Finite Group Databasebeta

← Group #13139967

Character table — Group #13139967

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111111112222222266666666666666661212121212121212181818181818181818181818181818181818181818181818181818181818181818181818111111112222222266666666666666661212121212121212181818181818181818181818181818181818181818181818181818181818181818181818
order1222444436661212121233666666121212121212121236661212121244448888888812121212121212122424242424242424242424242424242422224444666612121212666666661212121212121212666612121212444488888888121212121212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
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χ1111-1-111-1-11-1-1111-1-111-1-111-1-111-1-1-1-1111-1-1111-1-1−ii−iii−ii−i-11-11−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-111-1-11-1-1111-1-111-1-111-1-111-1-1-1-1111-1-1111-1-1−ii−iii−ii−i-11-11−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
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χ1411-1-1-1-1111-1-11-1-11111-1-111-1-1-1-11111-1-11-1-11-1-111i−i−ii-111-1i−i−iiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii11-1-1-1-1111-1-11-1-11111-1-111-1-1-1-11111-1-11-1-11-1-111i−i−ii-111-1i−i−iiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
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χ2822-2-222-2-22-2-2222-2-2-1211-12-2-22211-2-2-1-1-111-1-1-11100000000-22-22000000000000000011-1-111-1-122-2-222-2-22-2-2222-2-2-1211-12-2-22211-2-2-1-1-111-1-1-11100000000-22-22000000000000000011-1-111-1-1
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.