Finite Group Databasebeta

← Group #13175912

Character table — Group #13175912

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11112222222222222222222222222233334444444444444444444444444444444444444444444444666666666666666666666688888888888888888888888899991212121212121212121212121212121212121212121212121818181818181818181827272727363636363636545454545454
order1222223333344446666666666666664444333366666666666666666666661212121212121212121212121212121212121212224444121212121212121212121212121212126666666612121212121212121212121212121212444466666666121212121212121212121212121212122244441212121222226612121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ511111111111-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ611111111111-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111-1-1-1-1111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111
χ811111111111-1-1-1-1111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1
χ91111-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-111-1-1
χ101111-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111
χ111111-1-11111111-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ121111-1-11111111-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111111-1-111-1-111-1-1
χ131111-1-111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ141111-1-111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ151111-1-111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ161111-1-111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ1711-1-11-111111i−ii−i-1-1-1-1-11111-1-1-1-11-1ii−i−i11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−i1-11-1i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1-11-1i−iii−i−i11-1-11-11-1i−i1-1i−ii−i
χ1811-1-11-111111i−ii−i-1-1-1-1-11111-1-1-1-11-1ii−i−i11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−i1-11-1i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-11-11−ii−i−iii-1-111-11-11−ii-11−ii−ii
χ1911-1-11-111111i−ii−i-1-1-1-1-11111-1-1-1-11-1−i−iii11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−i-11-11−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1-11-1i−iii−i−i-1-1111-11-1i−i-11−ii−ii
χ2011-1-11-111111i−ii−i-1-1-1-1-11111-1-1-1-11-1−i−iii11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−iiiii−i−i−i−ii−i-11-11−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-11-11−ii−i−iii11-1-1-11-11−ii1-1i−ii−i
χ2111-1-11-111111−ii−ii-1-1-1-1-11111-1-1-1-11-1ii−i−i11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii-11-11i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-11-11i−iii−i−i11-1-1-11-11i−i1-1−ii−ii
χ2211-1-11-111111−ii−ii-1-1-1-1-11111-1-1-1-11-1ii−i−i11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii-11-11i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1-11-1−ii−i−iii-1-1111-11-1−ii-11i−ii−i
χ2311-1-11-111111−ii−ii-1-1-1-1-11111-1-1-1-11-1−i−iii11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii1-11-1−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-11-11i−iii−i−i-1-111-11-11i−i-11i−ii−i
χ2411-1-11-111111−ii−ii-1-1-1-1-11111-1-1-1-11-1−i−iii11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−iiiii−ii1-11-1−ii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1-11-1−ii−i−iii11-1-11-11-1−ii1-1−ii−ii
χ2511-1-1-1111111i−i−ii-1-1-1-1-11111-1-1-1-11-1ii−i−i1111-1-1-1-11111-111111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i−i−i−i−iiiii−ii-111-1−iiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-111-1−iiii−i−i11-1-1-111-1−ii-11i−i−ii
χ2611-1-1-1111111i−i−ii-1-1-1-1-11111-1-1-1-11-1ii−i−i1111-1-1-1-11111-111111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i−i−i−i−iiiii−ii-111-1−iiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii1-1-11i−i−i−iii-1-1111-1-11i−i1-1−iii−i
χ2711-1-1-1111111i−i−ii-1-1-1-1-11111-1-1-1-11-1−i−iii1111-1-1-1-11111-111111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i−i−i−i−iiiii−ii1-1-11i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-111-1−iiii−i−i-1-111-111-1−ii1-1−iii−i
χ2811-1-1-1111111i−i−ii-1-1-1-1-11111-1-1-1-11-1−i−iii1111-1-1-1-11111-111111-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i−i−i−i−iiiii−ii1-1-11i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1-1-11i−i−i−iii11-1-11-1-11i−i-11i−i−ii
χ2911-1-1-1111111−iii−i-1-1-1-1-11111-1-1-1-11-1ii−i−i1111-1-1-1-11111-111111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiiiiiii−i−i−i−ii−i1-1-11−iiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1-1-11−iiii−i−i11-1-11-1-11−ii-11−iii−i
χ3011-1-1-1111111−iii−i-1-1-1-1-11111-1-1-1-11-1ii−i−i1111-1-1-1-11111-111111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiiiiiii−i−i−i−ii−i1-1-11−iiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-111-1i−i−i−iii-1-111-111-1i−i1-1i−i−ii
χ3111-1-1-1111111−iii−i-1-1-1-1-11111-1-1-1-11-1−i−iii1111-1-1-1-11111-111111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiiiiiii−i−i−i−ii−i-111-1i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i1-1-11−iiii−i−i-1-1111-1-11−ii1-1i−i−ii
χ3211-1-1-1111111−iii−i-1-1-1-1-11111-1-1-1-11-1−i−iii1111-1-1-1-11111-111111-1-1-1-1-1-1-1-1−i−i−i−i−iiiiiiiiii−i−i−i−ii−i-111-1i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-111-1i−i−i−iii11-1-1-111-1i−i-11−iii−i
χ332222222222-122222222-122222222-1-10000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-122222222-1-10000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000222222-1-1-1-10000-1-1-1-1-1-1000000
χ342222222222-122222222-122222222-1-10000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-122222222-1-10000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000000000-2-2-2-2-2-211110000111111000000
χ352222222222-1-2-2-2-22222-122222222-1-10000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-21-2-2-2-2-2-2-2-2110000000000000000000000-1-1-1-1-1-1-1-111111111111111112222000000000000000000000000-2-2-2-222-1-1-1-100001111-1-1000000
χ362222222222-1-2-2-2-22222-122222222-1-10000-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-21-2-2-2-2-2-2-2-2110000000000000000000000-1-1-1-1-1-1-1-11111111111111111-2-2-2-20000000000000000000000002222-2-211110000-1-1-1-111000000
χ372222222-1-1-1222222-1-1-122-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-12-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000000000000000000
χ382222222-1-1-1222222-1-1-122-1-1-12-1-1-122-2-2-2-22-1-1-12-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-12-1-1-122-2-2-2-2-2-2-2-2111111-2-21111112-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000-2111-2111-2111-2111-2111-211100000000000000000000000000
χ392222222-1-1-12-2-2-2-22-1-1-122-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-1-2111-2-2111-2-2111-2111-2-2-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2111-2111-2111-21110000-2111-2111-2111-21112-1-1-12-1-1-100000000000000000000000000
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Here i is the imaginary unit (i² = −1).