Finite Group Databasebeta

← Group #14331518

Character table — Group #14331518

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111111144444444444444222222228888888888888822222222888888888888882222222288888888888888222222228888888888888822222222888888888888882222222288888888888888222222228888888888888815151515151515156060606060606060606060606060
order12222222222244444444443666666666661212121212121212121251010101010101010101010202020202020202020205101010101010101010101020202020202020202020153030303030303030303030606060606060606060601530303030303030303030306060606060606060606015303030303030303030303060606060606060606060153030303030303030303030606060606060606060602222222222224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1
χ31111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1
χ41111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-111
χ511111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-1
χ611111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ711111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111
χ811111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1
χ9222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i
χ10222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i
χ1122-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i0000
χ1222-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i0000
χ1322-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-2000000000000
χ1422-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-22000000000000
χ152-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i000000
χ162-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i000000
χ172-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-20000000000
χ182-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-220000000000
χ192-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-200
χ202-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-2200
χ212-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-200000000
χ222-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-2200000000
χ2311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ251111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ261111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ2711111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ2811111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ2911111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ3011111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ31222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i222-22-2-2-20000000000002i−2i-2-2-22-2222000000000000−2i2i
χ32222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i222-22-2-2-2000000000000−2i2i-2-2-22-22220000000000002i−2i
χ3322-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i000022-22-22-2-2000000002i−2i0000-2-22-22-22200000000−2i2i0000
χ3422-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i000022-22-22-2-200000000−2i2i0000-2-22-22-222000000002i−2i0000
χ3522-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-2000000000000-2-22222-2-2-22000000000000
χ3622-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-2200000000000022-2-2-2-222-22000000000000-2-22222-2-22-2000000000000
χ372-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i0000002-222-2-22-20000002i−2i000000-22-2-222-22000000−2i2i000000
χ382-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i0000002-222-2-22-2000000−2i2i000000-22-2-222-220000002i−2i000000
χ392-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-200000000002-22-2-22-22002-20000000000-22-222-22-200-220000000000
χ402-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-2200000000002-22-2-22-2200-220000000000-22-222-22-2002-20000000000
χ412-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-2002-2-222-2-2200000000002-200-222-2-222-20000000000-2200
χ422-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-22002-2-222-2-220000000000-2200-222-2-222-200000000002-200
χ432-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-2000000002-2-2-2222-200002-200000000-2222-2-2-220000-2200000000
χ442-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-22000000002-2-2-2222-20000-2200000000-2222-2-2-2200002-200000000
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χ1944-44-4-44-4400-440000000000-22-222-22-2002-20000000000−1−51+5−1−51+51+5−1−51+5−1−5001+5−1−50000000000−1+51−5−1+51−51−5−1+51−5−1+5001−5−1+50000000000−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ34002ζ26+2ζ34−2ζ26−2ζ340000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46002ζ14+2ζ46−2ζ14−2ζ460000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38002ζ22+2ζ38−2ζ22−2ζ380000000000−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ58002ζ2+2ζ58−2ζ2−2ζ5800000000000000000000000000000000
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χ1964-4-444-4-440000000000-4400-222-2-222-200000000002-200−1−51+51+5−1−5−1−51+51+5−1−500000000001+5−1−500−1+51−51−5−1+5−1+51−51−5−1+500000000001−5−1+500−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ3400000000002ζ26+2ζ34−2ζ26−2ζ3400−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ4600000000002ζ14+2ζ46−2ζ14−2ζ4600−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000002ζ22+2ζ38−2ζ22−2ζ3800−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ5800000000002ζ2+2ζ58−2ζ2−2ζ58000000000000000000000000
χ1974-4-4-4444-400004-400000000-2222-2-2-220000-2200000000−1−51+51+51+5−1−5−1−5−1−51+50000−1−51+500000000−1+51−51−51−5−1+5−1+5−1+51−50000−1+51−500000000−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ340000−2ζ26−2ζ342ζ26+2ζ3400000000−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ460000−2ζ14−2ζ462ζ14+2ζ4600000000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ380000−2ζ22−2ζ382ζ22+2ζ3800000000−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ580000−2ζ2−2ζ582ζ2+2ζ58000000000000000000000000000000
χ1984-4-4-4444-40000-4400000000-2222-2-2-2200002-200000000−1−51+51+51+5−1−5−1−5−1−51+500001+5−1−500000000−1+51−51−51−5−1+5−1+5−1+51−500001−5−1+500000000−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ3400002ζ26+2ζ34−2ζ26−2ζ3400000000−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ4600002ζ14+2ζ46−2ζ14−2ζ4600000000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ3800002ζ22+2ζ38−2ζ22−2ζ3800000000−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ5800002ζ2+2ζ58−2ζ2−2ζ58000000000000000000000000000000

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