Finite Group Databasebeta

← Group #72322125

Character table — Group #72322125

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178
size1122222222244444444444444444448888888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232326464646464646464646464646464646464646464646464646464646464646464
order12222444488444488888881616161616161616244488888888888816161616161616161616161616161616161616163232323232323232323232323232323288881616161632323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464642222444444448888888888881616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-11-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ10111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ11111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ12111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ13111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ14111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-11-111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ15111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ1711111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-11-11-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1811111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11-11-11111-1-1-1-111−i−iii−i−iii−i−iii−i−iii
χ1911111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ2011111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ2111111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-11-11-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii
χ2211111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11-11-11111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i
χ2311111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ2411111111111-1-1-1-1111-1-1-1-11111111111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ2511111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111iiii−i−i−i−i-1-1-1-1-1-11111iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ2611111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111iiii−i−i−i−i-1-1-1-1-1-11111iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii
χ2711111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111iiii−i−i−i−i-1-1-1-1-1-11111iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111-11-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ2811111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111iiii−i−i−i−i-1-1-1-1-1-11111iiii−i−i−i−i-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-11-11111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ2911111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111−i−i−i−iiiii-1-1-1-1-1-11111−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ3011111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111−i−i−i−iiiii-1-1-1-1-1-11111−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i
χ3111111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111−i−i−i−iiiii-1-1-1-1-1-11111−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111-11-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ3211111111111-1-1-1-1111-1-1-1-111111111-1-111-1-111−i−i−i−iiiii-1-1-1-1-1-11111−i−i−i−iiiii-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-11-11111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ33222222222222222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000000000000000000000000000000000
χ35222222222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000
χ36222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ372222222222222222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−200000000000000000000000000000000
χ382222222222222222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−22200000000000000000000000000000000
χ392222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-20000000000000000-2-2-2-2222200000000000000000000000022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−22200000000000000000000000000000000
χ402222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-20000000000000000-2-2-2-22222000000000000000000000000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−200000000000000000000000000000000
χ412222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000000000000000000022−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−22200000000000000000000000000000000
χ422222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−200000000000000000000000000000000
χ432222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222222222-2-200000000000000002222-2-2-2-200000000000000000000000022−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−200000000000000000000000000000000
χ442222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222222222-2-200000000000000002222-2-2-2-2000000000000000000000000−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−22200000000000000000000000000000000
χ4522222222222-2-2-2-2222-2-2-2-22222222222-2-222-2-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-2-2-2-2-2222222222i2i−2i−2i2i2i−2i−2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000000000
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χ4722222222222-2-2-2-2222-2-2-2-222222222-2-222-2-2222i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-2-2-2-2-222222222−2i−2i2i2i−2i−2i2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.