Finite Group Databasebeta

← Group #14801774

Character table — Group #14801774

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206
size11112222222222222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616222222224444444444448888888888888888176176
order122222444411111111112222222222222222222222222222222244444422222222222222222222444444444444444444444444444444444444444444448822222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444844444444444444444444888888888888888888888888888888888888888888888888882244448848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ51111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-111111-1-1
χ61111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1111111-1-1-1-1
χ9111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11-11-1-1-1-1-11
χ10111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-111111-1
χ11111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11-1
χ12111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11
χ13111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1
χ14111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11
χ15111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1111-11-111-1-1-11
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-11-11-1-1111-1
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χ2038-88-8000000−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ764ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ764ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ76−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ7600004-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2ζ20−2ζ682ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ36−2ζ522ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ4−2ζ842ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ28−2ζ602ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ12−2ζ762ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ760000000000000000000000000000000000000000000000000000
χ2048-88-8000000−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ764ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ764ζ20+4ζ684ζ36+4ζ524ζ4+4ζ844ζ28+4ζ604ζ12+4ζ76−4ζ20−4ζ68−4ζ36−4ζ52−4ζ4−4ζ84−4ζ28−4ζ60−4ζ12−4ζ760000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ682ζ20+2ζ682ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ522ζ36+2ζ522ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ4+2ζ842ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ28+2ζ602ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ762ζ12+2ζ760000000000000000000000000000000000000000000000000000
χ2058-88-8000000−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ68−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ6800004-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2ζ4−2ζ842ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ28−2ζ602ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ36−2ζ522ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ12−2ζ762ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ20−2ζ682ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ680000000000000000000000000000000000000000000000000000
χ2068-88-8000000−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ684ζ4+4ζ844ζ28+4ζ604ζ36+4ζ524ζ12+4ζ764ζ20+4ζ68−4ζ4−4ζ84−4ζ28−4ζ60−4ζ36−4ζ52−4ζ12−4ζ76−4ζ20−4ζ680000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ4+2ζ842ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ28+2ζ602ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ522ζ36+2ζ522ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ762ζ12+2ζ762ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ682ζ20+2ζ680000000000000000000000000000000000000000000000000000

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