Finite Group Databasebeta

← Group #14483210

Character table — Group #14483210

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195
size111122222222222222222222222222223333444444444444444444444444444444444444444444444444444666666666666666666666666888888888888888888888888888101010101212121212121212121212121212121212121212121212121212122020202020202020202030303030404040404040606060606060
order12223444444445566610101010101020202020202020204444222101010101010101010101010121212121212121215152020202020202020202020203030303030306060606060606060222222221010101010101010202020202020202066630303030303030303030303060606060606060606060606022444441010101010101010101010102020202020202020202020204444446612124444121212121212222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ511111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1111111-1-1-1
χ611111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1111-1-1-1-1-1-1111
χ711111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111111-1-111-1-1-1-1-1111-1-1-1111
χ811111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-111111-1-1-1111-1-1-1
χ91111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1111111111-1-11-1-11-1-11-1-1
χ101111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111-111-111-111
χ111111111-1-1-1-1111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-111111111-1-1-1-1111111111-1-11-1-11111-1-1-1-11-1-11-1-1-111-111
χ121111111-1-1-1-1111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-111-111-1-1-1-11111-111-1111-1-11-1-1
χ131111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-111-1111-1-11-1-1-111
χ141111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11111-1-11-1-1-111-1111-1-1
χ151111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1111-1-1-1111-1-1
χ161111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111-1-1-1111-1-1-111
χ1711111-1-111-1-11111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-111111111-11-1-11-1-11-1-11-1
χ1811111-1-111-1-11111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-1-1-1-1-1-11-111-111-111-11
χ1911111-1-111-1-1111111111111111111111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-111111-1-1-1-111111111-1-1-1-11111-11-1-11-11111-1-1-1-1-11-1-11-11-111-11
χ2011111-1-111-1-1111111111111111111111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-111111111-1-1-1-111111-111-11-1-1-1-111111-111-11-11-1-11-1
χ2111111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-111-1-1-1-1111-11-11-1-11-11-11
χ2211111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11-11-1-11111-1-1-11-11-111-11-11-1
χ2311111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-11-11-11-11-11-11-1
χ2411111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-1-111-1-111-11-11-11-11-11-11
χ2511111-1-1-1-1111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1111111111-1-11-1-11-1-11-1-11
χ2611111-1-1-1-1111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-111-111-111-111-1
χ2711111-1-1-1-111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111111111-1-1-1-111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-1111-111-1
χ2811111-1-1-1-111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-111111111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1111111-111-1-1-11-1-11
χ2911111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-11-1-1111-1
χ3011111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1111-111-1-1-11
χ3111111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-111-1-1-1111-1-1-11
χ3211111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-1-1111-1-1-1111-1
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χ18788-8-8-40000008i−8i−2+25−2−254-44−2+252−25−2−252+252−252+25−4ζ11−4ζ19−4ζ11−4ζ194ζ11+4ζ194ζ11+4ζ19−4ζ3−4ζ7−4ζ3−4ζ74ζ3+4ζ74ζ3+4ζ70000000000000000000000000−4i4i1−51+50000000000001−5−1+51+5−1−5−1+5−1−52ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18888-8-8-40000008i−8i−2−25−2+254-44−2−252+25−2+252−252+252−25−4ζ3−4ζ7−4ζ3−4ζ74ζ3+4ζ74ζ3+4ζ7−4ζ11−4ζ19−4ζ11−4ζ194ζ11+4ζ194ζ11+4ζ190000000000000000000000000−4i4i1+51−50000000000001+5−1−51−5−1+5−1−5−1+52ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18988-8-8-4000000−8i8i−2+25−2−254-44−2+252−25−2−252+252−252+254ζ11+4ζ194ζ11+4ζ19−4ζ11−4ζ19−4ζ11−4ζ194ζ3+4ζ74ζ3+4ζ7−4ζ3−4ζ7−4ζ3−4ζ700000000000000000000000004i−4i1−51+50000000000001−5−1+51+5−1−5−1+5−1−5−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19088-8-8-4000000−8i8i−2−25−2+254-44−2−252+25−2+252−252+252−254ζ3+4ζ74ζ3+4ζ7−4ζ3−4ζ7−4ζ3−4ζ74ζ11+4ζ194ζ11+4ζ19−4ζ11−4ζ19−4ζ11−4ζ1900000000000000000000000004i−4i1+51−50000000000001+5−1−51−5−1+5−1−5−1+5−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1928-8-88-400000000−2+25−2−25-4442−25−2+252+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ74ζ3−4ζ7−4ζ3+4ζ70000000000000000000000000001−51+5000000000000−1+51−5−1−51+5−1+5−1−52ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1938-8-88-400000000−2+25−2−25-4442−25−2+252+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7−4ζ3+4ζ74ζ3−4ζ70000000000000000000000000001−51+5000000000000−1+51−5−1−51+5−1+5−1−5−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1948-8-88-400000000−2−25−2+25-4442+25−2−252−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ7−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ194ζ11−4ζ19−4ζ11+4ζ190000000000000000000000000001+51−5000000000000−1−51+5−1+51−5−1−5−1+5−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8-88-400000000−2−25−2+25-4442+25−2−252−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ74ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19−4ζ11+4ζ194ζ11−4ζ190000000000000000000000000001+51−5000000000000−1−51+5−1+51−5−1−5−1+52ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.