Finite Group Databasebeta

← Group #72271493

Character table — Group #72271493

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444448888888812121212121212121616161616161616161616161616161616161616242424242424242424242424242424242424242448484848
order1222444422222222223444444444466666661212121212121212222222222244444444446666666666666666666666666666121212121212121212121212121212121212121212121212121212128888888822224444888824242424242424242424242424242424224444444444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1
χ91111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ111111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ121111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1
χ131111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ141111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1
χ151111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ161111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ171111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-111-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ181111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-111-1-111i−ii−iii−i−iii−i−iii−i−iii−i−i-11-11-1-111-1-111−i−iii−i−iii−ii−ii
χ191111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ201111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-1-111-1-111−ii−ii−i−iii−i−iii−i−iii−i−iii-11-11-1-111-1-111ii−i−iii−i−ii−ii−i
χ211111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i11-1-111-1-1−ii−iiii−i−iii−i−i−i−iii−i−iii1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ221111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i-1-111-1-111−ii−iiii−i−iii−i−i−i−iii−i−iii-11-1111-1-111-1-1−i−iii−i−iiii−ii−i
χ231111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iii11-1-111-1-1i−ii−i−i−iii−i−iiiii−i−iii−i−i1-11-1-1-111-1-111−i−iii−i−iiii−ii−i
χ241111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iii-1-111-1-111i−ii−i−i−iii−i−iiiii−i−iii−i−i-11-1111-1-111-1-1ii−i−iii−i−i−ii−ii
χ251111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii11-1-111-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iii-11-1111-1-1-1-111ii−i−i−i−iiii−i−ii
χ261111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1-111-1-111i−i−iiii−i−i−i−iiiii−i−i−i−iii1-11-1-1-11111-1-1−i−iiiii−i−i−iii−i
χ271111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i11-1-111-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-1111-1-1-1-111−i−iiiii−i−i−iii−i
χ281111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1-111-1-111−iii−i−i−iiiii−i−i−i−iiiii−i−i1-11-1-1-11111-1-1ii−i−i−i−iiii−i−ii
χ291111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii11-1-111-1-1−iii−iii−i−i−i−iii−i−iiiii−i−i-11-11-1-11111-1-1ii−i−i−i−iii−iii−i
χ301111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-111-1-111−iii−iii−i−i−i−iii−i−iiiii−i−i1-11-111-1-1-1-111−i−iiiii−i−ii−i−ii
χ311111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i11-1-111-1-1i−i−ii−i−iiiii−i−iii−i−i−i−iii-11-11-1-11111-1-1−i−iiiii−i−ii−i−ii
χ321111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-111-1-111i−i−ii−i−iiiii−i−iii−i−i−i−iii1-11-111-1-1-1-111ii−i−i−i−iii−iii−i
χ33222222222222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34222222222222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-2-2-2-21111111111111111000000000000000000000000
χ35222222222222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222222200000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ36222222222222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-200000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222222-2-2-2-22-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111112222-2-2-2-20000000022-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ382222222222222-2-2-2-22-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-2-2-2222200000000-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ392222222222222-2-2-2-22-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-2-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-12222-2-2-2-200000000-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ402222222222222-2-2-2-22-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-2-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-2-2-222220000000022-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ412222222222-2-2-222-2-2-22-2-222-2-222-2-22222222222222222-2000000002-200000000-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-200000000000000002-22-22-22-20000000000002-22-22-22-200000000000000000000000000000000
χ422222222222-2-2-222-2-2-22-2-222-2-222-2-22222222222222222-2000000002-200000000-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-20000000000000000-22-22-22-22000000000000-22-22-22-2200000000000000000000000000000000
χ432222222222-2-2-222-2-2-2-1-2-222-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2000000002-2000000001111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i31111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-22-22-22-2000000000000-11-11-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.