ302222−1+52−1−52222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000-2-2-2-2000000001−521+521−521+521−521+521−521+520000
χ312222−1+52−1−52222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52001−521+52−1+52−1−52−1+52−1−521−521−521+521+52000000022-2-200000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ322222−1+52−1−52222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-2-2−1+52−1−521−521−521+521+52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52001−521+52−1+52−1−52−1+52−1−521−521−521+521+520000000-2-222000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ332222−1+52−1−52222−1+52−1−522-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52-2-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52001−521+521−521+521−521+521−521−521+521+5200000002i−2i2i−2i00000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000
χ342222−1+52−1−52222−1+52−1−522-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521+52-2-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52001−521+521−521+521−521+521−521−521+521+520000000−2i2i−2i2i00000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000
χ352222−1+52−1−52222−1+52−1−522-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-2−1+52−1−521−521−521+521+521−521+5222-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200000002i−2i−2i2i00000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000
χ362222−1+52−1−52222−1+52−1−522-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-2−1+52−1−521−521−521+521+521−521+5222-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−520000000−2i2i2i−2i00000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000
χ37222-122-1-1-122222-1-122-1-1-1-1-1-1-1-122-1-1-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1000022-1-1-1-1-1-1000000000000
χ38222-122-1-1-122222-1-122-1-1-1-1-1-1-1-122-1-1-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1-2-2-211110000-2-2111111000000000000
χ39222-122-1-1-122222-1-122-1-1-1-1-1-1-1-1-2-2-11122-2-2-2-22211-122-1-1-1-11111111122-2-2-1-1-1-11111222-1-1-1-10000-2-2-11111-1000000000000
χ40222-122-1-1-122222-1-122-1-1-1-1-1-1-1-1-2-2-11122-2-2-2-22211-122-1-1-1-111111111-2-2-2-2-1-1-1-11111-2-2-211110000221-1-1-1-11000000000000
χ41222-122-1-1-1222-2-2-1-122-1-1-1-1-1-1-1-12-21-1-1222222-2-2111-2-2-1-1-1-1-1-1-1-1-1-1-1-122-2-211111111-22-2-1-1-1-100002-21-1-1111000000000000
χ42222-122-1-1-1222-2-2-1-122-1-1-1-1-1-1-1-12-21-1-1222222-2-2111-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112-2211110000-22-111-1-1-1000000000000
χ43222-122-1-1-1222-2-2-1-122-1-1-1-1-1-1-1-1-2211122-2-2-2-2-2-2-1-11-2-2-1-1-1-11111111122221111-1-1-1-1-22-2-1-1-1-10000-22111-1-11000000000000
χ44222-122-1-1-1222-2-2-1-122-1-1-1-1-1-1-1-1-2211122-2-2-2-2-2-2-1-11-2-2-1-1-1-111111111-2-2221111-1-1-1-12-22111100002-2-1-1-111-1000000000000
χ45222-122-1-1-122-22-21122-1-1-1-1-1-1-1-100-1−i3i3-2-2000022−i3i31-2-21111−i3−i3i3i3−i3−i3i3i32200-1-111−i3i3−i3i3-2-22-1-1110000001−i3i3−i3i3-1000000000000
χ46222-122-1-1-122-22-21122-1-1-1-1-1-1-1-100-1−i3i3-2-2000022−i3i31-2-21111−i3−i3i3i3−i3−i3i3i3-2-200-1-111−i3i3−i3i322-211-1-1000000-1i3−i3i3−i31000000000000
χ47222-122-1-1-122-22-21122-1-1-1-1-1-1-1-100-1i3−i3-2-2000022i3−i31-2-21111i3i3−i3−i3i3i3−i3−i32200-1-111i3−i3i3−i3-2-22-1-1110000001i3−i3i3−i3-1000000000000
χ48222-122-1-1-122-22-21122-1-1-1-1-1-1-1-100-1i3−i3-2-2000022i3−i31-2-21111i3i3−i3−i3i3i3−i3−i3-2-200-1-111i3−i3i3−i322-211-1-1000000-1−i3i3−i3i31000000000000
χ49222-122-1-1-122-2-221122-1-1-1-1-1-1-1-1001−i3i3-2-20000-2-2i3−i3-1221111−i3−i3i3i3−i3−i3i3i3220011-1-1i3−i3i3−i32-2-2-1-111000000-1−i3i3i3−i31000000000000
χ50222-122-1-1-122-2-221122-1-1-1-1-1-1-1-1001−i3i3-2-20000-2-2i3−i3-1221111−i3−i3i3i3−i3−i3i3i3-2-20011-1-1i3−i3i3−i3-22211-1-10000001i3−i3−i3i3-1000000000000
χ51222-122-1-1-122-2-221122-1-1-1-1-1-1-1-1001i3−i3-2-20000-2-2−i3i3-1221111i3i3−i3−i3i3i3−i3−i3220011-1-1−i3i3−i3i32-2-2-1-111000000-1i3−i3−i3i31000000000000
χ52222-122-1-1-122-2-221122-1-1-1-1-1-1-1-1001i3−i3-2-20000-2-2−i3i3-1221111i3i3−i3−i3i3i3−i3−i3-2-20011-1-1−i3i3−i3i3-22211-1-10000001−i3i3i3−i3-1000000000000
χ534444−1−5−1+5444−1−5−1+5-44-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5004001+51−50000−1−5−1+500-41+51−51+51+51−51−5000000000000−1−5−1+51+51−500000000000000000000000000000000000
χ544444−1−5−1+5444−1−5−1+5-4-44-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+500-4001+51−500001+51−5004−1−5−1+51+51+51−51−50000000000001+51−5−1−5−1+500000000000000000000000000000000000
χ554444−1+5−1−5444−1+5−1−5-44-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5004001−51+50000−1+5−1−500-41−51+51−51−51+51+5000000000000−1+5−1−51−51+500000000000000000000000000000000000
χ564444−1+5−1−5444−1+5−1−5-4-44-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−500-4001−51+500001−51+5004−1+5−1−51−51−51+51+50000000000001−51+5−1+5−1−500000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.