Finite Group Databasebeta

← Group #13161419

Character table — Group #13161419

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444666612121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363654545454108108
order1222222233333666666666666666666666666666666666662233336666666666666666666666666666666666666666666666666666666666666666666666666666666644444412121212121212121212121212121212121212121212121212121212121212124444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-111
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χ911-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-11-111-1-111-1-1ii−i−ii−i
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χ1111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-11-111-1-111-1-1−i−iii−ii
χ1211-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-11-1-111-1-111ii−i−ii−i
χ1311-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1111-1-1-1-111ii−i−i−ii
χ1411-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-1-11111-1-1−i−iiii−i
χ1511-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1111-1-1-1-111−i−iiii−i
χ1611-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-1-11111-1-1ii−i−i−ii
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χ18222222222222-1222222222222-122222222-1-1-1-122222222-1-122-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000-2-2-2-2-2-211111111000000
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χ20222222222222-1222222222222-122222222-1-1-1-122222222-1-1-2-2-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000000000000000000000000000-2-2-2-2221111-1-1-1-1000000
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χ2722222222-12-1-12-1-1-1222-1-1-1-1-1-12-1-122-1-1-1-12222-1-122-1-1-1-122-2-2-12-1-111-2-21111-2-211-2-21111-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111112222-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000000000000000
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χ1704-44-4-444-4-2-2-24-222-222-222-2-4-442-2-2-2-2-2-244-222-2222222-4-42-200111-22i3−2i32i3−2i3−2i32i300002i3−2i32i3−2i3−2i32i30000-1-11-1-11-1-1122-21-1-111-1-111-1-11-222-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000000000000000000000
χ1714-4-44-44-444444-2-4-44-4-44-4-44-4-442-4-4-4-4-4-4-4-42-2-22444444442-200-2-2-2-20000000000000000000022-222-222-222-22-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1724-4-44-44-444-2-2-2-2-4-4422-222-222-22-4-42222222-2-2244-2-2-2-2-2-22-200-211100−2i32i3−2i32i3−2i32i300002i3−2i32i3−2i32i3−2i30022-2-1-11-1-11-1-112-2-22-111-1-111-1-111-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1734-4-44-44-444-2-2-2-2-4-4422-222-222-22-4-42222222-2-2244-2-2-2-2-2-22-200-2111002i3−2i32i3−2i32i3−2i30000−2i32i3−2i32i3−2i32i30022-2-1-11-1-11-1-112-2-22-111-1-111-1-111-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1744-4-44-44-44-24-2-2-222-2-4-4422-222-2222-4-422222-2-22-2-244-2-2-2-22-2001-211−2i32i300−2i32i32i3−2i3002i3−2i3002i3−2i3−2i32i300-1-1122-2-1-11-1-11-111-12-2-22-111-1-111-1i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1754-4-44-44-44-24-2-2-222-2-4-4422-222-2222-4-422222-2-22-2-244-2-2-2-22-2001-2112i3−2i3002i3−2i3−2i32i300−2i32i300−2i32i32i3−2i300-1-1122-2-1-11-1-11-111-12-2-22-111-1-111-1−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1764-4-44-44-44-2-24-2-222-222-2-4-4422-222222-4-4222-2-22-2-2-2-244-2-22-20011-21−2i32i32i3−2i300−2i32i3002i3−2i3−2i32i3002i3−2i300-1-11-1-1122-2-1-11-111-1-111-12-2-22-111-1i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1774-4-44-44-44-2-24-2-222-222-2-4-4422-222222-4-4222-2-22-2-2-2-244-2-22-20011-212i3−2i3−2i32i3002i3−2i300−2i32i32i3−2i300−2i32i300-1-11-1-1122-2-1-11-111-1-111-12-2-22-111-1−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1784-4-44-44-44-2-2-24-222-222-222-2-4-442222222-4-42-2-22-2-2-2-2-2-2442-200111-2−2i32i3−2i32i32i3−2i300002i3−2i32i3−2i3−2i32i30000-1-11-1-11-1-1122-2-111-1-111-1-111-12-2-22i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000000000000000000000
χ1794-4-44-44-44-2-2-24-222-222-222-2-4-442222222-4-42-2-22-2-2-2-2-2-2442-200111-22i3−2i32i3−2i3−2i32i30000−2i32i3−2i32i32i3−2i30000-1-11-1-11-1-1122-2-111-1-111-1-111-12-2-22−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000000000000000000000
χ1804-4-4-44-4444444-2-44-4-44-4-44-4-44-42-44-44-44-442-22-24-44-44-44-4-2200-2-2-2-2000000000000000000002-222-222-222-222-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1814-4-4-44-4444-2-2-24-44-42-222-222-22-4-442-22-22-2-44-444-4-22-22-224-4004-2-2-200000000000000000000-44-42-222-222-22-44-442-22-22-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1824-4-4-44-4444-2-2-2-2-44-42-222-222-222-442-22-22-22-22-24-4-22-22-22-2200-2111000000000000000000002-22-11-1-11-1-11-12-22-2-11-11-11-11-11-1100003-3-333-3-333-3-330000-333-3-333-3-333-30000000000000000000000000000000000000000000000000000000000
χ1834-4-4-44-4444-2-2-2-2-44-42-222-222-222-442-22-22-22-22-24-4-22-22-22-2200-2111000000000000000000002-22-11-1-11-1-11-12-22-2-11-11-11-11-11-110000-333-3-333-3-333-300003-3-333-3-333-3-330000000000000000000000000000000000000000000000000000000000
χ1844-4-4-44-444-24-2-242-22-44-42-222-22-42-2-442-22-2-44-44-224-4-22-224-400-24-2-2000000000000000000002-22-44-42-222-222-22-2-44-442-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1854-4-4-44-444-24-2-2-22-22-44-42-222-2222-2-442-22-22-22-2-224-4-22-22-22001-21100000000000000000000-11-12-22-11-1-11-1-11-112-22-2-11-11-11-113-3-3300003-3-33-333-3-333-30000-333-33-3-330000000000000000000000000000000000000000000000000000000000
χ1864-4-4-44-444-24-2-2-22-22-44-42-222-2222-2-442-22-22-22-2-224-4-22-22-22001-21100000000000000000000-11-12-22-11-1-11-1-11-112-22-2-11-11-11-11-333-30000-333-33-3-333-3-3300003-3-33-333-30000000000000000000000000000000000000000000000000000000000
χ1874-4-4-44-444-2-24-242-222-22-44-42-22-42-22-2-442-2-44-44-22-224-4-224-400-2-24-2000000000000000000002-222-22-44-42-222-22-22-22-2-44-442-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1884-4-4-44-444-2-24-2-22-222-22-44-42-2222-22-2-442-22-22-2-22-224-4-22-220011-2100000000000000000000-11-1-11-12-22-11-1-11-11-11-112-22-2-11-113-3-33-333-300003-3-33-333-33-3-330000-333-30000000000000000000000000000000000000000000000000000000000
χ1894-4-4-44-444-2-24-2-22-222-22-44-42-2222-22-2-442-22-22-2-22-224-4-22-220011-2100000000000000000000-11-1-11-12-22-11-1-11-11-11-112-22-2-11-11-333-33-3-330000-333-33-3-33-333-300003-3-330000000000000000000000000000000000000000000000000000000000
χ1904-4-4-44-444-2-2-2442-222-222-22-44-4-42-22-22-2-44-44-44-22-22-224-44-400-2-2-24000000000000000000002-222-222-22-44-42-22-22-22-22-22-2-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1914-4-4-44-444-2-2-24-22-222-222-22-44-422-22-22-2-442-22-2-22-22-224-4-2200111-200000000000000000000-11-1-11-1-11-12-22-11-11-11-11-11-112-22-23-3-333-3-33-333-30000-333-3-333-33-3-3300000000000000000000000000000000000000000000000000000000000000
χ1924-4-4-44-444-2-2-24-22-222-222-22-44-422-22-22-2-442-22-2-22-22-224-4-2200111-200000000000000000000-11-1-11-1-11-12-22-11-11-11-11-11-112-22-2-333-3-333-33-3-3300003-3-333-3-33-333-300000000000000000000000000000000000000000000000000000000000000

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