Finite Group Databasebeta

← Group #13177228

Character table — Group #13177228

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-111111-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
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χ711111111-1-111111-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-111
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χ101111-1-1-1-11111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-111-1-1-1-11111
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χ131111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111
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χ151111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-11111-1-111-1-1-1-111
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χ1714-44-4−4i4i−4i4i00-2-24-2-2002-2-442-22-222-4222-22i−2i2i−2i2i−2i2i−2i−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i1-2110000000000-112-2-11-113-3-3300003-3-33-333-3-12-1-10000000000−ii−ii2i−2i2i−2i−ii−ii−ii−ii−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1724-44-4−4i4i−4i4i00-2-24-2-2002-2-442-22-222-4222-22i−2i2i−2i2i−2i2i−2i−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i1-2110000000000-112-2-11-11-333-30000-333-33-3-33-12-1-10000000000−ii−ii2i−2i2i−2i−ii−ii−ii−ii3i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1734-44-4−4i4i−4i4i00-2-2-24-2002-22-2-442-2222-422-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i−4i4i−4i4i2i−2i2i−2i11-210000000000-11-112-2-113-3-33-333-300003-3-33-1-12-10000000000−ii−ii−ii−ii2i−2i2i−2i−ii−ii−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1744-44-4−4i4i−4i4i00-2-2-24-2002-22-2-442-2222-422-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i−4i4i−4i4i2i−2i2i−2i11-210000000000-11-112-2-11-333-33-3-330000-333-3-1-12-10000000000−ii−ii−ii−ii2i−2i2i−2i−ii−ii3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1754-44-4−4i4i−4i4i00-2-2-2-24002-22-22-2-442222-42-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i−4i4i−4i4i111-20000000000-11-11-112-23-3-333-3-33-333-30000-1-1-120000000000−ii−ii−ii−ii−ii−ii2i−2i2i−2i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1764-44-4−4i4i−4i4i00-2-2-2-24002-22-22-2-442222-42-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i−4i4i−4i4i111-20000000000-11-11-112-2-333-3-333-33-3-330000-1-1-120000000000−ii−ii−ii−ii−ii−ii2i−2i2i−2i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1774-4-444-4-444-4-24-2-2-24-4-4-4222222-24-2-2-222-222-24-4-44-222-2-222-2-222-2-2111-224-4-22-22-2222-1-1-1-1-1-1-2-22211-1-111-1-111-1-1-2111-224-4-22-22-22-222-21-1-111-1-111-1-11-2-22211-1-111-1-111-1-100000000000000000000000000000000000000000000000000000000
χ1784-4-444-4-444-4-2-24-2-24-422-4-42222-2-24-2-222-222-2-222-24-4-44-222-2-222-21-211-22-224-4-22-22-1-122-1-1-1-111-1-1-2-22211-1-111-1-11-211-22-224-4-22-221-1-11-222-21-1-111-1-1111-1-1-2-22211-1-111-1-100000000000000000000000000000000000000000000000000000000
χ1794-4-444-4-444-4-2-2-24-24-42222-4-422-2-2-24-222-222-2-222-2-222-24-4-44-222-211-21-22-22-224-4-22-1-1-1-122-1-111-1-111-1-1-2-22211-1-111-21-22-22-224-4-221-1-111-1-11-222-21-1-1111-1-111-1-1-2-22211-1-100000000000000000000000000000000000000000000000000000000
χ1804-4-444-4-444-4-2-2-2-244-4222222-4-4-2-2-2-2422-222-2-222-2-222-2-222-24-4-44111-2-22-22-22-224-4-1-1-1-1-1-12211-1-111-1-111-1-1-2-222111-2-22-22-22-224-41-1-111-1-111-1-11-222-211-1-111-1-111-1-1-2-22200000000000000000000000000000000000000000000000000000000
χ1814-4-444-4-44-44-24-2-2-2-44-4-4222222-24-2-2-222-222-24-4-44-222-2-222-2-222-2-21112-2-442-22-22-222-1-1-1-1-1-122-2-2-1-111-1-111-1-111-21112-2-442-22-22-2-222-21-1-111-1-111-1-1122-2-2-1-111-1-111-1-11100000000000000000000000000000000000000000000000000000000
χ1824-4-444-4-44-44-2-24-2-2-4422-4-42222-2-24-2-222-222-2-222-24-4-44-222-2-222-21-2112-22-2-442-22-2-1-122-1-1-1-1-1-11122-2-2-1-111-1-1111-2112-22-2-442-22-21-1-11-222-21-1-111-1-11-1-11122-2-2-1-111-1-11100000000000000000000000000000000000000000000000000000000
χ1834-4-444-4-44-44-2-2-24-2-442222-4-422-2-2-24-222-222-2-222-2-222-24-4-44-222-211-212-22-22-2-442-2-1-1-1-122-1-1-1-111-1-11122-2-2-1-11111-212-22-22-2-442-21-1-111-1-11-222-21-1-11-1-111-1-11122-2-2-1-11100000000000000000000000000000000000000000000000000000000
χ1844-4-444-4-44-44-2-2-2-24-44222222-4-4-2-2-2-2422-222-2-222-2-222-2-222-24-4-44111-22-22-22-22-2-44-1-1-1-1-1-122-1-111-1-111-1-11122-2-2111-22-22-22-22-2-441-1-111-1-111-1-11-222-2-1-111-1-111-1-11122-2-200000000000000000000000000000000000000000000000000000000
χ1854-4-44-444-44-4-24-2-2-2-44-4-4222222-24-2-2-2222-2-22-444-42-2-222-2-222-2-22-2111-224-4-22-22-2222-1-1-1-1-1-1-2-22211-1-111-1-111-1-1-21112-2-442-22-22-22-2-22-111-1-111-1-111-122-2-2-1-111-1-111-1-11100000000000000000000000000000000000000000000000000000000
χ1864-4-44-444-44-4-2-24-2-2-4422-4-42222-2-24-2-2222-2-222-2-22-444-42-2-222-2-221-211-22-224-4-22-22-1-122-1-1-1-111-1-1-2-22211-1-111-1-11-2112-22-2-442-22-2-111-12-2-22-111-1-111-1-1-11122-2-2-1-111-1-11100000000000000000000000000000000000000000000000000000000
χ1874-4-44-444-44-4-2-2-24-2-442222-4-422-2-2-24-2222-2-222-2-222-2-22-444-42-2-2211-21-22-22-224-4-22-1-1-1-122-1-111-1-111-1-1-2-22211-1-111-212-22-22-2-442-2-111-1-111-12-2-22-111-1-1-111-1-11122-2-2-1-11100000000000000000000000000000000000000000000000000000000
χ1884-4-44-444-44-4-2-2-2-24-44222222-4-4-2-2-2-24222-2-222-2-222-2-222-2-22-444-4111-2-22-22-22-224-4-1-1-1-1-1-12211-1-111-1-111-1-1-2-222111-22-22-22-22-2-44-111-1-111-1-111-12-2-22-1-111-1-111-1-11122-2-200000000000000000000000000000000000000000000000000000000
χ1894-4-44-444-4-44-24-2-2-24-4-4-4222222-24-2-2-2222-2-22-444-42-2-222-2-222-2-22-21112-2-442-22-22-222-1-1-1-1-1-122-2-2-1-111-1-111-1-111-2111-224-4-22-22-222-2-22-111-1-111-1-111-1-2-22211-1-111-1-111-1-100000000000000000000000000000000000000000000000000000000
χ1904-4-44-444-4-44-2-24-2-24-422-4-42222-2-24-2-2222-2-222-2-22-444-42-2-222-2-221-2112-22-2-442-22-2-1-122-1-1-1-1-1-11122-2-2-1-111-1-1111-211-22-224-4-22-22-111-12-2-22-111-1-111-111-1-1-2-22211-1-111-1-100000000000000000000000000000000000000000000000000000000
χ1914-4-44-444-4-44-2-2-24-24-42222-4-422-2-2-24-2222-2-222-2-222-2-22-444-42-2-2211-212-22-22-2-442-2-1-1-1-122-1-1-1-111-1-11122-2-2-1-11111-21-22-22-224-4-22-111-1-111-12-2-22-111-111-1-111-1-1-2-22211-1-100000000000000000000000000000000000000000000000000000000
χ1924-4-44-444-4-44-2-2-2-244-4222222-4-4-2-2-2-24222-2-222-2-222-2-222-2-22-444-4111-22-22-22-22-2-44-1-1-1-1-1-122-1-111-1-111-1-11122-2-2111-2-22-22-22-224-4-111-1-111-1-111-12-2-2211-1-111-1-111-1-1-2-22200000000000000000000000000000000000000000000000000000000

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