Finite Group Databasebeta

← Group #72271088

Character table — Group #72271088

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888881212121212121212121212121212121224242424242424244848484848484848
order1222444422222222223444444444466612121212222244444444666666666666661212121212121212121212121212121212121212121222222444444444444444666666666666121212121212121212121212121212121212121212121212121212121212121222222222444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-11111111111111-1-1-1-11111111-1-1111111-1-111111111-1-1-1-1111111111111111111-1-1-1-11111-11-11-1-1-111-1-111-1-1-11-11-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-11111111111111-1-1-1-11111111-1-1111111-1-111111111-1-1-1-1111111111111111111-1-1-1-11111-11-11-1-1-111-1-111-1-1-11-11-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-11111111111111-1-1-1-11111111-1-1111111-1-111111111-1-1-1-1111111111111111111-1-1-1-11111-1-11-11-1-1-1-111-1-111-1-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-11111111111111-1-1-1-11111111-1-1111111-1-111111111-1-1-1-1111111111111111111-1-1-1-11111-1-11-11-1-1-1-111-1-111-1-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111-1-1-1-11111-1-11-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111-1-1-1-11111-1-11-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-111-1-11111-1-11-111-1-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-111-1-11111-1-11-111-1-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-11-11-11-1-1-11-11111111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-11-11-11-1-1-11-11111111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-11-11-11-11
χ191111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-11-11-11-11-11111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11-11-11-11
χ201111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-11-11-11-11-11111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-11-11-1
χ211111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11-111-11-1-11-111-111-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-11-11
χ221111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11-111-11-1-11-111-111-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-111-11-1
χ231111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11-111-11-111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-111-11-1
χ241111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11-111-11-111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11-11-1-11-11
χ251111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-111-1-111-1
χ271111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1
χ281111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-111-1-11
χ291111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111-1-11-11-1-11-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-111-1
χ301111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111-1-11-11-1-11-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-11-1-11
χ311111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1111-1-111-11-1-11-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-11-1-11
χ321111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1111-1-111-11-1-11-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-11-111-1
χ33222222222222222222-12222222222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ34222222222222222222-12222222222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-222-2-2-2-2-2-2-2-22-2-2-2-2-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11111111100000000000000000000000000000000
χ35222222222222222222-12222222222-1-1-1-1-1-1-122-2-2-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-222-2-2-2-22222-2-2-2-2-222-2-2-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111100000000000000000000000000000000
χ36222222222222222222-12222222222-1-1-1-1-1-1-122-2-2-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-2-2-222-2-2-2-2-2-22222-2-2-222-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-100000000000000000000000000000000
χ3722222222222222-2-2-2-2222-2-2-2-222222222222-2-222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-22222222220000-2-20000000020000-2-22200000000-2-2-2-20000000000000000-2-2220000000000000000000000000000000000000000
χ3822222222222222-2-2-2-2222-2-2-2-222222222222-2-2-2-22222-2-2-2-222-2-2-2-22222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-200002200000000-20000-2-2-2-20000000022220000000000000000-2-2-2-20000000000000000000000000000000000000000
χ3922222222222222-2-2-2-2-122-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-222-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-120000-2-2000000002000011-1-1−i3i3−i3i3−i3i3−i3i31111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i311-1-1−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ4022222222222222-2-2-2-2-122-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-222-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-120000-2-2000000002000011-1-1i3−i3i3−i3i3−i3i3−i31111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i311-1-1i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ4122222222222222-2-2-2-2-122-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-200002200000000-200001111−i3i3−i3i3i3−i3i3−i3-1-1-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i31111−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ4222222222222222-2-2-2-2-122-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-200002200000000-200001111i3−i3i3−i3−i3i3−i3i3-1-1-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i31111i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).