Finite Group Databasebeta

← Group #13068430

Character table — Group #13068430

Order 1408.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196
size11111111222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888811111111111111112222222222222222222222224444444444444444
order122222224444888888881111111111222222222222222222222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444448888888822224444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ7111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ8111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911-111-1-1-11-1-11iiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1ii−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-111-1-1ii−i−i
χ1011-111-1-1-11-1-11iiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1ii−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iii-1-1-1-11111-1-111−i−iii
χ1111-111-1-1-11-1-11iiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111−i−iii1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−iii−i−i1111-1-1-1-1-1-111−i−iii
χ1211-111-1-1-11-1-11iiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111−i−iii1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iiiii−i−iii-1-1-1-1111111-1-1ii−i−i
χ1311-111-1-1-11-1-11−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1−i−iii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−iii−i−i-1-1-1-11111-1-111ii−i−i
χ1411-111-1-1-11-1-11−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1−i−iii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iiiii−i−iii1111-1-1-1-111-1-1−i−iii
χ1511-111-1-1-11-1-11−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111ii−i−i1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii−i−i-1-1-1-1111111-1-1−i−iii
χ1611-111-1-1-11-1-11−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111ii−i−i1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iii1111-1-1-1-1-1-111ii−i−i
χ171-111-1-1-111-11-111-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−i11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−iii−i−iii−i−ii−ii−iii−i−iii−i−i1-11-11-11-1
χ181-111-1-1-111-11-111-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−i11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−iii−i−iii−ii−ii−i−iii−i−iii-11-11-11-11
χ191-111-1-1-111-11-111-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiiiii−i−iii−i−ii−ii−iii−i−iii−i−i-11-11-11-11
χ201-111-1-1-111-11-111-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−iii−i−iii−ii−ii−i−iii−i−iii1-11-11-11-1
χ211-111-1-1-111-11-1-1-111-1-11111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−ii11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiii−i−i−i−i−iiiiiiii−i−iii−i−ii−ii−i−i−iii−i−iii-11-111-11-1
χ221-111-1-1-111-11-1-1-111-1-11111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−ii11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−iii−i−iii−ii−iiii−i−iii−i−i1-11-1-11-11
χ231-111-1-1-111-11-1-1-111-1-11111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−iiiiii−i−i−i−i−iii−i−iii−i−ii−ii−i−i−iii−i−iii1-11-1-11-11
χ241-111-1-1-111-11-1-1-111-1-11111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−iii−i−iii−ii−iiii−i−iii−i−i-11-111-11-1
χ251-1-11-111-111-1-1ii−i−i−i−iii11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111i−i−ii-111-111111-1-1-1-1-111111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiii-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1111-1-11−i−iiiii−i−i-111-1−iii−i
χ261-1-11-111-111-1-1ii−i−i−i−iii11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111i−i−ii-111-111111-1-1-1-1-111111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiii-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-111-1ii−i−i−i−iii1-1-11i−i−ii
χ271-1-11-111-111-1-1ii−i−i−i−iii11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111−iii−i1-1-1111111-1-1-1-1-111111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−i11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-11−i−iiiii−i−i1-1-11i−i−ii
χ281-1-11-111-111-1-1ii−i−i−i−iii11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111−iii−i1-1-1111111-1-1-1-1-111111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−i11111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1ii−i−i−i−iii-111-1−iii−i
χ291-1-11-111-111-1-1−i−iiiii−i−i11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111i−i−ii1-1-1111111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiii11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-11ii−i−i−i−iii1-1-11−iii−i
χ301-1-11-111-111-1-1−i−iiiii−i−i11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111i−i−ii1-1-1111111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiii11111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1−i−iiiii−i−i-111-1i−i−ii
χ311-1-11-111-111-1-1−i−iiiii−i−i11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111−iii−i-111-111111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1111-1-11ii−i−i−i−iii-111-1i−i−ii
χ321-1-11-111-111-1-1−i−iiiii−i−i11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111−iii−i-111-111111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-111-1−i−iiiii−i−i1-1-11−iii−i
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Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.