Finite Group Databasebeta

← Group #72226924

Character table — Group #72226924

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190
size112222222222244444444444444444444444444444444888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464128128128128128128128128
order1222244448888448888888888888816161616161616161616161616161616488881616161616161616323232323232323232323232323232323232323232323232222222444444161616161616161616161616161616163232323232323232323232323232323232323232448888888816161616161616161616161632323232323232323232323232323232323232323232323216163232323222244488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ611111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1
χ711111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-111
χ91111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ101111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ121111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ131111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ141111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111
χ151111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ161111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1
χ1711-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-11-11-11-11-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-11-11-1i−i11-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1i−iii−i−i1-11-1i−ii−i
χ1811-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11-11-1-111-11-1-11iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii-111-11-1−ii-1-11111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−ii−i−iii-11-11−ii−ii
χ1911-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-11-111-1-11-111-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-1-11-11i−i11-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1i−iii−i−i-11-11−ii−ii
χ2011-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-11-11-11-11-11-11iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii-11-11-11−ii-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−ii−i−iii1-11-1i−ii−i
χ2111-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111-1-111-11-1-111-1−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-11111i−i1-11-1-11i−i11-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111i−i−i−iii1-1-11−iii−i
χ2211-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111-1-11-111-1-11-11−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-11111−ii-111-1-11−ii-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−iiii−i−i-111-1i−i−ii
χ2311-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-111-11-1-111-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-11111i−i1-1-111-1i−i11-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111i−i−i−iii-111-1i−i−ii
χ2411-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-111-1-11-111-1-11−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-11111−ii-11-111-1−ii-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−iiii−i−i1-1-11−iii−i
χ2511-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-11-11-11-11-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-11-11-1−ii11-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−ii−i−iii1-11-1−ii−ii
χ2611-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11-11-1-111-11-1-11−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1i−i-111-11-1i−i-1-11111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111i−iii−i−i-11-11i−ii−i
χ2711-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-11-111-1-11-111-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-1-11-11−ii11-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−ii−i−iii-11-11i−ii−i
χ2811-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-11-11-11-11-11-11−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1i−i-11-11-11i−i-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111i−iii−i−i1-11-1−ii−ii
χ2911-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111-1-111-11-1-111-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−ii1-11-1-11−ii11-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−iiii−i−i1-1-11i−i−ii
χ3011-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111-1-11-111-1-11-11iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111i−i-111-1-11i−i-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1i−i−i−iii-111-1−iii−i
χ3111-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-111-11-1-111-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−ii1-1-111-1−ii11-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−iiii−i−i-111-1−iii−i
χ3211-11-1-111-1111111-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-111-1-11-111-1-11iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111i−i-11-111-1i−i-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1i−i−i−iii1-1-11i−i−ii
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χ34222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2222222-2-2-2-22-2-2-2-2-2-22222-2-2000000000000000022222222-2-2-2-200-2-2-2-2000000000000000000222200000000-2-2-2-2-2-2-2-20000-2-2-2-20000002222222200000000000000000000000000000000000000
χ35222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2222222-2-2-2-22-2-2-2-2-2-22222-2-20000000000000000-2-2-2-2-2-2-2-222-2-20022-2-2000000000000000000-2-2-2-20000000022222222000022-2-2000000-2-2-2-2222200000000000000000000000000000000000000
χ36222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2222222-2-2-2-22-2-2-2-2-2-22222-2-20000000000000000-2-2-2-2-2-2-2-2-2-22200-2-222000000000000000000-2-2-2-200000000222222220000-2-2220000002222-2-2-2-200000000000000000000000000000000000000
χ37222222222222222222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-2-2-222222-2-2-2-222-2-2-2-22222222222222222220000000000002200002200000000000000000000-2-2-2-2-2-2-2-2000000002222000022-2-2-2-200000000000000000000000000000000-2-2000000000000
χ38222222222222222222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-2-2-222222-2-2-2-222-2-2-2-2222222222222222222000000000000-2-20000-2-200000000000000000000-2-2-2-2-2-2-2-200000000-2-2-2-20000-2-222220000000000000000000000000000000022000000000000
χ39222222222222222222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-2-2-222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022000022000000000000000000002222222200000000-2-2220000-2-2-2-2-2-20000000000000000000000000000000022000000000000
χ40222222222222222222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-2-2-222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-20000-2-200000000000000000000222222220000000022-2-2000022222200000000000000000000000000000000-2-2000000000000
χ4122222222222-2-2-2-22-2-2000000002-222200002222220000-2000000-2-2-2-2002222−2−2−2−22222−2−2−2−2222222222222002222002222−2−2−2−22222−2−2−2−2-2-2-2-222−2−222−2−2000000000000-2-2-2-20000000000000022−2−222−2−222−2−222−2−20000000000000000000000
χ4222222222222-2-2-2-22-2-2000000002-222200002222220000-2000000-2-2-2-2002222−2−2−2−22222−2−2−2−222222222-2-2-2-200-2-2-2-2002222−2−2−2−22222−2−2−2−2-2-2-2-222−2−222−2−2000000000000222200000000000000−2−222−2−222−2−222−2−2220000000000000000000000
χ4322222222222-2-2-2-22-2-2000000002-222200002222220000-2000000-2-2-2-2002222−2−2−2−22222−2−2−2−2-2-2-2-2-2-2-2-222-2-20022-2-200−2−2−2−22222−2−2−2−22222222222−2−222−2−2000000000000-2-2220000000000000022−2−222−2−2−2−222−2−2220000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.