Finite Group Databasebeta

← Group #13163495

Character table — Group #13163495

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201
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χ4111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
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χ61111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11
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χ1322222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-211111111111111111100000000
χ1422222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111111112-2-2-2-2-2-2-2-211111111111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
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χ1622222-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2-2-2-2-211111111111100000000
χ1722222-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-211111111111100000000
χ1822222-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111112-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1922222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122222-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100000000
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χ2122222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2222-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111111111-2-2-2-2-2-2111111-2-2111111111111-2-2-2-2-2-211111100000000
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χ2422222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-22-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222-2-2-2-2111111111111111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2111111111111111111-2-2-2-2-2-200000000
χ2522222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2111111111111111111-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-200000000
χ2622222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-22-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222-2-2-2-2111111111111111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-22-2-2111111111111111111-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200000000
χ272222-12-1-12-1-12-1-12-1-122-12-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-12-1-12-1-12-1-12-1-1-12-1-12-1-12-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-100000000
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χ322222-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-122-2-2-12-1-1-12-1-12-1-12-1-12-1-1-12-1-12-1-12-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-21111-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-111-2-2111111-2-21111-2-21111-2-21100000000
χ332222-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-2-222-12-1-1-12-1-12-1-12-1-12-1-1-12-1-12-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-211-2-2111111-2-21111-2-21111-2-21111-2-2111111-2-21111-2-21111-2-21100000000
χ342222-12-1-1-12-1-12-1-12-122-12-1-1-12-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-2-2-2-2-12-1-1-12-1-12-1-12-1-12-1-1-12-1-12-1-12-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-21111211-2-2111111-2-21111-2-21111-2-211-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-100000000
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χ9922-2-2-1-12-1-12-1-1-122-1-1-22-1-12-1-12-1-1-122-1-11111-2-21111-2-2111111-2-2-2-211112i−2i0011-211-2111-2-211-1-12-1-12-1-1-122-1-1−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3i3i3−i3−i30−ii−ii2i−2i−ii−ii2i−2i−ii−ii−ii2i−2i2i−2i−ii−ii3−3−33003−3−33003−33−3−3300003−3−3300000000
χ10022-2-2-1-12-1-12-1-1-122-1-1-22-1-12-1-12-1-1-122-1-11111-2-21111-2-2111111-2-2-2-211112i−2i0011-211-2111-2-211-1-12-1-12-1-1-122-1-1i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000i3i3−i3−i3−i3−i3i3i30−ii−ii2i−2i−ii−ii2i−2i−ii−ii−ii2i−2i2i−2i−ii−ii−333−300−333−300−33−333−30000−333−300000000
χ10122-2-2-1-12-1-12-1-1-122-1-1-22-1-12-1-12-1-1-122-1-11111-2-21111-2-2111111-2-2-2-21111−2i2i0011-211-2111-2-211-1-12-1-12-1-1-122-1-1−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3i3i3−i3−i30i−ii−i−2i2ii−ii−i−2i2ii−ii−ii−i−2i2i−2i2ii−ii−i−333−300−333−300−33−333−30000−333−300000000
χ10222-2-2-1-12-1-12-1-1-122-1-1-22-1-12-1-12-1-1-122-1-11111-2-21111-2-2111111-2-2-2-21111−2i2i0011-211-2111-2-211-1-12-1-12-1-1-122-1-1i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000i3i3−i3−i3−i3−i3i3i30i−ii−i−2i2ii−ii−i−2i2ii−ii−ii−i−2i2i−2i2ii−ii−i3−3−33003−3−33003−33−3−3300003−3−3300000000
χ10322-2-2-1-12-1-1-122-1-1-12-1-22-1-12-1-1-122-1-1-12-11111-2-2111111-2-2-2-2111111-2-2112i−2i0011-2111-2-2111-21-1-12-1-1-122-1-1-12-1−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000−i3−i3i3i30−ii−ii2i−2i−ii−ii−ii2i−2i2i−2i−ii−ii−ii2i−2i−ii3−3−33003−33−3−3300003−3−33−33003−300000000
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χ10522-2-2-1-12-1-1-122-1-1-12-1-22-1-12-1-1-122-1-1-12-11111-2-2111111-2-2-2-2111111-2-211−2i2i0011-2111-2-2111-21-1-12-1-1-122-1-1-12-1−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000−i3−i3i3i30i−ii−i−2i2ii−ii−ii−i−2i2i−2i2ii−ii−ii−i−2i2ii−i−333−300−33−333−30000−333−33−300−3300000000
χ10622-2-2-1-12-1-1-122-1-1-12-1-22-1-12-1-1-122-1-1-12-11111-2-2111111-2-2-2-2111111-2-211−2i2i0011-2111-2-2111-21-1-12-1-1-122-1-1-12-1i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000i3i3−i3−i30i−ii−i−2i2ii−ii−ii−i−2i2i−2i2ii−ii−ii−i−2i2ii−i3−3−33003−33−3−3300003−3−33−33003−300000000
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χ1914-4-44-2-24-24-2-2-24-2-2-240022-42-4222-4222-42-22-2-442-2-442-22-22-2-442-22-22-2-44000000000000000000000000000000−666−66−6−660000−666−60000−666−66−6−666−6−660000−666−6−666−66−6−6600000000000000000000000000000000000000000000000000000000000000000
χ1924-4-44-2-24-2-24-2-2-244-2-20022-422-4222-4-4222-22-2-442-22-2-442-22-22-2-44-442-22-20000000000000000000000000000006−6−66−666−600006−6−66−666−600006−6−666−6−66−666−6000000006−6−66−666−60000000000000000000000000000000000000000000000000000000000000
χ1934-4-44-2-24-2-24-2-2-244-2-20022-422-4222-4-4222-22-2-442-22-2-442-22-22-2-44-442-22-2000000000000000000000000000000−666−66−6−660000−666−66−6−660000−666−6−666−66−6−6600000000−666−66−6−660000000000000000000000000000000000000000000000000000000000000
χ1944-4-44-2-24-2-2-244-2-2-24-20022-4222-4-4222-422-22-2-442-22-22-2-44-442-22-22-2-442-20000000000000000000000000000006−6−66−666−600006−6−666−6−66−666−6000000006−6−66−666−6−666−600006−6−660000000000000000000000000000000000000000000000000000000000000
χ1954-4-44-2-24-2-2-244-2-2-24-20022-4222-4-4222-422-22-2-442-22-22-2-44-442-22-22-2-442-2000000000000000000000000000000−666−66−6−660000−666−6−666−66−6−6600000000−666−66−6−666−6−660000−666−60000000000000000000000000000000000000000000000000000000000000
χ1964-4-44-2-2-244-2-2-2-24-24-200222-4-42222-42-422-22-22-2-44-442-22-22-22-2-442-2-442-20000000000000000000000000000006−6−666−6−66−666−6000000006−6−66−666−66−6−66−666−60000−666−600006−6−660000000000000000000000000000000000000000000000000000000000000
χ1974-4-44-2-2-244-2-2-2-24-24-200222-4-42222-42-422-22-22-2-44-442-22-22-22-2-442-2-442-2000000000000000000000000000000−666−6−666−66−6−6600000000−666−66−6−66−666−66−6−6600006−6−660000−666−60000000000000000000000000000000000000000000000000000000000000
χ1984-4-44-2-2-24-24-24-2-2-2-2400222-42-42-42222-42-22-22-2-442-2-442-2-442-22-22-22-2-440000000000000000000000000000006−6−666−6−66−666−60000−666−600006−6−6600006−6−66−666−66−6−66−666−600000000000000000000000000000000000000000000000000000000000000000
χ1994-4-44-2-2-24-24-24-2-2-2-2400222-42-42-42222-42-22-22-2-442-2-442-2-442-22-22-22-2-44000000000000000000000000000000−666−6−666−66−6−6600006−6−660000−666−60000−666−66−6−66−666−66−6−6600000000000000000000000000000000000000000000000000000000000000000
χ2004-4-44-2-2-24-2-24-24-24-2-200222-422-42-42-4222-22-22-2-442-22-2-442-2-442-2-442-22-20000000000000000000000000000006−6−666−6−66−666−600006−6−66−666−60000−666−600006−6−6600006−6−66−666−60000000000000000000000000000000000000000000000000000000000000
χ2014-4-44-2-2-24-2-24-24-24-2-200222-422-42-42-4222-22-22-2-442-22-2-442-2-442-2-442-22-2000000000000000000000000000000−666−6−666−66−6−660000−666−66−6−6600006−6−660000−666−60000−666−66−6−660000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).