Finite Group Databasebeta

← Group #14479426

Character table — Group #14479426

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222444422224444448888222244444488885555101010101010202020202222444444888844448888881616161644448888881616161610101010202020202020404040403333666666121212126666121212121212242424246666121212121212242424241515151530303030303060606060
order12222244444444510101010102020202020202020510101010102020202020202020222222444444443666661212121212121212153030303030606060606060606015303030303060606060606060606666661212121212121212222222444444441010101010102020202020202020101010101010202020202020202022222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1
χ4111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11
χ51111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1
χ61111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-111
χ71111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-11
χ81111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-1
χ922-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-200000000
χ1022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-220000000022-2-2-2200000000
χ112-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i0000
χ122-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i0000
χ132-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-20000002-2-22002-2000000
χ142-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-220000002-2-2200-22000000
χ15111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1-1-1-1-1-1-11111-11-11111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1-1-1-1-1-1-11111-11-11111111-1-1-1-11-11-1111111-1-1-1-11-11-1111111-1-1-1-11-11-1-1-1-1-1-1-11111-11-11
χ18111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11-1-1-1-1-1-111111-11-1111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11-1-1-1-1-1-111111-11-1111111-1-1-1-1-11-11111111-1-1-1-1-11-11111111-1-1-1-1-11-11-1-1-1-1-1-111111-11-1
χ191111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ201111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1
χ211111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-11-1-1-1-11111-1-1-111-11111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-11-1-1-1-11111-1-1-111-11111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-11-1-1-1-11111-1-1-111-1
χ221111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-1-1-1-1-11111-1-11-1-111111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-1-1-1-1-11111-1-11-1-111111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-1-1-1-1-11111-1-11-1-11
χ2322-2-22-20000000022-2-22-20000000022-2-22-200000000-2-222-220000000022-2-22-20000000022-2-22-20000000022-2-22-200000000-2-222-220000000022-2-22-20000000022-2-22-20000000022-2-22-200000000-2-222-2200000000
χ2422-2-2-220000000022-2-2-220000000022-2-2-2200000000-2-2222-20000000022-2-2-220000000022-2-2-220000000022-2-2-2200000000-2-2222-20000000022-2-2-220000000022-2-2-220000000022-2-2-2200000000-2-2222-200000000
χ252-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i0000-22-220000−2i2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i0000-22-220000−2i2i00002-22-200002i−2i00002-22-200002i−2i00002-22-200002i−2i0000-22-220000−2i2i0000
χ262-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i0000-22-2200002i−2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i0000-22-2200002i−2i00002-22-20000−2i2i00002-22-20000−2i2i00002-22-20000−2i2i0000-22-2200002i−2i0000
χ272-2-22002-20000002-2-22002-20000002-2-22002-2000000-222-200-220000002-2-22002-20000002-2-22002-20000002-2-22002-2000000-222-200-220000002-2-22002-20000002-2-22002-20000002-2-22002-2000000-222-200-22000000
χ282-2-2200-220000002-2-2200-220000002-2-2200-22000000-222-2002-20000002-2-2200-220000002-2-2200-220000002-2-2200-22000000-222-2002-20000002-2-2200-220000002-2-2200-220000002-2-2200-22000000-222-2002-2000000
χ2922222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000022222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000022222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000
χ302222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52000000000000002222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52000000000000002222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000
χ31222222-2-2-2-22-22-2−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+52−1−521+5200000000000000222222-2-2-2-22-22-2−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+52−1−521+5200000000000000222222-2-2-2-22-22-2−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+52−1−521+5200000000000000
χ32222222-2-2-2-2-22-22−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−521+52−1−5200000000000000222222-2-2-2-2-22-22−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−521+52−1−5200000000000000222222-2-2-2-2-22-22−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−521+52−1−5200000000000000
χ332222-2-222-2-222-2-2−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52000000000000002222-2-222-2-222-2-2−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52000000000000002222-2-222-2-222-2-2−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+5200000000000000
χ342222-2-222-2-2-2-222−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52000000000000002222-2-222-2-2-2-222−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52000000000000002222-2-222-2-2-2-222−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−5200000000000000
χ352222-2-2-2-2222-2-22−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1−52000000000000002222-2-2-2-2222-2-22−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1−52000000000000002222-2-2-2-2222-2-22−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−521−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521+52−1−5200000000000000
χ362222-2-2-2-222-222-2−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1+521−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1−521+52000000000000002222-2-2-2-222-222-2−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1+521−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1−521+52000000000000002222-2-2-2-222-222-2−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1+521−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1−521+5200000000000000
χ3744-4-44-400000000−1+5−1+51−51−5−1+51−500000000−1−5−1−51+51+5−1−51+5000000000000000000000044-4-44-400000000−1+5−1+51−51−5−1+51−500000000−1−5−1−51+51+5−1−51+5000000000000000000000044-4-44-400000000−1+5−1+51−51−5−1+51−500000000−1−5−1−51+51+5−1−51+50000000000000000000000
χ3844-4-4-4400000000−1+5−1+51−51−51−5−1+500000000−1−5−1−51+51+51+5−1−5000000000000000000000044-4-4-4400000000−1+5−1+51−51−51−5−1+500000000−1−5−1−51+51+51+5−1−5000000000000000000000044-4-4-4400000000−1+5−1+51−51−51−5−1+500000000−1−5−1−51+51+51+5−1−50000000000000000000000
χ394-44-400004i−4i0000−1+51−5−1+51−50000−2ζ11−2ζ192ζ11+2ζ190000−1−51+5−1−51+50000−2ζ3−2ζ72ζ3+2ζ70000000000000000004-44-400004i−4i0000−1+51−5−1+51−50000−2ζ11−2ζ192ζ11+2ζ190000−1−51+5−1−51+50000−2ζ3−2ζ72ζ3+2ζ70000000000000000004-44-400004i−4i0000−1+51−5−1+51−50000−2ζ11−2ζ192ζ11+2ζ190000−1−51+5−1−51+50000−2ζ3−2ζ72ζ3+2ζ7000000000000000000
χ404-44-40000−4i4i0000−1+51−5−1+51−500002ζ11+2ζ19−2ζ11−2ζ190000−1−51+5−1−51+500002ζ3+2ζ7−2ζ3−2ζ70000000000000000004-44-40000−4i4i0000−1+51−5−1+51−500002ζ11+2ζ19−2ζ11−2ζ190000−1−51+5−1−51+500002ζ3+2ζ7−2ζ3−2ζ70000000000000000004-44-40000−4i4i0000−1+51−5−1+51−500002ζ11+2ζ19−2ζ11−2ζ190000−1−51+5−1−51+500002ζ3+2ζ7−2ζ3−2ζ7000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.