Finite Group Databasebeta

← Group #13161439

Character table — Group #13161439

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
χ8111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111111111-1-1
χ911-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−ii−iii−i−iii−i−i11-1-11-1
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χ1111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−ii−iii−i−iii−i−i-1-111-11
χ1211-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−ii−i−iii−i−iii11-1-11-1
χ1311-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−iiii−i−i−i−iii11-1-1-11
χ1411-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiii−i−i−iiiii−i−i-1-1111-1
χ1511-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−iiii−i−i−i−iii-1-1111-1
χ1611-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiii−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiii−i−i−iiiii−i−i11-1-1-11
χ17222222222222-1222222222222-1-1-122222222-1-122222222-1-122-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000222222-1-1-1-1-1-1-1-1000000
χ18222222222222-1222222222222-1-1-122222222-1-122222222-1-122-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000-2-2-2-2-2-211111111000000
χ19222222222222-1222222222222-1-1-122222222-1-122222222-1-1-2-2-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000000000000000000000000000002222-2-2-1-1-1-11111000000
χ20222222222222-1222222222222-1-1-122222222-1-122222222-1-1-2-2-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000000000000000000000000000-2-2-2-2221111-1-1-1-1000000
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χ1754-4-44-44-44-24-2-2-222-2-4-4422-222-222-222-4-422222-2-2-244-2-2-2-2-22001-211−2i32i300−2i32i32i3−2i3002i3−2i3002i3−2i3−2i32i300-1-1122-2-1-11-1-11-111-12-2-22-111-1-111-1i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1764-4-44-44-44-24-2-2-222-2-4-4422-222-222-222-4-422222-2-2-244-2-2-2-2-22001-2112i3−2i3002i3−2i3−2i32i300−2i32i300−2i32i32i3−2i300-1-1122-2-1-11-1-11-111-12-2-22-111-1-111-1−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1774-4-44-44-44-2-24-2-222-222-2-4-4422-222-22222-4-4222-2-2-2-2-244-2-2-220011-21−2i32i32i3−2i300−2i32i3002i3−2i3−2i32i3002i3−2i300-1-11-1-1122-2-1-11-111-1-111-12-2-22-111-1i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1784-4-44-44-44-2-24-2-222-222-2-4-4422-222-22222-4-4222-2-2-2-2-244-2-2-220011-212i3−2i3−2i32i3002i3−2i300−2i32i32i3−2i300−2i32i300-1-11-1-1122-2-1-11-111-1-111-12-2-22-111-1−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1794-4-44-44-44-2-2-24-222-222-222-2-4-4422-2222222-4-42-2-2-2-2-2-2-244-2200111-2−2i32i3−2i32i32i3−2i300002i3−2i32i3−2i3−2i32i30000-1-11-1-11-1-1122-2-111-1-111-1-111-12-2-22i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000000000000000000000
χ1804-4-44-44-44-2-2-24-222-222-222-2-4-4422-2222222-4-42-2-2-2-2-2-2-244-2200111-22i3−2i32i3−2i3−2i32i30000−2i32i3−2i32i32i3−2i30000-1-11-1-11-1-1122-2-111-1-111-1-111-12-2-22−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000000000000000000000
χ1814-4-4-4444-44-2-2-24-44-42-222-222-22-44-4-442-22-22-2-4-44-4-22-22-2244004-2-2-200000000000000000000-44-42-222-222-22-44-442-22-22-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1824-4-4-4444-44-2-2-2-2-44-42-222-222-222-22-442-22-22-2224-4-22-22-22-2-200-211100000000−2i32i3000000002i3−2i32-22-11-1-11-1-11-12-22-2-11-11-11-11-11-11−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ1834-4-4-4444-44-2-2-2-2-44-42-222-222-222-22-442-22-22-2224-4-22-22-22-2-200-2111000000002i3−2i300000000−2i32i32-22-11-1-11-1-11-12-22-2-11-11-11-11-11-112i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1844-4-4-4444-4-24-2-242-22-44-42-222-22-44-42-2-442-22-2-4-4-224-4-22-224400-24-2-2000000000000000000002-22-44-42-222-222-22-2-44-442-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1854-4-4-4444-4-24-2-2-22-22-44-42-222-222-222-2-442-22-222-224-4-22-22-2-2001-21100000000−2i32i3000000002i3−2i3-11-12-22-11-1-11-1-11-112-22-2-11-11-11-11i3i3−i3−i3−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ1864-4-4-4444-4-24-2-2-22-22-44-42-222-222-222-2-442-22-222-224-4-22-22-2-2001-211000000002i3−2i300000000−2i32i3-11-12-22-11-1-11-1-11-112-22-2-11-11-11-11−i3−i3i3i32i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1874-4-4-4444-4-2-24-242-222-22-44-42-22-44-42-22-2-442-2-4-4-22-224-4-224400-2-24-2000000000000000000002-222-22-44-42-222-22-22-22-2-44-442-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1884-4-4-4444-4-2-24-2-22-222-22-44-42-222-222-22-2-442-222-22-224-4-22-2-20011-2100000000−2i32i3000000002i3−2i3-11-1-11-12-22-11-1-11-11-11-112-22-2-11-11i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ1894-4-4-4444-4-2-24-2-22-222-22-44-42-222-222-22-2-442-222-22-224-4-22-2-20011-21000000002i3−2i300000000−2i32i3-11-1-11-12-22-11-1-11-11-11-112-22-2-11-11−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1904-4-4-4444-4-2-2-2442-222-222-22-44-4-44-42-22-22-2-44-4-4-22-22-224-44400-2-2-24000000000000000000002-222-222-22-44-42-22-22-22-22-22-2-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1914-4-4-4444-4-2-2-24-22-222-222-22-44-42-222-22-22-2-4422-22-22-224-4-2-200111-200000000−2i32i3000000002i3−2i3-11-1-11-1-11-12-22-11-11-11-11-11-112-22-2i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000000
χ1924-4-4-4444-4-2-2-24-22-222-222-22-44-42-222-22-22-2-4422-22-22-224-4-2-200111-2000000002i3−2i300000000−2i32i3-11-1-11-1-11-12-22-11-11-11-11-11-112-22-2−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000000

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