Finite Group Databasebeta

← Group #13176777

Character table — Group #13176777

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
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χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
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χ904-444-2-2-20-4222-422−224-2-2-200-42220000022−22−22−22−2222−220000−2323−2323−23230000000000000022−22−22−22−22000000000−66−66−66000000000000000000000000000000000
χ914-444-2-2-20-4222-4−22224-2-2-200-422200000−22222−22−22−2−2222000023−2323−2323−2300000000000000−22222−22−22−2000000000−66−66−66000000000000000000000000000000000
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χ1044-44-2-2-240222-4-4−2222-2-2-2400222-4000002−22−22−2−2222−222200−2323−232323−2300000000000000002−22−22−2−222200000006−66−6−6600000000000000000000000000000000000
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χ1178-8-4-4-48-4044-84442−4222-4200-2-24-200000−2222−222242−42−2222−22220000000000000000000000002−22−2−22222−2000000000000000000000000000000000000000000000000
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χ1198-8-4-4-4-480444-8442−42222-400-2-2-2400000−2222−2222−222242−42−22220000000000000000000000002−22−22−2−2222000000000000000000000000000000000000000000000000
χ1208-8-4-4-4-480444-84−4242222-400-2-2-240000022−2222−2222−22−424222−22000000000000000000000000−22−22−2222−22000000000000000000000000000000000000000000000000

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