Finite Group Databasebeta

← Group #15634813

Character table — Group #15634813

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203
size11112222222222222222222222224444444444444444444444444444444448888888888888888888888888888888888888888888888888888888888888888888888888111111111616161616161616161616161616161616161616161616161616161616161616161616161616161622222222444444444444444444444444448888888888888888
order122244441111111111222222222222222222222222222222444444444888844444444444444444444444444444444444444442222448844444444444444444444444444444444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888884444222222222222222222222222222222222222222244444444444444444444888888888888888888882244444444444888822444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-1-1-11111111111111111111111-1-11-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-111-1-1-1-1
χ411111111111111111111111111111111-1-1111-1-1-1-11111111111111111111111-1-11-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11111
χ5111111111111111111111111111111-1-111111-1-1-1-111111111111111111111-1-111-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-11-1-111-1-1
χ6111111111111111111111111111111-1-111111-1-1-1-111111111111111111111-1-111-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111
χ7111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111111111111111111111111-1-111111-1-11111111111111111111111111-11-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-11-11-1-1-1
χ101111111111111111111111111111-1-111111-1-11111111111111111111111111-11-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1111
χ111111111111111111111111111111-1-111-1-11-1-1-1-1-1-1111111111111111111111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1111
χ121111111111111111111111111111-1-111-1-11-1-1-1-1-1-1111111111111111111111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-11111-1-11111111-1-111-1-1-1
χ131111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111111111111111111111-111-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-11-1-111-111
χ141111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111111111111111111111-111-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1111111-1-11111-111-1-11-1-1
χ151111111111111111111111111111-1-1-1-1-1-11-1-1111111111111111111111111-11-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-11-11-1-1
χ161111111111111111111111111111-1-1-1-1-1-11-1-1111111111111111111111111-11-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-111
χ171111-1-111111111111111111111111-11111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-111-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-11-11-1111111-1-1-11-11-1-11-1
χ181111-1-111111111111111111111111-11111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-111-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1111-11-11-1-1-1-1-1-1111-11-111-11
χ191111-1-111111111111111111111111-111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-1-11-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-11-111-1-1-1-111-1-1-1111-11
χ201111-1-111111111111111111111111-111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-1-11-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-11-11-1-11111-1-1111-1-1-11-1
χ211111-1-111111111111111111111111-1-1-111-11-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-11-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111111-1-1-11-11-1-1-111-1-111111-1-1-1-11
χ221111-1-111111111111111111111111-1-1-111-11-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-11-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1111-11-1111-1-111-1-1-1-1-11111-1
χ231111-1-111111111111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1111-11-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1111111111111111-1-1-1-1-111111-1-1-1-1-111-1-1-11-11-1-1-1-1-111-1-11-11-1111-1
χ241111-1-111111111111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1111-11-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-111111-1-1-1-1-1-1-1111-11-111111-1-111-11-11-1-1-11
χ251111-1-11111111111111111111111-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-11111111-1-11-1-1-1-11-11
χ261111-1-11111111111111111111111-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-11111-11-1-1-1-1-1-1-111-11111-11-1
χ271111-1-11111111111111111111111-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-11-1111-1-1-1-11111-1-11-11-1
χ281111-1-11111111111111111111111-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-11111-11-1-1-11111-1-1-1-111-11-11
χ291111-1-11111111111111111111111-11-1-111-1-11-1-111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11-11-1-111-1-111-1-111-111-1
χ301111-1-11111111111111111111111-11-1-111-1-11-1-111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-11-111-1-111-1-111-1-11-1-11
χ311111-1-11111111111111111111111-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111-1-1-1-11-11-1-1-1-111-1-1-11111-1-11
χ321111-1-11111111111111111111111-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-11111-11-11111-1-1111-1-1-1-111-1
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χ2008-8-8800-88−4ζ12−4ζ76−4ζ4−4ζ84−4ζ20−4ζ68−4ζ36−4ζ52−4ζ28−4ζ604ζ12+4ζ764ζ4+4ζ844ζ20+4ζ684ζ36+4ζ524ζ28+4ζ60−4ζ12−4ζ76−4ζ4−4ζ84−4ζ20−4ζ68−4ζ36−4ζ52−4ζ28−4ζ604ζ12+4ζ764ζ4+4ζ844ζ20+4ζ684ζ36+4ζ524ζ28+4ζ60000000000000000000000004ζ12+4ζ764ζ4+4ζ844ζ20+4ζ684ζ36+4ζ524ζ28+4ζ60−4ζ12−4ζ76−4ζ4−4ζ84−4ζ20−4ζ68−4ζ36−4ζ52−4ζ28−4ζ600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2018-8-8800-88−4ζ28−4ζ60−4ζ20−4ζ68−4ζ12−4ζ76−4ζ4−4ζ84−4ζ36−4ζ524ζ28+4ζ604ζ20+4ζ684ζ12+4ζ764ζ4+4ζ844ζ36+4ζ52−4ζ28−4ζ60−4ζ20−4ζ68−4ζ12−4ζ76−4ζ4−4ζ84−4ζ36−4ζ524ζ28+4ζ604ζ20+4ζ684ζ12+4ζ764ζ4+4ζ844ζ36+4ζ52000000000000000000000004ζ28+4ζ604ζ20+4ζ684ζ12+4ζ764ζ4+4ζ844ζ36+4ζ52−4ζ28−4ζ60−4ζ20−4ζ68−4ζ12−4ζ76−4ζ4−4ζ84−4ζ36−4ζ520000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2028-8-8800-88−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ764ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ76−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ764ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ76000000000000000000000004ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ76−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2038-8-8800-88−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ68−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ68000000000000000000000004ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ68−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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