Finite Group Databasebeta

← Group #14769701

Character table — Group #14769701

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197
size1122222222222222222444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161622224444444444444444444444444444448888888888888888
order122224444111111111122222222222244888822222222222222222222222222222244444444444444444444444444444444444444442244888888222222222222222222224444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888222222222222222222224444444444444444444488888888888888888888888888888888888888888822224444888888822448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-111
χ511111111111111111111111-1-1-1-11111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ711111111111111111111111-1-1-1-111111111111111111111111111111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-11111111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-111111111111111111111111111111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1111111-1-1
χ91111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111
χ101111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-11111-1-1-1-111-1-1
χ111111111111111111111-1-1-1-1111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111-1-111-1-1-1-1
χ121111111111111111111-1-1-1-1111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111
χ131111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1
χ141111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111
χ151111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-11111
χ161111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-111111111-1-1-1-1
χ17111-1-111-1-1111111111111-1-1ii−i−i11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1i−i1-1i−ii−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-11-11-1-1ii−i−i1-1i−ii−ii−i
χ18111-1-111-1-1111111111111-1-1ii−i−i11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1i−i1-1i−ii−i1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i-1-1-1-1-1111-11-111−i−iii-11−ii−ii−ii
χ19111-1-111-1-1111111111111-1-1ii−i−i11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11−ii-11i−i−ii1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiii-1-1-1-1-111111−i−i−i−i−iiiiii1111-11-1-1-111-1-1−i−iii-11i−ii−i−ii
χ20111-1-111-1-1111111111111-1-1ii−i−i11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11−ii-11i−i−ii1111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiii-1-1-1-1-111111−i−i−i−i−iiiiii-1-1-1-11-1111-1-111ii−i−i1-1−ii−iii−i
χ21111-1-111-1-1111111111111-1-1−i−iii11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1−ii1-1−ii−ii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-11-11-1-1−i−iii1-1−ii−ii−ii
χ22111-1-111-1-1111111111111-1-1−i−iii11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1−ii1-1−ii−ii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-1−i−i−i−i−iiiiii-1-1-1-1-1111-11-111ii−i−i-11i−ii−ii−i
χ23111-1-111-1-1111111111111-1-1−i−iii11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11i−i-11−iii−i1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiii−i−i−i−i−i-1-1-1-1-111111iiiii−i−i−i−i−i1111-11-1-1-111-1-1ii−i−i-11−ii−iii−i
χ24111-1-111-1-1111111111111-1-1−i−iii11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11i−i-11−iii−i1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiii−i−i−i−i−i-1-1-1-1-111111iiiii−i−i−i−i−i-1-1-1-11-1111-1-111−i−iii1-1i−ii−i−ii
χ25111-1-111-1-11111111111-1-111ii−i−i11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1−ii-11−iii−i-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−iiiiii-1-1-1-1-111111iiiii−i−i−i−i−i11-1-1-1111-111-1-1−i−iii1-1i−i−iii−i
χ26111-1-111-1-11111111111-1-111ii−i−i11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1−ii-11−iii−i-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−iiiiii-1-1-1-1-111111iiiii−i−i−i−i−i-1-1111-1-1-11-1-111ii−i−i-11−iii−i−ii
χ27111-1-111-1-11111111111-1-111ii−i−i11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11i−i1-1−ii−ii-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiii−i−i−i−i−i11111-1-1-1-1-1−i−i−i−i−iiiiii11-1-11-1111-11-1-1ii−i−i-11i−i−ii−ii
χ28111-1-111-1-11111111111-1-111ii−i−i11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11i−i1-1−ii−ii-1-1-1-1-1-1-1-1-1-11111111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiii−i−i−i−i−i11111-1-1-1-1-1−i−i−i−i−iiiiii-1-111-11-1-1-11-111−i−iii1-1−iii−ii−i
χ29111-1-111-1-11111111111-1-111−i−iii11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1i−i-11i−i−ii-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiii11-1-1-1111-111-1-1ii−i−i1-1−iii−i−ii
χ30111-1-111-1-11111111111-1-111−i−iii11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1i−i-11i−i−ii-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiii-1-1111-1-1-11-1-111−i−iii-11i−i−iii−i
χ31111-1-111-1-11111111111-1-111−i−iii11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11−ii1-1i−ii−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiii11111-1-1-1-1-1iiiii−i−i−i−i−i11-1-11-1111-11-1-1−i−iii-11−iii−ii−i
χ32111-1-111-1-11111111111-1-111−i−iii11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11−ii1-1i−ii−i-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiii11111-1-1-1-1-1iiiii−i−i−i−i−i-1-111-11-1-1-11-111ii−i−i1-1i−i−ii−ii
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χ1918-8000000088888-8-8-8-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000042−4200000000000000000000000
χ1928-8000000088888-8-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−424200000000000000000000000
χ19316-160000000−8ζ36−8ζ52−8ζ12−8ζ76−8ζ28−8ζ60−8ζ20−8ζ68−8ζ4−8ζ848ζ36+8ζ528ζ12+8ζ768ζ28+8ζ608ζ20+8ζ688ζ4+8ζ840000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19416-160000000−8ζ12−8ζ76−8ζ4−8ζ84−8ζ20−8ζ68−8ζ36−8ζ52−8ζ28−8ζ608ζ12+8ζ768ζ4+8ζ848ζ20+8ζ688ζ36+8ζ528ζ28+8ζ600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19516-160000000−8ζ28−8ζ60−8ζ20−8ζ68−8ζ12−8ζ76−8ζ4−8ζ84−8ζ36−8ζ528ζ28+8ζ608ζ20+8ζ688ζ12+8ζ768ζ4+8ζ848ζ36+8ζ520000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19616-160000000−8ζ20−8ζ68−8ζ36−8ζ52−8ζ4−8ζ84−8ζ28−8ζ60−8ζ12−8ζ768ζ20+8ζ688ζ36+8ζ528ζ4+8ζ848ζ28+8ζ608ζ12+8ζ760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19716-160000000−8ζ4−8ζ84−8ζ28−8ζ60−8ζ36−8ζ52−8ζ12−8ζ76−8ζ20−8ζ688ζ4+8ζ848ζ28+8ζ608ζ36+8ζ528ζ12+8ζ768ζ20+8ζ680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.