Finite Group Databasebeta

← Group #14280271

Character table — Group #14280271

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222244444444444444444444444444444444444444444455555555888888888888888888888888888888888888101010101010101020202020202020202020202020202020202060606060606060606060606060606060
order12222222366666664444445101010101010101212121212121212121212121515303030303030303030303030303022222222202020202020202020202020606060606060606060606060606060606060606060606060666666664444441212121212121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-21111111111110000000000000000
χ1922222222-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ2122222222-1-1-1-1-1-1-1-1-2-222-2-2222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-2222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111111111111122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-2222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-2222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1111111112222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ252222-2-2-2-22222-2-2-2-20000002222-2-2-2-200000000000022222222-2-2-2-2-2-2-2-2222-22-2-2-20000000000000000000000000000000000002222-2-2-2-20000000000000000000000002-20000002-2
χ262222-2-2-2-22222-2-2-2-20000002222-2-2-2-200000000000022222222-2-2-2-2-2-2-2-2222-22-2-2-20000000000000000000000000000000000002222-2-2-2-2000000000000000000000000-22000000-22
χ272222-2-2-2-22222-2-2-2-20000002222-2-2-2-200000000000022222222-2-2-2-2-2-2-2-2-2-2-22-2222000000000000000000000000000000000000-2-2-2-222220000000000000000000000002i−2i000000−2i2i
χ282222-2-2-2-22222-2-2-2-20000002222-2-2-2-200000000000022222222-2-2-2-2-2-2-2-2-2-2-22-2222000000000000000000000000000000000000-2-2-2-22222000000000000000000000000−2i2i0000002i−2i
χ2922-2-222-2-222-2-222-2-200000022-2-222-2-20000000000002222-2-2-2-22222-2-2-2-222-22-22-2-200000000000000000000000000000000000022-2-222-2-200000000000000000000002-20000002-200
χ3022-2-222-2-222-2-222-2-200000022-2-222-2-20000000000002222-2-2-2-22222-2-2-2-222-22-22-2-200000000000000000000000000000000000022-2-222-2-20000000000000000000000-22000000-2200
χ3122-2-222-2-222-2-222-2-200000022-2-222-2-20000000000002222-2-2-2-22222-2-2-2-2-2-22-22-222000000000000000000000000000000000000-2-222-2-22200000000000000000000002i−2i000000−2i2i00
χ3222-2-222-2-222-2-222-2-200000022-2-222-2-20000000000002222-2-2-2-22222-2-2-2-2-2-22-22-222000000000000000000000000000000000000-2-222-2-2220000000000000000000000−2i2i0000002i−2i00
χ3322-2-2-2-22222-2-2-2-2222-2000022-2-2-2-22222-2-2000000002222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2000000002222-2-2-2-2000000000000000022-2-2-2-2222-2000022-2-2000000000000000000000000
χ3422-2-2-2-22222-2-2-2-2222-2000022-2-2-2-22222-2-2000000002222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-2000000002222-2-2-2-20000000000000000-2-22222-2-2-220000-2-222000000000000000000000000
χ3522-2-2-2-22222-2-2-2-222-22000022-2-2-2-222-2-222000000002222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22200000000-2-2-2-22222000000000000000022-2-2-2-222-220000-2-222000000000000000000000000
χ3622-2-2-2-22222-2-2-2-222-22000022-2-2-2-222-2-222000000002222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22200000000-2-2-2-222220000000000000000-2-22222-2-22-2000022-2-2000000000000000000000000
χ3722-2-2-2-222-1-11111-1-12-2000022-2-2-2-222-1-111−i3−i3i3i3−i3−i3i3i3-1-1-1-111111111-1-1-1-122-2-2-2-22222-2-200000000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
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χ3922-2-2-2-222-1-11111-1-12-2000022-2-2-2-222-1-111i3i3−i3−i3i3i3−i3−i3-1-1-1-111111111-1-1-1-122-2-2-2-22222-2-200000000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-11111-1-12-20000-1-111i3i3−i3−i3i3i3−i3−i30000000000000000
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χ4222-2-2-2-222-1-11111-1-1-22000022-2-2-2-22211-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-111111111-1-1-1-1-2-22222-2-2-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i311-1-1-1-1112-20000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
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χ4422-2-2-2-222-1-11111-1-1-22000022-2-2-2-22211-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-111111111-1-1-1-1-2-22222-2-2-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i311-1-1-1-1112-20000-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ452-22-22-22-22-22-22-22-200002i−2i2-22-22-22-2000000002i−2i2i−2i22-2-222-2-222-2-222-2-22-22-2-222-2000000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i2-22-22-22-200002i−2i000000002i−2i2i−2i0000000000000000
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χ542-22-22-22-2-11-11-11-110000−2i2i2-22-22-22-2−i3i3−i3i3−33−33i−ii−i-1-111-1-111-1-111-1-111-22-222-2-2200000000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i3−3−333−3−333ii−i−iii−i−i1-11-11-11-100002i−2ii3−i3i3−i33−33−3−ii−ii0000000000000000
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χ1314-4-44-444-4-222-22-2-2200−4i4i00-111-11-1-112i3−2i3−2i32i32i−2i−2i2i23−23−23231−i1521+i152−1+i152−1−i152−1+i152−1−i1521−i1521+i152−1+i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1−i15200000000−555−5ii−i−ii5−i5−i5i5−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000000000000000000000000000000000000000
χ1324-4-44-444-4-222-22-2-2200−4i4i00-111-11-1-112i3−2i3−2i32i32i−2i−2i2i23−23−23231+i1521−i152−1−i152−1+i152−1−i152−1+i1521+i1521−i152−1−i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1+i152000000005−5−55ii−i−i−i5i5i5−i5−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000000000000000000000000000000000000000
χ1338888-8-8-8-88888-8-8-8-8000000-2-2-2-22222000000000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348888-8-8-8-8-4-4-4-44444000000-2-2-2-222220000000000001−i151+i151−i151+i151−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358888-8-8-8-8-4-4-4-44444000000-2-2-2-222220000000000001+i151−i151+i151−i151+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-888-8-888-8-888-8-8000000-2-222-2-222000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-888-8-8-4-444-4-444000000-2-222-2-2220000000000001−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-888-8-8-4-444-4-444000000-2-222-2-2220000000000001+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8-88-888-88-8-88-88000000-22-222-22-2000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-88-88-44-444-44-4000000-22-222-22-20000000000001−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i15−1+i15−1−i151−i151+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-88-88-44-444-44-4000000-22-222-22-20000000000001+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i15−1−i15−1+i151+i151−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-888-8-888-8-888-8-88000000-222-2-222-2000000000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-444-4-444-4000000-222-2-222-20000000000001−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-888-8-88-444-4-444-4000000-222-2-222-20000000000001+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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