Finite Group Databasebeta

← Group #72337601

Character table — Group #72337601

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194
size112224444444444444444888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464128128128128128128128128128128128128128128128128256256256256256256256256
order12222222222222222222222222222222222222222222442222222222222222222222222244444444444444444444422222244444444444444444444444444444444444444444444444444444444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1111111111111111111111-11111-1-11-1-1-11111111111111111-11-111-1-11-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ6111111111111111111111111111111111111111111-1-1111111111111111111111-11111-1-11-1-1-11111111111111111-11-111-1-11-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ7111111111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii
χ8111111111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ91111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ101111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ121111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ131111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111111111111111-11-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ141111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111111111111111-11-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ151111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i
χ161111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii
χ1711111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-11-11-1-1-11-11-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-111-1-111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ1811111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-11-11-1-1-11-11-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-111-1-111-1-111-1-11-11-1-1-1-1-11111-1-1-1-11111-11-11-11-11
χ1911111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1111111-1-1-1-1-1-11-1-111111111-1-111-1-1-1-1-1-1-1-111111-1-1-11-11-1-1-11-11-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-111111-11-1-11-11
χ2011111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1111111-1-1-1-1-1-11-1-111111111-1-111-1-1-1-1-1-1-1-111111-1-1-11-11-1-1-11-11-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-1-1-111-1-1111-1-11-1-1-1-111111111-1-1-1-1-11-111-11-1
χ2111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1111111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-11-11ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2211111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-1111111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-11-11−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-1-11-111-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11111-1-111-1-1-111-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ2411111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-1-11-111-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11111-1-111-1-1-111-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ2511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-11111-1-1-1-111-11-111111-1-1-1-11111-1-1-1-1-11-11-11-11
χ2611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-1-11111-1-1-1-111-11-11-1-1-1-11111-1-1-1-111111-11-11-11-1
χ2711111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-111111111-1-111-1-1-1-1-1-1-1-111111-1-11-1-11-1-11-1-11-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-11-1-1-111-1-11111-1-1-111-11111-1-1-1-1-1-1-1-11111-11-111-11-1
χ2811111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-111111111-1-111-1-1-1-1-1-1-1-111111-1-11-1-11-1-11-1-11-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-11-1-1-111-1-11111-1-1-111-1-1-1-1-111111111-1-1-1-11-11-1-11-11
χ2911111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111111-111-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11-11-11-11-11111111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-1-11111-1-11-11-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ3011111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111111-111-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11-11-11-11-11111111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-1-11111-1-11-11-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ3111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1-111-11-111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111-1-11ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1-111-11-111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111-1-11−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222222222222222-2-2-2-20000000022222-2-2-2-2-2-20000000000002222222222222222222222222222-220022-220022-2-2-2-22200002222000000000000-2-2-2-2-2-2-2-200000000-2-2-2-2-2000000-2-2-2-200000000000000000000000000000000
χ34222222222222222222222222222222-2-2-2-20000000022222-2-2-2-2-2-20000000000002-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-22-2200-2-2-2200-2-2-2-2-2-2220000-2-2-2-20000000000002222222200000000-2-2-2-2-2000000222200000000000000000000000000000000
χ35222222222222222222222222222222-2-2-2-200000000-2-2222-2-2-2-2-2-2000000000000-22222-2-22-2-2-22222222222222222-2-2-200-2-2-2-200-2-222-2-2-2-20000-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000022222000000222200000000000000000000000000000000
χ36222222222222222222222222222222-2-2-2-200000000-2-2222-2-2-2-2-2-2000000000000-2-2-2-2-2-2-22-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-20022-2-2002222-2-2-2-200002222000000000000222222220000000022222000000-2-2-2-200000000000000000000000000000000
χ372222222222222222222222-2-222222222222222222222-2-2-2222222222222222222-200002-2-222-20000-2-2-2-200000000-2-220000-22000022-2-2-2-2000000002222-2-2-2-2-2-2-2-20000000000000000-2-222-200-2-2-2-2000000002200000000000000000000000000
χ382222222222222222222222-2-2222222222222222222-2-2-2-2-222222222222222222220000-22-2-2-220000-2-2-2-2000000002-2-20000-2-20000-2-2-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-2200222200000000-2-200000000000000000000000000
χ392222222222222222222222-2-22222222222-2-2-2-2-2-2-2-222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-200002-2-222-20000-2-2-2-200000000-2-220000-22000022-2-2-2-200000000-2-2-2-2222222220000000000000000-2-222-200222200000000-2-200000000000000000000000000
χ402222222222222222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-220000-22-2-2-220000-2-2-2-2000000002-2-20000-2-20000-2-2-2-22200000000222222222222000000000000000022-2-2200-2-2-2-2000000002200000000000000000000000000
χ412222222222222222222222-2-2222222-2-2-2-20000000022-2-2-2-2-2-2-2-2-2000000000000-200002-2-222-20000-2-2-2-200000000-2222200222200-2-222-2-22222000000000000000000000000-2-2-2-2-2-2-2-222-2-222200000000-2-2-2-20022000000000000000000000000
χ422222222222222222222222-2-2222222-2-2-2-20000000022-2-2-2-2-2-2-2-2-2000000000000-200002-2-222-20000-2-2-2-200000000-222-2-20022-2-200-2-222-2-2-2-2-2-20000000000000000000000002222222222-2-22-2-200000000222200-2-2000000000000000000000000
χ432222222222222222222222-2-2222222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-200000000000020000-22-2-2-220000-2-2-2-20000000022-222002-222002222222222000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-2-200000000222200-2-2000000000000000000000000
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Here i is the imaginary unit (i² = −1).