Finite Group Databasebeta

← Group #14719862

Character table — Group #14719862

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212
size111122222222222222222222222222222244444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616222222222222222244444444888888888888888888888888
order122222224444441111111111222222222222222222222222222222242222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444488888888222222222244444444448888888888888888888888888888888888888888888888888888888888888888888888888888888844444444444444444444444444444444444444448888888888888888888888888888888888888888222222442444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1ii−i−iii−i−i11111-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i111111-1-11-1-1-11-11-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1ii−i−iii−i−i11111-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-111-1111-11-11−i−iii−i−iii
χ1111111111-1-1-1-1-1-1111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1−i−iii−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii111111-1-11-1-1-11-11-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1−i−iii−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-1-111-1111-11-11ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11ii−i−i−i−iii11111-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii111111-1-11-1-1-1-11-11ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11ii−i−i−i−iii11111-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-1-111-11111-11-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11−i−iiiii−i−i11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-1-1-1-111111-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i111111-1-11-1-1-1-11-11−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1111111111111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11−i−iiiii−i−i11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-1-1-1-111111-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-111-11111-11-1ii−i−i−i−iii
χ17111111-1-111-1-1-1-111111111111111111111-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1i−ii−ii−ii−i-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1111-1-111-11-1-111-1-1i−ii−ii−ii−i
χ18111111-1-111-1-1-1-111111111111111111111-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1i−ii−ii−ii−i-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-1-1-111-1-11-111-1-111−ii−ii−ii−ii
χ19111111-1-111-1-1-1-111111111111111111111-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−ii−ii−ii−ii-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1111-1-111-11-1-111-1-1−ii−ii−ii−ii
χ20111111-1-111-1-1-1-111111111111111111111-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−ii−ii−ii−ii-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-1-1-111-1-11-111-1-111i−ii−ii−ii−i
χ21111111-1-111-1-1-1-111111111111111111111-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i−ii−ii-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−iiiiii−i−i−i−i−iiiiii1111-1-111-11-1-1-1-111i−ii−i−ii−ii
χ22111111-1-111-1-1-1-111111111111111111111-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i−ii−ii-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-1-1-111-1-11-11111-1-1−ii−iii−ii−i
χ23111111-1-111-1-1-1-111111111111111111111-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii−iii−ii−i-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-1-1-1-1-1-11111111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i1111-1-111-11-1-1-1-111−ii−iii−ii−i
χ24111111-1-111-1-1-1-111111111111111111111-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii−iii−ii−i-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-1-1-1-1-1-11111111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-1-1-111-1-11-11111-1-1i−ii−i−ii−ii
χ25111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-111-1-111-1-11
χ26111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-111-1-111-1-111-1
χ27111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1111-1-11-111-1-111-1
χ28111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-1-111-11-1-111-1-11
χ29111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-11-1-11-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-111-111-11-1-11-111-1
χ30111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-11-1-11-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-11-1-11-111-11-1-11
χ31111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-111-1-111-11-1-11
χ32111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-11-1-111-1-11-111-1
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Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.