Finite Group Databasebeta

← Group #14328078

Character table — Group #14328078

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444446666666666666666666666666666888888888888888888888888888810101010121212121212121212121212121212121212121212121212121220202020202020202020202020203030303040404040606060606060
order1222222234444556666666101010101010101010101010101044441212121215152020202020202020202020202020202020202020202020203030303030303030303030303030444444444444202020202020202020202020202020201212121260606060606060606060606060606060606060606060606044444420202020202020202020202020202020202020202020202022444412121212121212124444661212224444
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
χ5111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-111111111-1-11111-1-1-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ1711-11-1-1-111ii−i−i111-11-11-1-1-1-1-1-111-1-11111-1-11-1i−iii−i−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−i11-1-1ii−i−i11-1-11-1i−i1-1i−ii−i
χ1811-11-1-1-111ii−i−i111-11-11-1-1-1-1-1-111-1-11111-1-11-1i−iii−i−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−ii-1-111−i−iii-1-111-11−ii-11−ii−ii
χ1911-11-1-1-111ii−i−i111-11-11-1-1-1-1-1-111-1-11111-1-11-1i−iii−i−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-111−i−iii-1-111-1-1-1-1-1-1-1-1111111111-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-1i−ii−i11-1-1ii−i−i-1-1111-1i−i-11−ii−ii
χ2011-11-1-1-111ii−i−i111-11-11-1-1-1-1-1-111-1-11111-1-11-1i−iii−i−i111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-111−i−iii-1-111-1-1-1-1-1-1-1-1111111111-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11−ii−ii-1-111−i−iii11-1-1-11−ii1-1i−ii−i
χ2111-11-1-1-111ii−i−i111-11-11-1-1-1-1-1-111-1-11111-1-1-11−iiii−i−i11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-1−i−iii-1-11111111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11i−i−ii11-1-1ii−i−i11-1-1-11−ii-11i−i−ii
χ2211-11-1-1-111ii−i−i111-11-11-1-1-1-1-1-111-1-11111-1-1-11−iiii−i−i11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-1−i−iii-1-11111111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i-1-111−i−iii-1-1111-1i−i1-1−iii−i
χ2311-11-1-1-111ii−i−i111-11-11-1-1-1-1-1-111-1-11111-1-1-11−iiii−i−i11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-111ii−i−i11-1-1-1-1-1-1-1-1-1-111111111-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−ii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii11-1-1ii−i−i-1-111-11−ii1-1−iii−i
χ2411-11-1-1-111ii−i−i111-11-11-1-1-1-1-1-111-1-11111-1-1-11−iiii−i−i11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-111ii−i−i11-1-1-1-1-1-1-1-1-1-111111111-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−ii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i-1-111−i−iii11-1-11-1i−i-11i−i−ii
χ2511-11-1-1-111−i−iii111-11-11-1-1-1-1-1-111-1-11111-1-11-1−ii−i−iii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii11-1-1−i−iii11-1-11-1−ii1-1−ii−ii
χ2611-11-1-1-111−i−iii111-11-11-1-1-1-1-1-111-1-11111-1-11-1−ii−i−iii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i-1-111ii−i−i-1-111-11i−i-11i−ii−i
χ2711-11-1-1-111−i−iii111-11-11-1-1-1-1-1-111-1-11111-1-11-1−ii−i−iii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-111ii−i−i-1-111-1-1-1-1-1-1-1-1111111111-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-1−ii−ii11-1-1−i−iii-1-1111-1−ii-11i−ii−i
χ2811-11-1-1-111−i−iii111-11-11-1-1-1-1-1-111-1-11111-1-11-1−ii−i−iii111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-111ii−i−i-1-111-1-1-1-1-1-1-1-1111111111-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11i−ii−i-1-111ii−i−i11-1-1-11i−i1-1−ii−ii
χ2911-11-1-1-111−i−iii111-11-11-1-1-1-1-1-111-1-11111-1-1-11i−i−i−iii11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-1ii−i−i-1-11111111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i11-1-1−i−iii11-1-1-11i−i-11−iii−i
χ3011-11-1-1-111−i−iii111-11-11-1-1-1-1-1-111-1-11111-1-1-11i−i−i−iii11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-1ii−i−i-1-11111111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii-1-111ii−i−i-1-1111-1−ii1-1i−i−ii
χ3111-11-1-1-111−i−iii111-11-11-1-1-1-1-1-111-1-11111-1-1-11i−i−i−iii11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-111−i−iii11-1-1-1-1-1-1-1-1-1-111111111-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11−iii−i11-1-1−i−iii-1-111-11i−i1-1i−i−ii
χ3211-11-1-1-111−i−iii111-11-11-1-1-1-1-1-111-1-11111-1-1-11i−i−i−iii11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-111−i−iii11-1-1-1-1-1-1-1-1-1-111111111-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii-1-111ii−i−i11-1-11-1−ii-11−iii−i
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χ1894-4-4-444-44-20000442-222-2-224-44-4-4-4-4-4-44-444400000000-2-20000000000000000000000002-22-2-2-22-2-22222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000023−23−232300000000000000
χ1904-4-4-444-44-20000442-222-2-224-44-4-4-4-4-4-44-444400000000-2-20000000000000000000000002-22-2-2-22-2-222222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−232323−2300000000000000
χ1918-8888-8-8-8-40000−2−25−2+25-4-44-44442+252+252−252−252+252−25−2−25−2+25−2−252+25−2+252−25−2−25−2+25000000001+51−50000000000000000000000001+5−1−51−5−1+5−1−51+5−1−5−1+51−5−1+5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-8888-8-8-8-40000−2+25−2−25-4-44-44442−252−252+252+252−252+25−2+25−2−25−2+252−25−2−252+25−2+25−2−25000000001−51+50000000000000000000000001−5−1+51+5−1−5−1+51−5−1+5−1−51+5−1−5−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1938-88-8-8-888-40000−2−25−2+25444-4-44-42+25−2−252−25−2+252+252−25−2−25−2+252+25−2−252−25−2+252+252−25000000001+51−5000000000000000000000000−1−51+5−1+51−5−1−5−1−51+5−1+5−1+51−5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1948-88-8-8-888-40000−2+25−2−25444-4-44-42−25−2+252+25−2−252−252+25−2+25−2−252−25−2+252+25−2−252−252+25000000001−51+5000000000000000000000000−1+51−5−1−51+5−1+5−1+51−5−1−5−1−51+5−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8-88-888-8-40000−2−25−2+25-44444-4-4−2−25−2−25−2+25−2+252+252−252+252−25−2−252+25−2+252−252+252−25000000001+51−50000000000000000000000001+5−1−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1968-8-88-888-8-40000−2+25−2−25-44444-4-4−2+25−2+25−2−25−2−252−252+252−252+25−2+252−25−2−252+252−252+25000000001−51+50000000000000000000000001−5−1+51+5−1−51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1978-8-8-888-88-40000−2−25−2+254-444-4-44−2−252+25−2+252−252+252−252+252−252+25−2−252−25−2+25−2−25−2+25000000001+51−5000000000000000000000000−1−51+5−1+51−51+51+5−1−51−51−5−1+5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1988-8-8-888-88-40000−2+25−2−254-444-4-44−2+252−25−2−252+252−252+252−252+252−25−2+252+25−2−25−2+25−2−25000000001−51+5000000000000000000000000−1+51−5−1−51+51−51−5−1+51+51+5−1−5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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