Finite Group Databasebeta

← Group #14329484

Character table — Group #14329484

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444446666666666666666666666666666888888888888888888888888888810101010121212121212121212121212121212121212121212121212121220202020202020202020202020203030303040404040606060606060
order12222222344445566666661010101010101010101010101010222210101010101010101010101010101010121212121515202020202020202030303030303030303030303030304444444444442020202020202020202020202020202066663030303030303030303030303030303060606060606060604444442020202020202020202020202020202020202020202020204444441212121212121212444412121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111
χ11111111111-1-1-1-11111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ12111111111-1-1-1-11111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-11111-1-1-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ171-11-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111ii−i−iii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−ii−iii−i−iii−i−i11-1-1i−ii−i1-11-11-1
χ181-11-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111ii−i−iii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−i−iii−i−iii-1-111−ii−ii-11-11-11
χ191-11-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−iii−i−iii−i−i-1-111i−ii−i-11-11-11
χ201-11-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−i−iii−i−iii11-1-1−ii−ii1-11-11-1
χ211-11-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−ii−i−ii−iiii−i−iii−i−i-1-111−ii−ii1-11-1-11
χ221-11-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii−ii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−iii−ii−i−i−iii−i−iii11-1-1i−ii−i-11-111-1
χ231-11-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111−i−iii−i−iiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−ii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−i−ii−iiii−i−iii−i−i11-1-1−ii−ii-11-111-1
χ241-11-1-1-111111-1-11111-11-1-1-11111-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111−i−iii−i−iiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiii−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−iii−ii−i−i−iii−i−iii-1-111i−ii−i1-11-1-11
χ251-11-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111ii−i−i−i−iiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−ii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−iii−i−iiii−i−i−i−iii11-1-1i−i−ii1-1-11-11
χ261-11-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111ii−i−i−i−iiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−ii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−i−iiiii−i−i-1-111−iii−i-111-11-1
χ271-11-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−ii−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iiii−i−i−i−iii-1-111i−i−ii-111-11-1
χ281-11-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiii−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−i−iiiii−i−i11-1-1−iii−i1-1-11-11
χ291-11-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111ii−i−i−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−ii−iii−iii−i−i−i−iii-1-111−iii−i1-1-111-1
χ301-11-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111ii−i−i−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiii−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiii−ii−i−ii−i−iiiii−i−i11-1-1i−i−ii-111-1-11
χ311-11-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111−i−iiiii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−ii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−ii−iii−iii−i−i−i−iii11-1-1−iii−i-111-1-11
χ321-11-1-1-1111-1-1111111-11-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111−i−iiiii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii−ii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−ii−ii−i−ii−i−iiiii−i−i-1-111i−i−ii1-1-111-1
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χ19288-88-8-88-8-40000−2+25−2−25-44-44-444−2+252−25−2−252+25−2+252−25−2−252+252−252+25−2+25−2−252−252+250000000000000000000000001−51+5000000001−5−1+51+5−1−51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19388-8-8-88-88-40000−2−25−2+254-4-444-442+25−2−252−25−2+25−2−252+25−2+252−252+252−252+252−25−2−25−2+250000000000000000000000001+51−500000000−1−51+5−1+51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19488-8-8-88-88-40000−2+25−2−254-4-444-442−25−2+252+25−2−25−2+252−25−2−252+252−252+252−252+25−2+25−2−250000000000000000000000001−51+500000000−1+51−5−1−51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8-888-8-88-40000−2−25−2+254-444-44-42+25−2−252−25−2+252+25−2−252−25−2+252+252−25−2−25−2+252+252−250000000000000000000000001+51−500000000−1−51+5−1+51−5−1−51+51+5−1−5−1+51−51−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1968-8-888-8-88-40000−2+25−2−254-444-44-42−25−2+252+25−2−252−25−2+252+25−2−252−252+25−2+25−2−252−252+250000000000000000000000001−51+500000000−1+51−5−1−51+5−1+51−51−5−1+5−1−51+51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1978-8-8-8888-8-40000−2−25−2+25-44444-4-4−2−252+25−2+252−252+25−2−252−25−2+252+252−252+252−25−2−25−2+250000000000000000000000001+51−5000000001+5−1−51−5−1+5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1988-8-8-8888-8-40000−2+25−2−25-44444-4-4−2+252−25−2−252+252−25−2+252+25−2−252−252+252−252+25−2+25−2−250000000000000000000000001−51+5000000001−5−1+51+5−1−5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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