Finite Group Databasebeta

← Group #14769813

Character table — Group #14769813

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218
size111122222222222222222222222222444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161622222222222222224444444444444444444444448888888888888888
order122222444411111111112222222222222222222222222222222244444444442222222222222222222244444444444444444444444444444444444444444444888822222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888822224444888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111
χ511111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ9111111111111111111111111111111-1-11111-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1111111-1-1-1-111-1-1
χ10111111111111111111111111111111-1-11111-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ11111111111111111111111111111111-1-11111-1-1-1-1-1-1111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ12111111111111111111111111111111-1-11111-1-1-1-1-1-1111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1
χ13111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ14111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ15111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ171-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-1111111-1i−ii−i1-1ii−i−i11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1i−i1-11-1i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-111-1-1ii−i−i1-11-11-11-11-1i−ii−i1-1i−ii−i
χ181-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-1111111-1i−ii−i1-1ii−i−i11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1i−i1-11-1i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−i11111-1-1-1-1-1-1-111−i−iii-11-11-11-11-11−ii−ii-11−ii−ii
χ191-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-1111111-1i−ii−i1-1−i−iii11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1i−i-11-11−ii11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111−i−i−i−i−iiiiii-1-1-1-1-11111111-1-1−i−iii1-1-111-1-111-1−iii−i-11i−i−ii
χ201-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-1111111-1i−ii−i1-1−i−iii11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1i−i-11-11−ii11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111−i−i−i−i−iiiiii-1-1-1-1-111111-1-111ii−i−i-111-1-111-1-11i−i−ii1-1−iii−i
χ211-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-1111111-1−ii−ii1-1ii−i−i11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−ii-11-11i−i11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111iiiii−i−i−i−i−i-1-1-1-1-11111111-1-1ii−i−i1-1-111-1-111-1i−i−ii-11−iii−i
χ221-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-1111111-1−ii−ii1-1ii−i−i11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−ii-11-11i−i11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111iiiii−i−i−i−i−i-1-1-1-1-111111-1-111−i−iii-111-1-111-1-11−iii−i1-1i−i−ii
χ231-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-1111111-1−ii−ii1-1−i−iii11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−ii1-11-1−ii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-111-1-1−i−iii1-11-11-11-11-1−ii−ii1-1−ii−ii
χ241-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-1111111-1−ii−ii1-1−i−iii11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−ii1-11-1−ii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−iiiiii11111-1-1-1-1-1-1-111ii−i−i-11-11-11-11-11i−ii−i-11i−ii−i
χ251-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-111111-11i−ii−i-11ii−i−i11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−ii-111-1−ii-1-1-1-1-111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiii11111-1-1-1-1-111-1-1ii−i−i-111-1-111-11-1i−i−ii-11i−i−ii
χ261-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-111111-11i−ii−i-11ii−i−i11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−ii-111-1−ii-1-1-1-1-111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiii11111-1-1-1-1-1-1-111−i−iii1-1-111-1-11-11−iii−i1-1−iii−i
χ271-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-111111-11i−ii−i-11−i−iii11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−ii1-1-11i−i-1-1-1-1-111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1iiiii−i−i−i−i−i-1-1-1-1-11111111-1-1−i−iii-11-11-11-111-1−ii−ii1-1i−ii−i
χ281-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-111111-11i−ii−i-11−i−iii11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1−ii1-1-11i−i-1-1-1-1-111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1iiiii−i−i−i−i−i-1-1-1-1-111111-1-111ii−i−i1-11-11-11-1-11i−ii−i-11−ii−ii
χ291-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-111111-11−ii−ii-11ii−i−i11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1i−i1-1-11−ii-1-1-1-1-111111−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1−i−i−i−i−iiiiii-1-1-1-1-11111111-1-1ii−i−i-11-11-11-111-1i−ii−i1-1−ii−ii
χ301-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-111111-11−ii−ii-11ii−i−i11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1i−i1-1-11−ii-1-1-1-1-111111−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1−i−i−i−i−iiiiii-1-1-1-1-111111-1-111−i−iii1-11-11-11-1-11−ii−ii-11i−ii−i
χ311-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-111111-11−ii−ii-11−i−iii11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1i−i-111-1i−i-1-1-1-1-111111−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiii−i−i−i−i−i11111-1-1-1-1-111-1-1−i−iii-111-1-111-11-1−iii−i-11−iii−i
χ321-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-111111-11−ii−ii-11−i−iii11111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1i−i-111-1i−i-1-1-1-1-111111−i−i−i−i−iiiiii−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiii−i−i−i−i−i11111-1-1-1-1-1-1-111ii−i−i1-1-111-1-11-11i−i−ii1-1i−i−ii
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χ2188-88-8000000−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ68−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ6800000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2ζ62−2ζ702ζ62+2ζ70−2ζ6−2ζ382ζ6+2ζ38−2ζ14−2ζ302ζ14+2ζ30−2ζ54−2ζ782ζ54+2ζ78−2ζ46−2ζ862ζ46+2ζ862ζ62+2ζ70−2ζ62−2ζ702ζ6+2ζ38−2ζ6−2ζ382ζ14+2ζ30−2ζ14−2ζ302ζ54+2ζ78−2ζ54−2ζ782ζ46+2ζ86−2ζ46−2ζ860000000000000000000000000000000000000000000000000000000000

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