Finite Group Databasebeta

← Group #13506708

Character table — Group #13506708

Order 1792.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196
size11112222222222222222222222222222224444444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888888888888888888888814141414141414142828282828282828282828285656565656565656
order122222222244444444777888814141414141414141488888814141414141414141414141414141414141428282828282828282828282828282828282828282828282856565656565656565656565622222244141414141414141414141414141414141414141414141414141414141414141414141414282828282828282828282828565656565656565656565656565656565656161616161616161616161616161616161616161644444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ7111111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ8111111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-111-1-11-1-111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ101111-1-111-1-11-1-111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ111111-1-111-1-11-1-111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ121111-1-111-1-11-1-111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ131111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ141111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ151111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ161111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1711-1-11-11-11-1-11-11-11-1111111-1-1-1-1-1-1-1-11111-11-11-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111111111-1-1-1-1-1-11-11-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-11-11-11-1-11-11-11-1111111-1-1-1-1-1-1-1-11111-11-11-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111111111-1-1-1-1-1-11-11-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911-1-11-11-11-1-11-11-11-1111111-1-1-1-1-1-1-1-11111-11-11-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111111111-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1111-1-1-1111-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2011-1-11-11-11-1-11-11-11-1111111-1-1-1-1-1-1-1-11111-11-11-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111111111-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1111-1-1-1111-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2111-1-11-1-11-11-11-1-11-11111111-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-11-11-1-11-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1111iiii−i−i−i−iii−i−i−i−iii−i−iii−iii−ii−i−ii
χ2211-1-11-1-11-11-11-1-11-11111111-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-11-11-1-11-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1111−i−i−i−iiiii−i−iiiii−i−iii−i−ii−i−ii−iii−i
χ2311-1-11-1-11-11-11-1-11-11111111-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1111iiii−i−i−i−iii−i−i−i−iii−i−iiii−i−ii−iii−i
χ2411-1-11-1-11-11-11-1-11-11111111-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1111−i−i−i−iiiii−i−iiiii−i−iii−i−i−iii−ii−i−ii
χ2511-1-1-111-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1111-111-1-11-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1111iiii−i−i−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ2611-1-1-111-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1111-111-1-11-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1111−i−i−i−iiiiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ2711-1-1-111-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1111-111-1-11-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111iiii−i−i−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2811-1-1-111-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1111-111-1-11-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111−i−i−i−iiiiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2911-1-1-11-111-1-1-11-111-1111111-1-1-1-1-1-1-1-1111-11-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1111111111-1-1-1-1-1-11-1-11-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−ii−ii−i−ii−ii
χ3011-1-1-11-111-1-1-11-111-1111111-1-1-1-1-1-1-1-1111-11-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1111111111-1-1-1-1-1-11-1-11-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii−ii−iii−ii−i
χ3111-1-1-11-111-1-1-11-111-1111111-1-1-1-1-1-1-1-1111-11-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1111111111-1-1-1-1-1-1-111-11-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1111111-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i−ii−iii−ii−i
χ3211-1-1-11-111-1-1-11-111-1111111-1-1-1-1-1-1-1-1111-11-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1111111111-1-1-1-1-1-1-111-11-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1111111-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iiii−ii−i−ii−ii
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χ1938-8-8800000000000000−4ζ24−4ζ88−4ζ8−4ζ104−4ζ40−4ζ7242−42−42424ζ24+4ζ88−4ζ24−4ζ884ζ8+4ζ104−4ζ8−4ζ1044ζ40+4ζ72−4ζ40−4ζ724ζ24+4ζ884ζ8+4ζ1044ζ40+4ζ72000000000000000000000000000000000000000000000000−2ζ10+2ζ46−2ζ74+2ζ942ζ10−2ζ46+2ζ74−2ζ942ζ62+2ζ78−2ζ90−2ζ106−2ζ62−2ζ78+2ζ90+2ζ106−2ζ26+2ζ30−2ζ58+2ζ1102ζ26−2ζ30+2ζ58−2ζ1102ζ10−2ζ46+2ζ74−2ζ94−2ζ10+2ζ46−2ζ74+2ζ94−2ζ62−2ζ78+2ζ90+2ζ1062ζ62+2ζ78−2ζ90−2ζ1062ζ26−2ζ30+2ζ58−2ζ110−2ζ26+2ζ30−2ζ58+2ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1948-8-8800000000000000−4ζ24−4ζ88−4ζ8−4ζ104−4ζ40−4ζ72−424242−424ζ24+4ζ88−4ζ24−4ζ884ζ8+4ζ104−4ζ8−4ζ1044ζ40+4ζ72−4ζ40−4ζ724ζ24+4ζ884ζ8+4ζ1044ζ40+4ζ720000000000000000000000000000000000000000000000002ζ10−2ζ46+2ζ74−2ζ94−2ζ10+2ζ46−2ζ74+2ζ94−2ζ62−2ζ78+2ζ90+2ζ1062ζ62+2ζ78−2ζ90−2ζ1062ζ26−2ζ30+2ζ58−2ζ110−2ζ26+2ζ30−2ζ58+2ζ110−2ζ10+2ζ46−2ζ74+2ζ942ζ10−2ζ46+2ζ74−2ζ942ζ62+2ζ78−2ζ90−2ζ106−2ζ62−2ζ78+2ζ90+2ζ106−2ζ26+2ζ30−2ζ58+2ζ1102ζ26−2ζ30+2ζ58−2ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8-8800000000000000−4ζ8−4ζ104−4ζ40−4ζ72−4ζ24−4ζ8842−42−42424ζ8+4ζ104−4ζ8−4ζ1044ζ40+4ζ72−4ζ40−4ζ724ζ24+4ζ88−4ζ24−4ζ884ζ8+4ζ1044ζ40+4ζ724ζ24+4ζ880000000000000000000000000000000000000000000000002ζ62+2ζ78−2ζ90−2ζ106−2ζ62−2ζ78+2ζ90+2ζ106−2ζ26+2ζ30−2ζ58+2ζ1102ζ26−2ζ30+2ζ58−2ζ110−2ζ10+2ζ46−2ζ74+2ζ942ζ10−2ζ46+2ζ74−2ζ94−2ζ62−2ζ78+2ζ90+2ζ1062ζ62+2ζ78−2ζ90−2ζ1062ζ26−2ζ30+2ζ58−2ζ110−2ζ26+2ζ30−2ζ58+2ζ1102ζ10−2ζ46+2ζ74−2ζ94−2ζ10+2ζ46−2ζ74+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1968-8-8800000000000000−4ζ8−4ζ104−4ζ40−4ζ72−4ζ24−4ζ88−424242−424ζ8+4ζ104−4ζ8−4ζ1044ζ40+4ζ72−4ζ40−4ζ724ζ24+4ζ88−4ζ24−4ζ884ζ8+4ζ1044ζ40+4ζ724ζ24+4ζ88000000000000000000000000000000000000000000000000−2ζ62−2ζ78+2ζ90+2ζ1062ζ62+2ζ78−2ζ90−2ζ1062ζ26−2ζ30+2ζ58−2ζ110−2ζ26+2ζ30−2ζ58+2ζ1102ζ10−2ζ46+2ζ74−2ζ94−2ζ10+2ζ46−2ζ74+2ζ942ζ62+2ζ78−2ζ90−2ζ106−2ζ62−2ζ78+2ζ90+2ζ106−2ζ26+2ζ30−2ζ58+2ζ1102ζ26−2ζ30+2ζ58−2ζ110−2ζ10+2ζ46−2ζ74+2ζ942ζ10−2ζ46+2ζ74−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 112 (ζ112 = 1); i = ζ28.