Finite Group Databasebeta

← Group #14730913

Character table — Group #14730913

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206
size111122222222222222222222222222222244444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616164444444444444444888888888888888888888888
order122222444444441111111111222222222222222222222222222222224444222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444422882222222222222222222222222222222222222222888888888888888888888888888888888888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ91111-1-11-1-1-1-11111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-111-1-1
χ101111-1-11-1-1-1-11111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-11-1-111
χ111111-1-11-1-1-1-11111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11-1-111-1111-1-1
χ121111-1-11-1-1-1-11111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-111-1-11-1-1-111
χ131111-1-11-1-1-1-111111111111111111111111-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1111-1-1-11-1-111
χ141111-1-11-1-1-1-111111111111111111111111-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1111-111-1-1
χ151111-1-11-1-1-1-111111111111111111111111-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1111-1-1-111
χ161111-1-11-1-1-1-111111111111111111111111-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1111-1-1
χ1722222222222222−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84222222−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−ζ4−ζ8422−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−ζ4−ζ84−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ4−ζ842222−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ8400000000000000000000
χ1822222222222222−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84222222−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−ζ4−ζ8422−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−ζ4−ζ84−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84-2-2-2-2ζ36+ζ52ζ36+ζ52ζ12+ζ76ζ12+ζ76ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ12+ζ76ζ12+ζ76ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ12+ζ76ζ12+ζ76ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ12+ζ76ζ12+ζ76ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ4+ζ84ζ4+ζ8400000000000000000000
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χ2038-8-8800000-88000−4ζ12−4ζ76−4ζ4−4ζ84−4ζ20−4ζ68−4ζ36−4ζ52−4ζ28−4ζ604ζ12+4ζ764ζ12+4ζ76−4ζ12−4ζ764ζ4+4ζ844ζ4+4ζ84−4ζ4−4ζ844ζ20+4ζ684ζ20+4ζ68−4ζ20−4ζ684ζ36+4ζ524ζ36+4ζ52−4ζ36−4ζ524ζ28+4ζ604ζ28+4ζ60−4ζ28−4ζ600000000000000000000000000000000004ζ12+4ζ76−4ζ12−4ζ76004ζ4+4ζ84−4ζ4−4ζ84004ζ20+4ζ68−4ζ20−4ζ68004ζ36+4ζ52−4ζ36−4ζ52004ζ28+4ζ60−4ζ28−4ζ600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2048-8-8800000-88000−4ζ28−4ζ60−4ζ20−4ζ68−4ζ12−4ζ76−4ζ4−4ζ84−4ζ36−4ζ524ζ28+4ζ604ζ28+4ζ60−4ζ28−4ζ604ζ20+4ζ684ζ20+4ζ68−4ζ20−4ζ684ζ12+4ζ764ζ12+4ζ76−4ζ12−4ζ764ζ4+4ζ844ζ4+4ζ84−4ζ4−4ζ844ζ36+4ζ524ζ36+4ζ52−4ζ36−4ζ520000000000000000000000000000000004ζ28+4ζ60−4ζ28−4ζ60004ζ20+4ζ68−4ζ20−4ζ68004ζ12+4ζ76−4ζ12−4ζ76004ζ4+4ζ84−4ζ4−4ζ84004ζ36+4ζ52−4ζ36−4ζ520000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2058-8-8800000-88000−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ764ζ20+4ζ684ζ20+4ζ68−4ζ20−4ζ684ζ36+4ζ524ζ36+4ζ52−4ζ36−4ζ524ζ4+4ζ844ζ4+4ζ84−4ζ4−4ζ844ζ28+4ζ604ζ28+4ζ60−4ζ28−4ζ604ζ12+4ζ764ζ12+4ζ76−4ζ12−4ζ760000000000000000000000000000000004ζ20+4ζ68−4ζ20−4ζ68004ζ36+4ζ52−4ζ36−4ζ52004ζ4+4ζ84−4ζ4−4ζ84004ζ28+4ζ60−4ζ28−4ζ60004ζ12+4ζ76−4ζ12−4ζ760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2068-8-8800000-88000−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ684ζ4+4ζ844ζ4+4ζ84−4ζ4−4ζ844ζ28+4ζ604ζ28+4ζ60−4ζ28−4ζ604ζ36+4ζ524ζ36+4ζ52−4ζ36−4ζ524ζ12+4ζ764ζ12+4ζ76−4ζ12−4ζ764ζ20+4ζ684ζ20+4ζ68−4ζ20−4ζ680000000000000000000000000000000004ζ4+4ζ84−4ζ4−4ζ84004ζ28+4ζ60−4ζ28−4ζ60004ζ36+4ζ52−4ζ36−4ζ52004ζ12+4ζ76−4ζ12−4ζ76004ζ20+4ζ68−4ζ20−4ζ680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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