Finite Group Databasebeta

← Group #14431346

Character table — Group #14431346

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222222222222222244444444444444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212121220202020202020202020202020202020202020202020202024242424242424242424120120120120
order1222223444455666101010101010101010101010101044446612121212121212121212121215152020202020202020303030303030303030303030303020202020202020206060606060606060606060606060606060606060606060608888404040404040404040404040404040402244444466661212121212121212121212124420202020202020204488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111
χ8111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1
χ91111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11-11-1111111-1-1-1-1-1-111-1-11-11111-1-1-1-11-11-1
χ101111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1111111-1-1111-11111-1-1-1-1-11-11
χ111111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-11-1111111-1-1-1-1-1-111-1-1-11-1-1-1-11111-11-11
χ121111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-11-11-1-1-1-1-1-1111111-1-111-11-1-1-1-111111-11-1
χ131111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-11-111111-1-111-1-1-1-1-1-111-11-1-1-1-111111-1-11
χ141111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-111-1-1111111-1-1-11-1-1-1-11111-111-1
χ151111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-111111-1-111-1-1-1-1-1-1111-11111-1-1-1-1-111-1
χ161111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-1-1-111-1-1111111-1-11-11111-1-1-1-11-1-11
χ1722222222222−1−52−1+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+52222222222222222222−1−52−1+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+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+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ1822222222222−1−52−1+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+52222222222222222222−1−52−1+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+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+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000-2-21+521+521−521−521+521+521−521−520000
χ1922222222222−1−52−1+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+52-2-2-2-2222222-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000-2-21+521+521−521−521+521+521−521−520000
χ2022222222222−1−52−1+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+52-2-2-2-2222222-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ2122222222222−1+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+52−1−52222222222222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ2222222222222−1+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+52−1−52222222222222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000000000000000-2-21−521−521+521+521−521−521+521+520000
χ2322222222222−1+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+52−1−52-2-2-2-2222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000-2-21−521−521+521+521−521−521+521+520000
χ2422222222222−1+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+52−1−52-2-2-2-2222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ252222222-2-2-2-22222222222222222222000022-2-2-2-20000000022-2-2-2-2-2-2-2-22222222222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-2-220000-2-222000022-2-200000000000000
χ262222222-2-2-2-22222222222222222222000022-2-2-2-20000000022-2-2-2-2-2-2-2-22222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-222-2000022-2-20000-2-22200000000000000
χ27222222-1222222-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ28222222-1222222-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2-2-2-2-2111111111111111100000000000000
χ29222222-1222222-1-1-122222222222222-2-2-2-2-1-1-1-1-1-111111111-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000002222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000
χ30222222-1222222-1-1-122222222222222-2-2-2-2-1-1-1-1-1-111111111-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-2-2-222221111-1-1-1-11111-1-1-1-100000000000000
χ31222222-1-2-2-2-222-1-1-1222222222222220000-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000000000002-2-22−i3−i3i3i311-1-1−i3−i3i3i3-1-11100000000000000
χ32222222-1-2-2-2-222-1-1-1222222222222220000-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000-222-2i3i3−i3−i3-1-111i3i3−i3−i311-1-100000000000000
χ33222222-1-2-2-2-222-1-1-1222222222222220000-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000000000002-2-22i3i3−i3−i311-1-1i3i3−i3−i3-1-11100000000000000
χ34222222-1-2-2-2-222-1-1-1222222222222220000-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000-222-2−i3−i3i3i3-1-111−i3−i3i3i311-1-100000000000000
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χ362222-2-222-2-22−1−52−1+522221+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222-2-22222-2-2-2-2−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000-221+521+521−521−52−1−52−1−52−1+52−1+520000
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χ12044-4-44-4-2-4-444−1−5−1+52-22−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+51+51−51+51−5−4i4i−4i4i-222-22-22i−2i2i−2i2i−2i2i−2i1+521−521+51−51+5−1−51−5−1+5−1−5−1+5−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−52−1−52−1+522ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−1−521+52−1+521−52−1−521+52−1+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ940000000000000000000000000000000000000000000000000000000000
χ12144-4-44-4-2-4-444−1+5−1−52-22−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−51−51+51−51+54i−4i4i−4i-222-22-2−2i2i−2i2i−2i2i−2i2i1−521+521−51+51−5−1+51+5−1−5−1+5−1−5−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521+52−1+52−1−52−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+521−52−1−521+52−1+521−52−1−521+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1180000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.