Finite Group Databasebeta

← Group #14327713

Character table — Group #14327713

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444446666666666666666666688888888888888888888888810101010101010101010101012121212121212121212121212121212121212121212121212121212121220202020202020202020202020202020202030303030606060606060
order122222223444444444444556666666101010101010101010101010101012121212121212121212121215152020202020202020202020202020202020202020202020203030303030303030303030303030444420202020202020202020202020202020606060606060606060606060606060606060606060606060444412121212121212122244441010101010101010202020202020202020202020202020204444441212121212121212121212124444224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ61111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111
χ71111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ81111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-111111111-1-111-1-1
χ9111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ10111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ11111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ12111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111
χ13111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111
χ15111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ16111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-111111111111111-1-1-1-1
χ171-1-111-11-11ii−i−iii−i−i11-1-111-1-11-111-11111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-11-1i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−i11-1-1ii−i−iii−i−i11-1-11-1i−ii−i
χ181-1-111-11-11ii−i−iii−i−i11-1-111-1-11-111-11111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-111111-1i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−ii-1-111−i−iii−i−iii-1-111-11−ii−ii
χ191-1-111-11-11ii−i−iii−i−i11-1-111-1-11-111-11111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1-11−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-1i−ii−i11-1-1ii−i−iii−i−i-1-111-11−ii−ii
χ201-1-111-11-11ii−i−iii−i−i11-1-111-1-11-111-11111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111-11−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11−ii−ii-1-111−i−iii−i−iii11-1-11-1i−ii−i
χ211-1-111-11-11ii−i−i−i−iii-1-11111-1-11-111-11111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-11111-1-1-1-1-11i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11i−i−ii-1-111ii−i−i−i−iii11-1-1-11i−i−ii
χ221-1-111-11-11ii−i−i−i−iii-1-11111-1-11-111-11111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-11111-11i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i11-1-1−i−iiiii−i−i-1-1111-1−iii−i
χ231-1-111-11-11ii−i−i−i−iii-1-11111-1-11-111-11111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-11111-1-1-1-11-1−iii−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii-1-111ii−i−i−i−iii-1-1111-1−iii−i
χ241-1-111-11-11ii−i−i−i−iii-1-11111-1-11-111-11111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-111111-1−iii−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i11-1-1−i−iiiii−i−i11-1-1-11i−i−ii
χ251-1-111-11-11−i−iiiii−i−i-1-11111-1-11-111-11111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-11111-1-1-1-1-11−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i-1-111−i−iiiii−i−i11-1-1-11−iii−i
χ261-1-111-11-11−i−iiiii−i−i-1-11111-1-11-111-11111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-11111-11−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii11-1-1ii−i−i−i−iii-1-1111-1i−i−ii
χ271-1-111-11-11−i−iiiii−i−i-1-11111-1-11-111-11111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-11111-1-1-1-11-1i−i−ii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11−iii−i-1-111−i−iiiii−i−i-1-1111-1i−i−ii
χ281-1-111-11-11−i−iiiii−i−i-1-11111-1-11-111-11111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-111111-1i−i−ii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii11-1-1ii−i−i−i−iii11-1-1-11−iii−i
χ291-1-111-11-11−i−iii−i−iii11-1-111-1-11-111-11111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-11-1−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii11-1-1−i−iii−i−iii11-1-11-1−ii−ii
χ301-1-111-11-11−i−iii−i−iii11-1-111-1-11-111-11111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-111111-1−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i-1-111ii−i−iii−i−i-1-111-11i−ii−i
χ311-1-111-11-11−i−iii−i−iii11-1-111-1-11-111-11111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1-11i−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-1−ii−ii11-1-1−i−iii−i−iii-1-111-11i−ii−i
χ321-1-111-11-11−i−iii−i−iii11-1-111-1-11-111-11111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111-11i−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11i−ii−i-1-111ii−i−iii−i−i11-1-11-1−ii−ii
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χ20688-88-8-8-88-4000000000000−2+25−2−25-4-444-444−2+252−25−2−252+25−2+252−25−2−252+252−252+252−252+25−2+25−2−250000000000001−51+50000000000000000000000001−5−1+51+5−1−51−51−5−1+51+51+5−1−5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2078-888-88-8-8-4000000000000−2−25−2+25444-4-44-4−2−252+25−2+252−252+25−2−252−25−2+25−2−25−2+252+252−252+252−250000000000001+51−50000000000000000000000001+5−1−51−5−1+5−1−5−1−51+5−1+5−1+51−5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2088-888-88-8-8-4000000000000−2+25−2−25444-4-44-4−2+252−25−2−252+252−25−2+252+25−2−25−2+25−2−252−252+252−252+250000000000001−51+50000000000000000000000001−5−1+51+5−1−5−1+5−1+51−5−1−5−1−51+5−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2098-8-8-888-88-4000000000000−2−25−2+254-4444-4-42+25−2−252−25−2+252+25−2−252−25−2+252+252−252+252−25−2−25−2+250000000000001+51−5000000000000000000000000−1−51+5−1+51−5−1−51+51+5−1+51−51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2108-8-8-888-88-4000000000000−2+25−2−254-4444-4-42−25−2+252+25−2−252−25−2+252+25−2−252−252+252−252+25−2+25−2−250000000000001−51+5000000000000000000000000−1+51−5−1−51+5−1+51−51−5−1−51+51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.