Finite Group Databasebeta

← Group #14416788

Character table — Group #14416788

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
size1111222222222222222222222222223333444444444444444444444444444444444444444444444444446666666666666666666666888888888888888888888888888812121212121212121212121212121212121212121212121212121212202020202020202040404040404040406060606060606060
order12223444444556661010101010102020202020202020444422441010101010101010121212121212151520202020202020202020202020202020303030303030606060606060606022444410101010101010102020202020202020661212303030303030303060606060606060606060606060606060224410101010101010102020202020202020202020202020202044448888121212122424242422448888
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
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
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
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-11111-1-1
χ1011111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-11111-1-1-1-111
χ1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111
χ1211111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ1311111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111
χ1411111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1
χ1511111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ1611111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-111-1-111
χ1711-1-11i−ii−i1-111-11-111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i1111-1-1-1-1i−ii−i1-11111-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i1-11-1i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-1i−i1111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1-1i−i1-1i−i1-1i−i1-1i−i1-1i−ii−i1-1
χ1811-1-11i−ii−i1-111-11-111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i1111-1-1-1-1i−ii−i1-11111-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i1-11-1i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-1i−i1111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-11−ii-11−ii-11−ii-11−ii-11−ii−ii-11
χ1911-1-11i−ii−i1-111-11-111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-1-1-1-11111i−ii−i1-11111-1-1ii−i−i−i−i−i−iiiii11-1-1-1-1iiii−i−i−i−i1-11-1i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii-11−ii-1-1-1-11111ii−i−i11-1-1−i−i−i−iiiii1-1i−i-11−ii1-1i−i-11−ii1-1i−i−ii-11
χ2011-1-11i−ii−i1-111-11-111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-1-1-1-11111i−ii−i1-11111-1-1ii−i−i−i−i−i−iiiii11-1-1-1-1iiii−i−i−i−i1-11-1i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii-11−ii-1-1-1-11111ii−i−i11-1-1−i−i−i−iiiii-11−ii1-1i−i-11−ii1-1i−i-11−iii−i1-1
χ2111-1-11i−ii−i1-111-11-111-1-1-1-1iiii−i−i−i−i−i−iii1-1i−i1111-1-1-1-1i−ii−i1-11111-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i-11-11−ii-1-1-1-11111−i−i−i−iiiii1-1i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-11−ii-1-1-1-11111−i−iii-1-111−i−i−i−iiiii1-1i−i1-1i−i1-1i−i1-1i−i-11−ii−ii-11
χ2211-1-11i−ii−i1-111-11-111-1-1-1-1iiii−i−i−i−i−i−iii1-1i−i1111-1-1-1-1i−ii−i1-11111-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i-11-11−ii-1-1-1-11111−i−i−i−iiiii1-1i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-11−ii-1-1-1-11111−i−iii-1-111−i−i−i−iiiii-11−ii-11−ii-11−ii-11−ii1-1i−ii−i1-1
χ2311-1-11i−ii−i1-111-11-111-1-1-1-1iiii−i−i−i−i−i−iii-11−ii-1-1-1-11111i−ii−i1-11111-1-1ii−i−i−i−i−i−iiiii11-1-1-1-1iiii−i−i−i−i-11-11−ii-1-1-1-11111−i−i−i−iiiii-11−ii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii1-1i−i1111-1-1-1-1−i−iii-1-111iiii−i−i−i−i1-1i−i-11−ii1-1i−i-11−ii-11−iii−i1-1
χ2411-1-11i−ii−i1-111-11-111-1-1-1-1iiii−i−i−i−i−i−iii-11−ii-1-1-1-11111i−ii−i1-11111-1-1ii−i−i−i−i−i−iiiii11-1-1-1-1iiii−i−i−i−i-11-11−ii-1-1-1-11111−i−i−i−iiiii-11−ii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii1-1i−i1111-1-1-1-1−i−iii-1-111iiii−i−i−i−i-11−ii1-1i−i-11−ii1-1i−i1-1i−i−ii-11
χ2511-1-11−ii−ii1-111-11-111-1-1-1-1−i−i−i−iiiiiii−i−i1-1−ii1111-1-1-1-1−ii−ii1-11111-1-1−i−iii−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii-11-11i−i-1-1-1-11111iiii−i−i−i−i1-1−ii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-11i−i-1-1-1-11111ii−i−i-1-111iiii−i−i−i−i1-1−ii1-1−ii1-1−ii1-1−ii-11i−ii−i-11
χ2611-1-11−ii−ii1-111-11-111-1-1-1-1−i−i−i−iiiiiii−i−i1-1−ii1111-1-1-1-1−ii−ii1-11111-1-1−i−iii−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii-11-11i−i-1-1-1-11111iiii−i−i−i−i1-1−ii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-11i−i-1-1-1-11111ii−i−i-1-111iiii−i−i−i−i-11i−i-11i−i-11i−i-11i−i1-1−ii−ii1-1
χ2711-1-11−ii−ii1-111-11-111-1-1-1-1−i−i−i−iiiiiii−i−i-11i−i-1-1-1-11111−ii−ii1-11111-1-1−i−iiiiiii−i−i−i−i11-1-1-1-1−i−i−i−iiiii-11-11i−i-1-1-1-11111iiii−i−i−i−i-11i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i1-1−ii1111-1-1-1-1ii−i−i-1-111−i−i−i−iiiii1-1−ii-11i−i1-1−ii-11i−i-11i−i−ii1-1
χ2811-1-11−ii−ii1-111-11-111-1-1-1-1−i−i−i−iiiiiii−i−i-11i−i-1-1-1-11111−ii−ii1-11111-1-1−i−iiiiiii−i−i−i−i11-1-1-1-1−i−i−i−iiiii-11-11i−i-1-1-1-11111iiii−i−i−i−i-11i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i1-1−ii1111-1-1-1-1ii−i−i-1-111−i−i−i−iiiii-11i−i1-1−ii-11i−i1-1−ii1-1−iii−i-11
χ2911-1-11−ii−ii1-111-11-111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii1111-1-1-1-1−ii−ii1-11111-1-1−i−iii−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii1-11-1−ii1111-1-1-1-1−i−i−i−iiiii1-1−ii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-1−ii1111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1-1−ii1-1−ii1-1−ii1-1−ii1-1−ii−ii1-1
χ3011-1-11−ii−ii1-111-11-111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii1111-1-1-1-1−ii−ii1-11111-1-1−i−iii−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii1-11-1−ii1111-1-1-1-1−i−i−i−iiiii1-1−ii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-1−ii1111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii-11i−i-11i−i-11i−i-11i−i-11i−ii−i-11
χ3111-1-11−ii−ii1-111-11-111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-1-1-11111−ii−ii1-11111-1-1−i−iiiiiii−i−i−i−i11-1-1-1-1−i−i−i−iiiii1-11-1−ii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i-11i−i-1-1-1-11111−i−iii11-1-1iiii−i−i−i−i1-1−ii-11i−i1-1−ii-11i−i1-1−iii−i-11
χ3211-1-11−ii−ii1-111-11-111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-1-1-11111−ii−ii1-11111-1-1−i−iiiiiii−i−i−i−i11-1-1-1-1−i−i−i−iiiii1-11-1−ii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i-11i−i-1-1-1-11111−i−iii11-1-1iiii−i−i−i−i-11i−i1-1−ii-11i−i1-1−ii-11i−i−ii1-1
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χ3422222222222−1+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+52−1−52−1−522222-2-2-2-21−521−521+521+521−521−521+521+52222222−1+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+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+52−1−52−1−52-2-2-2-21−521−521+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+52-2-2-2-21−521−521+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+52000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.