Finite Group Databasebeta

← Group #13069578

Character table — Group #13069578

Order 1408.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184
size111111112222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888882222222222222222222222222222222288888888
order122222224444444444441111111111222222222222222222222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444488888888888888884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91-1-1-1111-11111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101-1-1-1111-11111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111-1-1-1111-11111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111iiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121-1-1-1111-11111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131-1-1-1111-111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i−i−i−i−iiiiii−i−ii
χ141-1-1-1111-111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−iiiiiiiii−i−i−i−i−iii−i
χ151-1-1-1111-111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i
χ161-1-1-1111-111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii
χ1722222222222222222222−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−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−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−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−ζ84−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−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
χ1822222222222222222222−ζ36−ζ52−ζ12−ζ76−ζ28−ζ60−ζ20−ζ68−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−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−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−ζ84−ζ36−ζ52−ζ36−ζ52−ζ12−ζ76−ζ12−ζ76−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−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
χ1922222222222222222222−ζ12−ζ76−ζ4−ζ84−ζ20−ζ68−ζ36−ζ52−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ4−ζ84−ζ20−ζ68−ζ36−ζ52−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ602222−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ6000000000000000000000
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χ1844-4-444-4-4400-444-4000000−2ζ4−2ζ84−2ζ28−2ζ60−2ζ36−2ζ52−2ζ12−2ζ76−2ζ20−2ζ682ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ522ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ762ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ4−2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ60−2ζ36−2ζ522ζ36+2ζ52−2ζ12−2ζ762ζ12+2ζ76−2ζ20−2ζ682ζ20+2ζ682ζ4+2ζ842ζ28+2ζ602ζ36+2ζ522ζ12+2ζ762ζ20+2ζ68000000000000000000002ζ4+2ζ84−2ζ4−2ζ842ζ28+2ζ60−2ζ28−2ζ602ζ36+2ζ52−2ζ36−2ζ522ζ12+2ζ76−2ζ12−2ζ762ζ20+2ζ68−2ζ20−2ζ68−2ζ4−2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ60−2ζ36−2ζ522ζ36+2ζ52−2ζ12−2ζ762ζ12+2ζ76−2ζ20−2ζ682ζ20+2ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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