Finite Group Databasebeta

← Group #14416725

Character table — Group #14416725

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
size1111222222222222222222222222223333444444444444444444444444444444444444444444444444446666666666666666666666888888888888888888888888888812121212121212121212121212121212121212121212121212121212202020202020202040404040404040406060606060606060
order1222223444455666101010101010101010101010101044442222661010101010101010101010101010101012121212151520202020202020203030303030303030303030303030444444202020202020202020202020202020206666303030303030303030303030303030306060606060606060444420202020202020202020202020202020202020202020202044448888121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-11-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1
χ101111-1-11-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111
χ111111-1-11-1-11111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-111
χ121111-1-11-1-11111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-111-1-1
χ131111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-1-1-111
χ141111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-11111-1-1
χ151111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ161111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ171-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-1ii−i−i1-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1i−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−ii−ii−ii−ii−ii−ii−i1-11-11-11-1
χ181-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-1ii−i−i1-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1i−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii−ii−ii−ii−ii-11-11-11-11
χ191-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-1ii−i−i-11-111-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-1-1-11111-1-1-1-1111111-1-111-1-1−ii−iiii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiii−ii−i−ii−iii−ii−i−ii−ii1-11-1-11-11
χ201-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-1ii−i−i-11-111-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111i−ii−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-1-1-11111-1-1-1-1111111-1-111-1-1−ii−iiii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii−ii−iii−ii−i−ii−iii−ii−i-11-111-11-1
χ211-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-1−i−iii1-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−ii−ii−ii−ii−i-11-11-11-11
χ221-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-1−i−iii1-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−ii−ii−ii−ii−ii1-11-11-11-1
χ231-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-1−i−iii-11-111-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-1-1-11111-1-1-1-1111111-1-111-1-1i−ii−i−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−ii−ii−i−ii−iii−ii−i−ii−ii-11-111-11-1
χ241-1-111-111-1-11111-1-11111-1-1-1-111-1-1-1-1−i−iii-11-111-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111−ii−ii−ii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-1-1-11111-1-1-1-1111111-1-111-1-1i−ii−i−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−ii−iii−ii−i−ii−iii−ii−i1-11-1-11-11
χ251-1-11-111-11-11111-1-1-1-1-1-1111111-1-1-1-1ii−i−i1-1-11-111111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-111-1-1-1-1-1-1-1-1111111i−i−ii−iiiiii−i−i−i−i−i−i−i−iiiii1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111i−i−iiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−iii−i−iii−i−ii-111-11-1-11
χ261-1-11-111-11-11111-1-1-1-1-1-1111111-1-1-1-1ii−i−i1-1-11-111111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-111-1-1-1-1-1-1-1-1111111i−i−ii−iiiiii−i−i−i−i−i−i−i−iiiii1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111i−i−iiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i−iii−i−iii−i1-1-11-111-1
χ271-1-11-111-11-11111-1-1-1-1-1-1111111-1-1-1-1ii−i−i-111-1-11-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-1111111i−i−ii−iiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111−iii−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iii−ii−i−ii−iii−i-111-1-111-1
χ281-1-11-111-11-11111-1-1-1-1-1-1111111-1-1-1-1ii−i−i-111-1-11-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-1111111i−i−ii−iiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111−iii−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i−iii−ii−i−ii−iii−ii−i−ii1-1-111-1-11
χ291-1-11-111-11-11111-1-1-1-1-1-1111111-1-1-1-1−i−iii1-1-11-111111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-111-1-1-1-1-1-1-1-1111111−iii−ii−i−i−i−i−iiiiiiiii−i−i−i−i1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111−iii−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−iii−i−iii−i−ii1-1-11-111-1
χ301-1-11-111-11-11111-1-1-1-1-1-1111111-1-1-1-1−i−iii1-1-11-111111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-111-1-1-1-1-1-1-1-1111111−iii−ii−i−i−i−i−iiiiiiiii−i−i−i−i1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111−iii−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iii−i−iii−i−iii−i-111-11-1-11
χ311-1-11-111-11-11111-1-1-1-1-1-1111111-1-1-1-1−i−iii-111-1-11-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-1111111−iii−ii−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111i−i−ii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiiii−i−ii−iii−ii−i−ii−iii−i1-1-111-1-11
χ321-1-11-111-11-11111-1-1-1-1-1-1111111-1-1-1-1−i−iii-111-1-11-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-1111111−iii−ii−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111i−i−ii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−ii−iii−ii−i−ii-111-1-111-1
χ3322222222222−1+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+52−1−522222222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
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χ3522222222222−1+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+52−1−52-2-2-2-2222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-21−521−521+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+52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+52000000000000000000000000
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χ18088-8-800-40000−2−25−2+254-44−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ14−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−25−2−25−2+252+252−250000000000000000000000000000001+51−5000000001+5−1−51−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18188-8-800-40000−2−25−2+254-444ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ144ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−25−2−25−2+252+252−250000000000000000000000000000001+51−5000000001+5−1−51−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1828-88-800-400008844-400000000-8-8-8-888000000000000000000000000000000-4-4000000004-44-40000000044000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1838-88-800-40000−2+25−2−2544-44ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ182−252+252−252+25−2+25−2−250000000000000000000000000000001−51+500000000−1+51−5−1−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1848-88-800-40000−2+25−2−2544-4−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ182−252+252−252+25−2+25−2−250000000000000000000000000000001−51+500000000−1+51−5−1−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1858-88-800-40000−2−25−2+2544-4−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−252+252−25−2−25−2+250000000000000000000000000000001+51−500000000−1−51+5−1+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1868-88-800-40000−2−25−2+2544-44ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−252+252−25−2−25−2+250000000000000000000000000000001+51−500000000−1−51+5−1+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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