Finite Group Databasebeta

← Group #14313652

Character table — Group #14313652

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222224444444444444444444445588888888888888888888888888810101010101616161616161616161620202020202020202020202424242440404040404848484848484848120120120120
order1223556661010444441010121212121212151530303030303044412121212202020202020202020206060606060606060606060604121212122020606060606060606022244661212121288882666640404040404040408888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1111111111111111111-1-1-1-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111ii−i−i-1-1-1-1-1iiii−i−i−i−iii−i−i
χ611111111111111-1-1111111111111111111-1-1-1-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111−i−iii-1-1-1-1-1−i−i−i−iiiii−i−iii
χ711111111111111-1-11111111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1ii−i−i11111iiii−i−i−i−i−i−iii
χ811111111111111-1-11111111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1−i−iii11111−i−i−i−iiiiiii−i−i
χ9111111111111-1-11111-1-1-1-1111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1111-1-111-1-1-1-11-11-1-111-1-111-1-111-1-11-11-1
χ10111111111111-1-11111-1-1-1-1111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1111-1-111-1-1-1-1-11-11-111-1-1-1-111-1-111-11-11
χ11111111111111-1-11111-1-1-1-11111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111-11-11-1-11111-1-111-1-1-11-11
χ12111111111111-1-11111-1-1-1-11111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-11-111-1-111-1-111-1-1111-11-1
χ13111111111111-1-1-1-111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-1-1-111-1-1-1-1i−i−ii1-1-111ii−i−i−i−iiii−i−ii
χ14111111111111-1-1-1-111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-1-1-111-1-1-1-1−iii−i1-1-111−i−iiiii−i−i−iii−i
χ15111111111111-1-1-1-111-1-1-1-11111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-11111-1-11111i−i−ii-111-1-1ii−i−i−i−iii−iii−i
χ16111111111111-1-1-1-111-1-1-1-11111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-11111-1-11111−iii−i-111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222-2002-2220000-2-2222222222202-200-2-2000022-2-200000000-2-2-2-2222220022-2-20000-22-200-2-20000000002-200000000000000
χ1822222222222-2002-2220000-2-222222222-2-202-200-2-2000022-2-200000000-2-2-2-2-2-2-2-2-20022-2-200002-220022000000000-2200000000000000
χ1922222222222-200-22220000-2-222222222220-2200-2-20000-2-22200000000-2-2-2-22222200-2-2220000-2-2200-2-2000000000-2200000000000000
χ2022222222222-200-22220000-2-222222222-2-20-2200-2-20000-2-22200000000-2-2-2-2-2-2-2-2-200-2-222000022-200220000000002-200000000000000
χ212222−1−52−1+52222−1−52−1+5222222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520022222−1−52−1+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+52−1−52−1−52−1+52−1+5200000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000222200000−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520022222−1−52−1+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+52−1−52−1−52−1+52−1+5200000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000-2-2-2-2000001+521−521+521−521+521−521+521−520000
χ232222−1−52−1+52222−1−52−1+52222-2-2−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+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+52000001+521−521+521−521+521−521+521+521−521−52000000000002i2i−2i−2i00000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000
χ242222−1−52−1+52222−1−52−1+52222-2-2−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+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+52000001+521−521+521−521+521−521+521+521−521−5200000000000−2i−2i2i2i00000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000
χ252222−1−52−1+52222−1−52−1+522-2-222−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52000001+521−52−1−52−1+52−1−52−1+521+521+521−521−52000000000002-22-200000−1−52−1+521+521−52−1−52−1+521+521−520000
χ262222−1−52−1+52222−1−52−1+522-2-222−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52000001+521−52−1−52−1+52−1−52−1+521+521+521−521−5200000000000-22-22000001+521−52−1−52−1+521+521−52−1−52−1+520000
χ272222−1−52−1+52222−1−52−1+522-2-2-2-2−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52002-2-222−1−52−1+521+521+521−521−521+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200000−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52000000000002i−2i−2i2i00000−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+522-2-2-2-2−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52002-2-222−1−52−1+521+521+521−521−521+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200000−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200000000000−2i2i2i−2i00000ζ11+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+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520022222−1+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+52−1−52−1−5200000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000222200000−1+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+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520022222−1+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+52−1−52−1−5200000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000-2-2-2-2000001−521+521−521+521−521+521−521+520000
χ312222−1+52−1−52222−1+52−1−52222-2-2−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+521−521+521−521+521−521−521+521+52000000000002i2i−2i−2i00000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000
χ322222−1+52−1−52222−1+52−1−52222-2-2−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+521−521+521−521+521−521−521+521+5200000000000−2i−2i2i2i00000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000
χ332222−1+52−1−52222−1+52−1−522-2-222−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52000001−521+52−1+52−1−52−1+52−1−521−521−521+521+52000000000002-22-200000−1+52−1−521−521+52−1+52−1−521−521+520000
χ342222−1+52−1−52222−1+52−1−522-2-222−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52000001−521+52−1+52−1−52−1+52−1−521−521−521+521+5200000000000-22-22000001−521+52−1+52−1−521−521+52−1+52−1−520000
χ352222−1+52−1−52222−1+52−1−522-2-2-2-2−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52002-2-222−1+52−1−521−521−521+521+521−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200000−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52000000000002i−2i−2i2i00000−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+52−1−522-2-2-2-2−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52002-2-222−1+52−1−521−521−521+521+521−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200000−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200000000000−2i2i2i−2i00000ζ7+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
χ37222-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122222-1-1-1-1-1-100002-1-1-1-1000000000000
χ38222-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-2-2-2-21111110000-21111000000000000
χ39222-122-1-1-122222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-21111222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2111111112-2-222-1-1-1-1-1-10000-21111000000000000
χ40222-122-1-1-122222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-21111-2-211111111-222-2-211111100002-1-1-1-1000000000000
χ41222-122-1-1-1222-2-222221111-1-1-1-1-1-1-1-1-1-122-2-1-11122-2-2-2-2222211111111-1-1-1-12-1-1-1-1-2-2-1-1-1-11111222-2-2-1-111110000-2-1-111000000000000
χ42222-122-1-1-1222-2-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-1-11122-2-2-2-2222211111111-1-1-1-1-21111-2-2-1-1-1-11111-2-2-22211-1-1-1-10000211-1-1000000000000
χ43222-122-1-1-1222-2-2-2-2221111-1-1-1-1-1-1-1-1-1-122211-1-122-2-2-2-2-2-2-2-211111111-1-1-1-12-1-1-1-1221111-1-1-1-12-2-2-2-2-1-111110000211-1-1000000000000
χ44222-122-1-1-1222-2-2-2-2221111-1-1-1-1-1-1-1-1-1-1-2-2211-1-122-2-2-2-2-2-2-2-211111111-1-1-1-1-21111221111-1-1-1-1-2222211-1-1-1-10000-2-1-111000000000000
χ45222-122-1-1-122-2002-222−i3−i3i3i311-1-1-1-1-1-1-1-1220-11−i3i3-2-2000022-2-2−i3−i3i3i3−i3−i3i3i311112-1-1-1-100-1-111−i3i3−i3i3-22-20011−i3−i3i3i300000-11−i3i3000000000000
χ46222-122-1-1-122-2002-222−i3−i3i3i311-1-1-1-1-1-1-1-1-2-20-11−i3i3-2-2000022-2-2−i3−i3i3i3−i3−i3i3i31111-2111100-1-111−i3i3−i3i32-2200-1-1i3i3−i3−i3000001-1i3−i3000000000000
χ47222-122-1-1-122-2002-222i3i3−i3−i311-1-1-1-1-1-1-1-1220-11i3−i3-2-2000022-2-2i3i3−i3−i3i3i3−i3−i311112-1-1-1-100-1-111i3−i3i3−i3-22-20011i3i3−i3−i300000-11i3−i3000000000000
χ48222-122-1-1-122-2002-222i3i3−i3−i311-1-1-1-1-1-1-1-1-2-20-11i3−i3-2-2000022-2-2i3i3−i3−i3i3i3−i3−i31111-2111100-1-111i3−i3i3−i32-2200-1-1−i3−i3i3i3000001-1−i3i3000000000000
χ49222-122-1-1-122-200-2222−i3−i3i3i311-1-1-1-1-1-1-1-12201-1i3−i3-2-20000-2-222−i3−i3i3i3−i3−i3i3i311112-1-1-1-10011-1-1i3−i3i3−i3-2-220011−i3−i3i3i3000001-1i3−i3000000000000
χ50222-122-1-1-122-200-2222−i3−i3i3i311-1-1-1-1-1-1-1-1-2-201-1i3−i3-2-20000-2-222−i3−i3i3i3−i3−i3i3i31111-211110011-1-1i3−i3i3−i322-200-1-1i3i3−i3−i300000-11−i3i3000000000000
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χ1058-80-4−2+25−2−25−4i34i342−252+2504-40000−2−2i32+2i3−2+2i32−2i3001−51+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−5000000000−1+51−5−1−51+50000−2ζ22−2ζ582ζ22+2ζ58−2ζ2−2ζ382ζ2+2ζ38−2ζ34−2ζ462ζ34+2ζ46−2ζ14−2ζ262ζ14+2ζ26000000000000000000000000000000000000000000000000000
χ1068-80-4−2+25−2−25−4i34i342−252+250-4400002+2i3−2−2i32−2i3−2+2i3001−51+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−50000000001−5−1+51+5−1−500002ζ22+2ζ58−2ζ22−2ζ582ζ2+2ζ38−2ζ2−2ζ382ζ34+2ζ46−2ζ34−2ζ462ζ14+2ζ26−2ζ14−2ζ26000000000000000000000000000000000000000000000000000
χ1078-80-4−2+25−2−254i3−4i342−252+2504-40000−2+2i32−2i3−2−2i32+2i3001−51+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−5000000000−1+51−5−1−51+50000−2ζ2−2ζ382ζ2+2ζ38−2ζ22−2ζ582ζ22+2ζ58−2ζ14−2ζ262ζ14+2ζ26−2ζ34−2ζ462ζ34+2ζ46000000000000000000000000000000000000000000000000000
χ1088-80-4−2+25−2−254i3−4i342−252+250-4400002−2i3−2+2i32+2i3−2−2i3001−51+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−50000000001−5−1+51+5−1−500002ζ2+2ζ38−2ζ2−2ζ382ζ22+2ζ58−2ζ22−2ζ582ζ14+2ζ26−2ζ14−2ζ262ζ34+2ζ46−2ζ34−2ζ46000000000000000000000000000000000000000000000000000

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