Finite Group Databasebeta

← Group #13153895

Character table — Group #13153895

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182
size11111111111122222222222222222222222222222222222222222266666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818
order1222336666662244444444444466661212121212121212121212121212121212121212121212123333666666666666121212121212121212121212121212126666666612121212121212121212121212121212121212121212121212121212121212121212121212121212222244444444444466666666121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ611111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ711111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ9111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ10111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ11111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ12111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ13111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ14111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ15111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ16111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ171-11-111-1-111-1-11-1i−ii−i1-11-1i−ii−i11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-11-11-1i−ii−ii−ii−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ181-11-111-1-111-1-11-1i−ii−i1-11-1i−ii−i11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11-11-11−ii−ii−ii−ii-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ191-11-111-1-111-1-11-1i−i−ii-11-11i−i−ii11-1-1ii−i−i−i−iii-1-111-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111-1-111-1-11i−ii−i−ii−ii11-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ201-11-111-1-111-1-11-1i−i−ii-11-11i−i−ii11-1-1ii−i−i−i−iii-1-111-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-111-1-111-1−ii−iii−ii−i-1-11111-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i
χ211-11-111-1-111-1-11-1−iii−i-11-11−iii−i11-1-1−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111-1-111-1-11−ii−iii−ii−i11-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ221-11-111-1-111-1-11-1−iii−i-11-11−iii−i11-1-1−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-111-1-111-1i−ii−i−ii−ii-1-11111-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii
χ231-11-111-1-111-1-11-1−ii−ii1-11-1−ii−ii11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-11-11-1−ii−ii−ii−ii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ241-11-111-1-111-1-11-1−ii−ii1-11-1−ii−ii11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11-11-11i−ii−ii−ii−i-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ251-11-111-1-111-1-1-11i−ii−i1-1-11−ii−ii-1-111ii−i−iii−i−i11-1-1-1-111−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-11-111-1i−i−iii−i−ii11-1-1-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ261-11-111-1-111-1-1-11i−ii−i1-1-11−ii−ii-1-111ii−i−iii−i−i11-1-1-1-111−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-11-1-11−iii−i−iii−i-1-11111-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ271-11-111-1-111-1-1-11i−i−ii-111-1−iii−i-1-111ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-11-1-11-11i−i−ii−iii−i11-1-111-1-1-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i
χ281-11-111-1-111-1-1-11i−i−ii-111-1−iii−i-1-111ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11-111-11-1−iii−ii−i−ii-1-111-1-11111-1-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ291-11-111-1-111-1-1-11−iii−i-111-1i−i−ii-1-111−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-1-11-11−iii−ii−i−ii11-1-111-1-1-1-111-1-111−i−iiiii−i−iii−i−i−i−iii
χ301-11-111-1-111-1-1-11−iii−i-111-1i−i−ii-1-111−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-111-11-1i−i−ii−iii−i-1-111-1-11111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ311-11-111-1-111-1-1-11−ii−ii1-1-11i−ii−i-1-111−i−iii−i−iii11-1-1-1-111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1-11-111-1−iii−i−iii−i11-1-1-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ321-11-111-1-111-1-1-11−ii−ii1-1-11i−ii−i-1-111−i−iii−i−iii11-1-1-1-111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-11-1-11i−i−iii−i−ii-1-11111-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ332222222222222222222222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000000000000000000000000000000000000000000
χ34222222222222222222222222222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000000000000000000000000000000000000000000000
χ35222222222222222222222222222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1000000000000000000000000000000000000000000000000
χ36222222222222222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-2111-2111-2111000000000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-2111-2111-211000000000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-111-2111-2111-2111-2111-2111-21000000000000000000000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-2111-2111-2000000000000000000000000000000000000000000000000
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χ1583-33-3−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i32-33−3i3i3i−3i-333-33i−3i−3i3i3−3i323+3i32−3+3i32−3−3i32−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ113−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000-11-111-11-1i−i−ii−iii−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ1593-33-3−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i32-33−3i3i−3i3i3-3-333i−3i3i−3i3−3i323+3i32−3+3i32−3−3i32−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i323ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000001-1-11-111-1−iii−i−iii−i−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ1603-33-3−3+3i32−3−3i323−3i323+3i32−3+3i32−3−3i323−3i323+3i32-33−3i3i−3i3i3-3-333i−3i3i−3i3−3i323+3i32−3+3i32−3−3i32−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i323ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000-111-11-1-11i−i−iii−i−ii1−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
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χ1791212-12-12−6−6i3−6+6i3−6−6i3−6+6i36+6i36−6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ18212-12-1212−6+6i3−6−6i36−6i36+6i36−6i36+6i3−6+6i3−6−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.