Finite Group Databasebeta

← Group #14642011

Character table — Group #14642011

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242
size11111111222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888161616161616161616161616161616161616161622222222444444444444888888888888888888888888
order122222224444444411111111112222222222222222222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444448888888844444444444444444444888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888844444444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111111111iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111111111iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111111111iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111111111iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111ii−i−i−i−iii
χ172222222222222222−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−ζ84−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−ζ8422−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−ζ84222222222222−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−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−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−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−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−ζ840000000000000000000000
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χ2418-8-8-88-88800000000−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ76−4ζ20−4ζ684ζ20+4ζ68−4ζ20−4ζ68−4ζ36−4ζ524ζ36+4ζ52−4ζ36−4ζ52−4ζ4−4ζ844ζ4+4ζ84−4ζ4−4ζ84−4ζ28−4ζ604ζ28+4ζ60−4ζ28−4ζ60−4ζ12−4ζ764ζ12+4ζ76−4ζ12−4ζ764ζ20+4ζ68−4ζ20−4ζ684ζ36+4ζ52−4ζ36−4ζ524ζ4+4ζ84−4ζ4−4ζ844ζ28+4ζ60−4ζ28−4ζ604ζ12+4ζ76−4ζ12−4ζ764ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ764ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ76000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2428-8-8-88-88800000000−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ68−4ζ4−4ζ844ζ4+4ζ84−4ζ4−4ζ84−4ζ28−4ζ604ζ28+4ζ60−4ζ28−4ζ60−4ζ36−4ζ524ζ36+4ζ52−4ζ36−4ζ52−4ζ12−4ζ764ζ12+4ζ76−4ζ12−4ζ76−4ζ20−4ζ684ζ20+4ζ68−4ζ20−4ζ684ζ4+4ζ84−4ζ4−4ζ844ζ28+4ζ60−4ζ28−4ζ604ζ36+4ζ52−4ζ36−4ζ524ζ12+4ζ76−4ζ12−4ζ764ζ20+4ζ68−4ζ20−4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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