Finite Group Databasebeta

← Group #72258184

Character table — Group #72258184

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size11111111111111111111111111111111222222222222222244444444444444448888888888888888888888888888888888888888888888888888888888888888888888888888888816161616161616161616161616161616
order1222222222222222222222222222222244444444444444444444444444444444222222222222222244444444444444444444444444444444444444444444444444444444444444442222444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ10111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ11111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111
χ12111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ13111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ14111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1
χ15111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ16111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ1811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ1911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1
χ2011111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ2211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ2311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-111-1-111-1-111
χ2411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-11111-1-111-1-111-1-1
χ2511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ2611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ2711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ2811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ2911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ3011111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ3211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ332222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ342222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ352222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ362222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ372222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ382222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ392222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-2000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ402222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ412222222-2-2-2-2-2-22-22222222-2-2-2-2-2-22-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000022-2-2000022-2-222-2-22i2i−2i−2i000000000000000000000000000000000000000000002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ422222222-2-2-2-2-2-22-22222222-2-2-2-2-2-22-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000022-2-20000-2-222-2-222−2i−2i2i2i000000000000000000000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ432222222-2-2-2-2-2-22-22222222-2-2-2-2-2-22-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000-2-222000022-2-2-2-222−2i−2i2i2i00000000000000000000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ442222222-2-2-2-2-2-22-22222222-2-2-2-2-2-22-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000-2-2220000-2-22222-2-22i2i−2i−2i00000000000000000000000000000000000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ452222222-2-2-2-2-2-22-22222222-2-2-2-2-2-22-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000022-2-2000022-2-222-2-2−2i−2i2i2i00000000000000000000000000000000000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ462222222-2-2-2-2-2-22-22222222-2-2-2-2-2-22-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000022-2-20000-2-222-2-2222i2i−2i−2i00000000000000000000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ472222222-2-2-2-2-2-22-22222222-2-2-2-2-2-22-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000-2-222000022-2-2-2-2222i2i−2i−2i000000000000000000000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ482222222-2-2-2-2-2-22-22222222-2-2-2-2-2-22-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000-2-2220000-2-22222-2-2−2i−2i2i2i000000000000000000000000000000000000000000002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ49222-2-2-2-22222-2-22-2222-2-2-2-22222-2-22-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000022-2-2000000002-22-20000000022-2-22i2i−2i−2i000000000000000000000000000000002i2i−2i−2i000000002i−2i2i−2i0000000000000000
χ50222-2-2-2-22222-2-22-2222-2-2-2-22222-2-22-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000022-2-200000000-22-2200000000-2-222−2i−2i2i2i000000000000000000000000000000002i2i−2i−2i00000000−2i2i−2i2i0000000000000000
χ51222-2-2-2-22222-2-22-2222-2-2-2-22222-2-22-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2-222000000002-22-200000000-2-222−2i−2i2i2i00000000000000000000000000000000−2i−2i2i2i000000002i−2i2i−2i0000000000000000
χ52222-2-2-2-22222-2-22-2222-2-2-2-22222-2-22-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2-22200000000-22-220000000022-2-22i2i−2i−2i00000000000000000000000000000000−2i−2i2i2i00000000−2i2i−2i2i0000000000000000
χ53222-2-2-2-22222-2-22-2222-2-2-2-22222-2-22-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000022-2-2000000002-22-20000000022-2-2−2i−2i2i2i00000000000000000000000000000000−2i−2i2i2i00000000−2i2i−2i2i0000000000000000
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χ1474-444-4-44-444-4-44-4-4-44-44-4-44-444-44-4444-400000000000000000000000000000000000000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ1484-444-4-44-444-4-44-4-4-44-44-4-44-444-44-4444-40000000000000000000000000000000000000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000
χ1494-44-444-44-4-44-4444-4-444-4-44-444-4-44-4-44-400000000000000000000000000000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ1504-44-444-44-4-44-4444-4-444-4-44-444-4-44-4-44-40000000000000000000000000000000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ1514-44-444-44-4-44-44-4-4-44-4-444-44-4-444-4444-400000000000000000000000000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ1524-44-444-44-4-44-44-4-4-44-4-444-44-4-444-4444-40000000000000000000000000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ1534-44-444-4-444-44-44-4-4-444-4-444-4-444-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004-4-4400000000000000000000000000000000
χ1544-44-444-4-444-44-44-4-4-444-4-444-4-444-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-444-400000000000000000000000000000000
χ1554-44-444-4-444-44-4-44-44-4-444-4-444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000
χ1564-44-444-4-444-44-4-44-44-4-444-4-444-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000
χ1574-4-444-4-444-4-4444-44-4-4-4-444-4-444444-4-4-44i−4i4i−4i4i−4i4i−4i−4i4i−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1584-4-444-4-444-4-4444-44-4-4-4-444-4-444444-4-4-4−4i4i−4i4i−4i4i−4i4i4i−4i4i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1594-4-4-4-444-4-444444-44-4-444-4-444-4-4444-4-4-44i−4i−4i4i−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1604-4-4-4-444-4-444444-44-4-444-4-444-4-4444-4-4-4−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).