Finite Group Databasebeta

← Group #13176806

Character table — Group #13176806

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size111122222222222222222222224444444444444444444444444444444444444444446666121212121212121212121212121212121818181827272727363636365454111122222222222222222222224444444444444444444444444444444444444444446666121212121212121212121212121212121818181827272727363636365454
order12223333344666666666666666333366666666666612121212121212121212121212121212121212121212121212124444121212121212121212121212121212124444444412121212222222666664466666666666666666666666666666661212121212121212121212121212121212121212121212121212444412121212121212121212121212121212444444441212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ6111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ8111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1
χ91-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i11-1-1i−ii−i1-11-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i11-1-1i−ii−i1-1
χ101-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii-1-111−ii−ii-111-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii-1-111−ii−ii-11
χ111-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiiii−ii−i-1-111i−ii−i-111-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiiii−ii−i-1-111i−ii−i-11
χ121-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−ii11-1-1−ii−ii1-11-1-11111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−ii11-1-1−ii−ii1-1
χ131-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiiii−i−ii11-1-1i−i−ii-111-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiiii−i−ii11-1-1i−i−ii-11
χ141-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii−iii−i-1-111−iii−i1-11-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii−iii−i-1-111−iii−i1-1
χ151-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-1-111i−i−ii1-11-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-1-111i−i−ii1-1
χ161-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i11-1-1−iii−i-111-1-1111111-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i11-1-1−iii−i-11
χ1722222222-1222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022220000-1-1-1-10022222222-1222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022220000-1-1-1-100
χ1822222222-1222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2000011110022222222-1222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000111100
χ1922222222-1-2-22222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-2111111111111111110000000000000000000022-2-20000-1-1110022222222-1-2-22222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-2111111111111111110000000000000000000022-2-20000-1-11100
χ2022222222-1-2-22222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-21111111111111111100000000000000000000-2-222000011-1-10022222222-1-2-22222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-21111111111111111100000000000000000000-2-222000011-1-100
χ2122222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-10000000000000022222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-100000000000000
χ2222222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2111-2111-2111-21110000000000000022222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2111-2111-2111-211100000000000000
χ2322222-1-1-12-2-22-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2-2111-2-2-2111111-2-211111122-2-22-1-1-12-1-1-1-2111-21110000000000000022222-1-1-12-2-22-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2-2111-2-2-2111111-2-211111122-2-22-1-1-12-1-1-1-2111-211100000000000000
χ2422222-1-1-12-2-22-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2-2111-2-2-2111111-2-2111111-2-222-2111-21112-1-1-12-1-1-10000000000000022222-1-1-12-2-22-1-1-122-1-1-122-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2111-2-2111-2-2-2111111-2-2111111-2-222-2111-21112-1-1-12-1-1-100000000000000
χ252222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1000000000000002222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-100000000000000
χ262222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-21-2111-2111-2111-211000000000000002222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-21-2111-2111-2111-21100000000000000
χ272222-12-1-12-2-2-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-211-21-211-211-2-2111111-2-2111122-2-2-12-1-1-12-1-11-2111-211000000000000002222-12-1-12-2-2-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-211-21-211-211-2-2111111-2-2111122-2-2-12-1-1-12-1-11-2111-21100000000000000
χ282222-12-1-12-2-2-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-211-21-211-211-2-2111111-2-21111-2-2221-2111-211-12-1-1-12-1-1000000000000002222-12-1-12-2-2-12-1-12-12-1-12-12-1-12-12-1-1-1-122-1-1-1-1-12-1-11-211-21-211-211-2-2111111-2-21111-2-2221-2111-211-12-1-1-12-1-100000000000000
χ292222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-12-1000000000000002222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-12-1-1-12-100000000000000
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χ312222-1-12-12-2-2-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-21-211-21-21111-2-2111111-2-21122-2-2-1-12-1-1-12-111-2111-21000000000000002222-1-12-12-2-2-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-21-211-21-21111-2-2111111-2-21122-2-2-1-12-1-1-12-111-2111-2100000000000000
χ322222-1-12-12-2-2-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-21-211-21-21111-2-2111111-2-211-2-22211-2111-21-1-12-1-1-12-1000000000000002222-1-12-12-2-2-1-12-12-1-12-12-1-12-12-1-12-1-1-1-1-122-1-1-1-12-111-21-211-21-21111-2-2111111-2-211-2-22211-2111-21-1-12-1-1-12-100000000000000
χ332222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-12000000000000002222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ342222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111-2111-2111-2111-2000000000000002222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111-2111-2111-2111-200000000000000
χ352222-1-1-122-2-2-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2-2111-2-2111111-2-2111111-2-222-2-2-1-1-12-1-1-12111-2111-2000000000000002222-1-1-122-2-2-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2-2111-2-2111111-2-2111111-2-222-2-2-1-1-12-1-1-12111-2111-200000000000000
χ362222-1-1-122-2-2-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2-2111-2-2111111-2-2111111-2-2-2-222111-2111-2-1-1-12-1-1-12000000000000002222-1-1-122-2-2-1-1-122-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12111-2-2111-2-2111111-2-2111111-2-2-2-222111-2111-2-1-1-12-1-1-1200000000000000
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χ2014-4-44-2-24-2-24-422-422-2-24-2-222-42211-21-1-1-1-122-1-111-21-2-24-2-222-4221111-2-211-1-1-1-122-1-10000000000000000000000000000000000-444-422-422-44-2-24-2-222-422-2-24-2-2-1-12-11111-2-211-1-12-122-422-2-24-2-2-1-1-1-122-1-11111-2-2110000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).