Finite Group Databasebeta

← Group #14412607

Character table — Group #14412607

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
size1111222222222222222222222222223333444444444444444444444444444444444444444444444444446666666666666666666666888888888888888888888888888812121212121212121212121212121212121212121212121212121212202020202020202040404040404040406060606060606060
order1222223444455666101010101010202020202020202044446688881010101012121212151520202020303030303030404040404040404040404040404040406060606060606060222244101010101010101020202020202020202424242430303030606060601201201201201201201201201201201201201201201201208888101010102020202040404040404040404040404040404040224444446612121212121222444444
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
χ3111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
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
χ7111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-1111111111111111111111111-1-111-1-1-1-1-1-11-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1
χ101111-1-111-1-1111111111111111111111111-1-111-1-1-1-1-1-11-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111
χ111111-1-111-1-1111111111111111111111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-111
χ121111-1-111-1-1111111111111111111111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-111-1-111-1-1
χ131111-1-111-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1-1-111
χ141111-1-111-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1
χ151111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1
χ161111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111
χ171-11-11-1111-1-111-11-1-1-1-1-1111111-1-1-1-111-1-11-1i−ii−i11-1-111-1-11111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−i1-11-11-1i−ii−i1-11-1i−ii−i
χ181-11-11-1111-1-111-11-1-1-1-1-1111111-1-1-1-111-1-11-1i−ii−i11-1-111-1-11111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−ii-11-11-11−ii−ii-11-11−ii−ii
χ191-11-11-1111-1-111-11-1-1-1-1-1111111-1-1-1-111-1-11-1−ii−ii11-1-111-1-11111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii1-11-11-1−ii−ii1-11-1−ii−ii
χ201-11-11-1111-1-111-11-1-1-1-1-1111111-1-1-1-111-1-11-1−ii−ii11-1-111-1-11111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i-11-11-11i−ii−i-11-11i−ii−i
χ211-11-11-1111-1-111-11-1-1-1-1-1111111-1-1-1-1-1-1111-1i−ii−i11-1-111-1-11111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-11111i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1-1i−ii−i1-11-11-1i−ii−i-11-11−ii−ii
χ221-11-11-1111-1-111-11-1-1-1-1-1111111-1-1-1-1-1-1111-1i−ii−i11-1-111-1-11111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-11111i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-11−ii−ii-11-11-11−ii−ii1-11-1i−ii−i
χ231-11-11-1111-1-111-11-1-1-1-1-1111111-1-1-1-1-1-1111-1−ii−ii11-1-111-1-11111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-11111−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1-1−ii−ii1-11-11-1−ii−ii-11-11i−ii−i
χ241-11-11-1111-1-111-11-1-1-1-1-1111111-1-1-1-1-1-1111-1−ii−ii11-1-111-1-11111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-11111−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-11i−ii−i-11-11-11i−ii−i1-11-1−ii−ii
χ251-11-1-1111-11-111-11-1-1-1-1-1111111-1-1-1-111-1-1-11i−i−ii-1-1111-11-111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-11-111111-1-1-1-11111-1-1-1-1i−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii-111-1-11i−i−ii-111-1i−i−ii
χ261-11-1-1111-11-111-11-1-1-1-1-1111111-1-1-1-111-1-1-11i−i−ii-1-1111-11-111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-11-111111-1-1-1-11111-1-1-1-1i−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-11−iii−i1-1-111-1−iii−i1-1-11−iii−i
χ271-11-1-1111-11-111-11-1-1-1-1-1111111-1-1-1-111-1-1-11−iii−i-1-1111-11-111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1-11-111111-1-1-1-11111-1-1-1-1−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i-111-1-11−iii−i-111-1−iii−i
χ281-11-1-1111-11-111-11-1-1-1-1-1111111-1-1-1-111-1-1-11−iii−i-1-1111-11-111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1-11-111111-1-1-1-11111-1-1-1-1−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii1-1-111-1i−i−ii1-1-11i−i−ii
χ291-11-1-1111-11-111-11-1-1-1-1-1111111-1-1-1-1-1-111-11i−i−ii-1-1111-11-111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-11111i−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii-111-1-11i−i−ii1-1-11−iii−i
χ301-11-1-1111-11-111-11-1-1-1-1-1111111-1-1-1-1-1-111-11i−i−ii-1-1111-11-111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-11111i−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i1-1-111-1−iii−i-111-1i−i−ii
χ311-11-1-1111-11-111-11-1-1-1-1-1111111-1-1-1-1-1-111-11−iii−i-1-1111-11-111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-11111−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i-111-1-11−iii−i1-1-11i−i−ii
χ321-11-1-1111-11-111-11-1-1-1-1-1111111-1-1-1-1-1-111-11−iii−i-1-1111-11-111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-11111−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-11i−i−ii1-1-111-1i−i−ii-111-1−iii−i
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+52−1−522222−1+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+52−1−52−1−52−1+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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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.