Finite Group Databasebeta

← Group #13160464

Character table — Group #13160464

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444666612121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363654545454108108
order12222222333336666666666666666666666666666666666633334466666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444412121212121212121212121212121212121212121212121212121212121212124444441212121212121212444444
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
χ51111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-111
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χ911-11-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−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
χ1011-11-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-11-1-111-1-111−i−iii−ii
χ1111-11-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−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
χ1211-11-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−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
χ1311-11-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−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
χ1411-11-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−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
χ1511-11-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−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
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χ17222222222222-122222222-122222222-1-1-1-12222-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000222222-1-1-1-1-1-1-1-1000000
χ18222222222222-122222222-122222222-1-1-1-12222-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000-2-2-2-2-2-211111111000000
χ19222222222222-122222222-122222222-1-1-1-12222-122222222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2-2-2-2-21111111111111111111111111111111111000000000000000000000000000000000000002222-2-2-1-1-1-11111000000
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χ38222-22-2-2-2222222-22-22-22-222-22-22-22-222-2-2-2-2-2-2-22-22-22-22-2-22222002-22-22-22-222-2-222-2-222-2-222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-22-2200-22-22-22-22-22-22-22-22000000000000000000000000000000000000
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χ1844-4-4-444-44-24-2-242-2-442-22-2-422-4-42222-444-42-422-4-2-244-2-2-2-24-24-2-2002-2-442-22-22-2-22-444-42-2-222-2-222-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1854-4-4-444-44-24-2-2-22-2-442-22-2222-4-422222-2-222-4222-2-244-2-2-2-2-21-21100-112-2-11-11-111-12-2-22-111-1-111-1-12-1-1000000000000000000003i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1864-4-4-444-44-24-2-2-22-2-442-22-2222-4-422222-2-222-4222-2-244-2-2-2-2-21-21100-112-2-11-11-111-12-2-22-111-1-111-1-12-1-100000000000000000000−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1874-4-4-444-44-2-24-242-22-2-442-2-42222-4-422-444-422-42-4-2-2-2-244-2-24-2-24-2002-22-2-442-22-2-222-2-22-444-42-2-2222-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1884-4-4-444-44-2-24-2-22-22-2-442-222222-4-4222-2-2222-422-2-2-2-244-2-2-211-2100-11-112-2-11-111-1-111-12-2-22-111-1-1-12-1000000000000000000003i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1894-4-4-444-44-2-24-2-22-22-2-442-222222-4-4222-2-2222-422-2-2-2-244-2-2-211-2100-11-112-2-11-111-1-111-12-2-22-111-1-1-12-100000000000000000000−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1904-4-4-444-44-2-2-2442-22-22-2-44-4222222-4-4-444-4222-4-4-2-2-2-2-2-2444-2-2-24002-22-22-2-442-2-222-2-222-2-22-444-4222-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1914-4-4-444-44-2-2-24-22-22-22-2-442222222-4-42-2-22222-42-2-2-2-2-2-244-2111-200-11-11-112-2-111-1-111-1-111-12-2-22-1-1-12000000000000000000003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000000000000000000000
χ1924-4-4-444-44-2-2-24-22-22-22-2-442222222-4-42-2-22222-42-2-2-2-2-2-244-2111-200-11-11-112-2-111-1-111-1-111-12-2-22-1-1-1200000000000000000000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000000

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