Finite Group Databasebeta

← Group #13144257

Character table — Group #13144257

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248
size11111111111122222266666666666666666666666666666666181818181818181818181818111111111111222222666666666666666666666666666666661818181818181818181818181111111111112222226666666666666666666666666666666618181818181818181818181811111111111122222266666666666666666666666666666666181818181818181818181818
order122233666666441212121233336666666666661212121212121212121212121212121244441212121212121212444412121212121212124412121212121212121212121212121212121212121212121212121212121212121212121244441212121212121212222266666666441212121266666666666666661212121212121212121212121212121244441212121212121212444412121212121212124412121212121212121212121212121212121212121212121212121212121212121212121244441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
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χ61-11-111-1-111-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1-11-111-1-111-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1-11-111-1-111-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1-11-111-1-111-1-11-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii
χ71-11-111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii1-11-111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii1-11-111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii1-11-111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii
χ81-11-111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i1-11-111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i1-11-111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i1-11-111-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i
χ92222222222222222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000002222222222222222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000002222222222222222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000002222222222222222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ10222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ11222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ12222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ13222222222222-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111000000000000222222222222-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111000000000000222222222222-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111000000000000222222222222-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111000000000000
χ14222222222222-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111000000000000222222222222-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111000000000000222222222222-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111000000000000222222222222-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111000000000000
χ15222222222222-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-211000000000000222222222222-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-211000000000000222222222222-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-211000000000000222222222222-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-211000000000000
χ16222222222222-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2000000000000222222222222-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2000000000000222222222222-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2000000000000222222222222-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2000000000000
χ1722-2-22222-2-2-2-200000022222-22-22-22-2-2-2-2-2000000000000000000000000000022-2-22222-2-2-2-200000022222-22-22-22-2-2-2-2-2000000000000000000000000000022-2-22222-2-2-2-200000022222-22-22-22-2-2-2-2-2000000000000000000000000000022-2-22222-2-2-2-200000022222-22-22-22-2-2-2-2-20000000000000000000000000000
χ1822-2-22222-2-2-2-20000002-1-1-12-2-11-11-11-2111003−33−33−3003−33−33−300000000000022-2-22222-2-2-2-20000002-1-1-12-2-11-11-11-2111003−33−33−3003−33−33−300000000000022-2-22222-2-2-2-20000002-1-1-12-2-11-11-11-2111003−33−33−3003−33−33−300000000000022-2-22222-2-2-2-20000002-1-1-12-2-11-11-11-2111003−33−33−3003−33−33−3000000000000
χ1922-2-22222-2-2-2-20000002-1-1-12-2-11-11-11-211100−33−33−3300−33−33−3300000000000022-2-22222-2-2-2-20000002-1-1-12-2-11-11-11-211100−33−33−3300−33−33−3300000000000022-2-22222-2-2-2-20000002-1-1-12-2-11-11-11-211100−33−33−3300−33−33−3300000000000022-2-22222-2-2-2-20000002-1-1-12-2-11-11-11-211100−33−33−3300−33−33−33000000000000
χ2022-2-22222-2-2-2-2000000-12-1-1-112-2-11-111-2113−3003−3−333−3003−3−3300000000000022-2-22222-2-2-2-2000000-12-1-1-112-2-11-111-2113−3003−3−333−3003−3−3300000000000022-2-22222-2-2-2-2000000-12-1-1-112-2-11-111-2113−3003−3−333−3003−3−3300000000000022-2-22222-2-2-2-2000000-12-1-1-112-2-11-111-2113−3003−3−333−3003−3−33000000000000
χ2122-2-22222-2-2-2-2000000-12-1-1-112-2-11-111-211−3300−333−3−3300−333−300000000000022-2-22222-2-2-2-2000000-12-1-1-112-2-11-111-211−3300−333−3−3300−333−300000000000022-2-22222-2-2-2-2000000-12-1-1-112-2-11-111-211−3300−333−3−3300−333−300000000000022-2-22222-2-2-2-2000000-12-1-1-112-2-11-111-211−3300−333−3−3300−333−3000000000000
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χ2422-2-22222-2-2-2-2000000-1-1-12-11-11-112-2111-23−33−3−33003−33−3−330000000000000022-2-22222-2-2-2-2000000-1-1-12-11-11-112-2111-23−33−3−33003−33−3−330000000000000022-2-22222-2-2-2-2000000-1-1-12-11-11-112-2111-23−33−3−33003−33−3−330000000000000022-2-22222-2-2-2-2000000-1-1-12-11-11-112-2111-23−33−3−33003−33−3−3300000000000000
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χ332-22-222-2-222-2-2-22-2-222-1-1-12111111-2-2-1-1-12111111-2-2-1-1-1-1-1-1220000000000002-22-222-2-222-2-2-22-2-222-1-1-12111111-2-2-1-1-12111111-2-2-1-1-1-1-1-1220000000000002-22-222-2-222-2-2-22-2-222-1-1-12111111-2-2-1-1-12111111-2-2-1-1-1-1-1-1220000000000002-22-222-2-222-2-2-22-2-222-1-1-12111111-2-2-1-1-12111111-2-2-1-1-1-1-1-122000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.