Finite Group Databasebeta

← Group #13166323

Character table — Group #13166323

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122224444444466888888889999121212121212121218181818181818181818181818181818545454545454111122224444444466888888889999121212121212121218181818181818181818181818181818545454545454
order12443612123366121212128833661212121222442424242424242424668888121224242424242424244444882244661212666612121212886666121212122244242424242424242466888812122424242424242424444488
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χ311111111111111111111111111-1-1-1-111111111-1-1ii−i−i-1-1iiii−i−i−i−iii−i−i-1-111111111111111111111111111-1-1-1-111111111-1-1ii−i−i-1-1iiii−i−i−i−iii−i−i-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1−i−iii-1-1−i−i−i−iiiii−i−iii-1-111111111111111111111111111-1-1-1-111111111-1-1−i−iii-1-1−i−i−i−iiiii−i−iii-1-1
χ51111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ61111111111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.