Finite Group Databasebeta

← Group #72314809

Character table — Group #72314809

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184
size1111111122222222222222222222222222228888888888888888888888888888888888888888888888888888888811111111222222222222222222222222222288888888888888888888888888888888888888888888888888888888
order1222222222222222222244444444444444442222222244444444444444448888888888888888888888888888888822222222222222222222444444444444444422222222444444444444444488888888888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ9111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1
χ10111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111
χ11111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111
χ12111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1
χ13111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111
χ14111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1
χ15111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1
χ16111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111
χ171-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-111-1-111-1-1-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii1-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-111-1-111-1-1-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ201-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-111-1-111-1-1-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i1-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-111-1-111-1-1-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ211-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-1-1-111-1-11111-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii1-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-1-1-111-1-11111-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ221-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-1-1-111-1-11111-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i1-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-1-1-111-1-11111-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ231-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-1-1-111-1-111-1-111-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-1-1-111-1-111-1-111-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ241-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-1-1-111-1-111-1-111-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-1-111-1-11111-1-1-111-1-11-11111-1-1111-1-1-1-1-11-1-1-111-1-111-1-111-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ251-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-1111-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-1111-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ261-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-1111-1-1-1-111ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-1111-1-1-1-111ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ271-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-1111-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-1111-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ281-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-1111-1-1-1-111−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-1111-1-1-1-111−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ291-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1-11111-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1-11111-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ301-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1-11111-1-1ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1-11111-1-1ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ311-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1-11111-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1-11111-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ321-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1-11111-1-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1-11111-1-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ3322222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ35222222222-2-22-2-22-22-2-2-222-2-22-222-22-2-22-2-220000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000222222222-2-22-2-22-22-2-2-222-2-22-222-22-2-22-2-220000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ36222222222-2-22-2-22-22-2-2-222-2-22-222-22-2-22-2-22000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000222222222-2-22-2-22-22-2-2-222-2-22-222-22-2-22-2-22000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ37222222222-2-22-2-22-22-2-2-2-2-222-22-2-22-222-222-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000222222222-2-22-2-22-22-2-2-2-2-222-22-2-22-222-222-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ38222222222-2-22-2-22-22-2-2-2-2-222-22-2-22-222-222-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000222222222-2-22-2-22-22-2-2-2-2-222-22-2-22-222-222-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ3922222222-22-2-22-2-22-2-2-222-22-22-22-2-2-22-2-2222000000000000000000000000000000002-22-22-22-2000000000000000022222222-22-2-22-2-22-2-2-222-22-22-22-2-2-22-2-2222000000000000000000000000000000002-22-22-22-20000000000000000
χ4022222222-22-2-22-2-22-2-2-222-22-22-22-2-2-22-2-222200000000000000000000000000000000-22-22-22-22000000000000000022222222-22-2-22-2-22-2-2-222-22-22-22-2-2-22-2-222200000000000000000000000000000000-22-22-22-220000000000000000
χ4122222222-22-2-22-2-22-2-2-22-22-22-22-2222-222-2-2-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000022222222-22-2-22-2-22-2-2-22-22-22-22-2222-222-2-2-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ4222222222-22-2-22-2-22-2-2-22-22-22-22-2222-222-2-2-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000022222222-22-2-22-2-22-2-2-22-22-22-22-2222-222-2-2-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ4322222222-2-22-2-22-2-2-222-22-2-22222-22-2-22-2-2-2200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000022222222-2-22-2-22-2-2-222-22-2-22222-22-2-22-2-2-2200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ4422222222-2-22-2-22-2-2-222-22-2-22222-22-2-22-2-2-220000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000022222222-2-22-2-22-2-2-222-22-2-22222-22-2-22-2-2-220000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
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χ1742-2-2-2-2222-22-22-222-2-2-2222-22-2-22-222-22-22-2-2200000000000000000000000000000000-222-22-2-220000000000000000-22222-2-2-22-22-22-2-2222-2-2-22-222-22-2-22-22-222-2000000000000000000000000000000002-2-22-222-20000000000000000
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χ1782-2-2-2-2222-2-2222-222-22-2-22-2-22-2-2-22-2-2-2222220000000000000000000000000000000000000000-222-22-2-2200000000-22222-2-2-222-2-2-22-2-22-222-222-2222-2222-2-2-2-2-200000000000000000000000000000000000000002-2-22-222-200000000
χ1792-2-2-2-2222-2-2222-222-22-2-2-222-2222-2222-2-2-2-2-22-2-22-222-2000000000000000000000000000000000000000000000000-22222-2-2-222-2-2-22-2-22-2222-2-22-2-2-22-2-2-222222-222-22-2-22000000000000000000000000000000000000000000000000
χ1802-2-2-2-2222-2-2222-222-22-2-2-222-2222-2222-2-2-2-2-2-222-22-2-22000000000000000000000000000000000000000000000000-22222-2-2-222-2-2-22-2-22-2222-2-22-2-2-22-2-2-2222222-2-22-222-2000000000000000000000000000000000000000000000000
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χ1838-888-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000-88-8-888-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1848-88-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000-88-88-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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