Finite Group Databasebeta

← Group #13177653

Character table — Group #13177653

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size1111222222222222222222224444444444444444444444444444466668888888888888888888888888888888888121212121212121212121212121212121212181818182424242424242424363636363636545454547272108108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111-11111-111111111111111111111-1-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-1-11
χ61111111111111111111111111-11111-111111111111111111111-1-11111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-111-1
χ71111111111111111111111111-11111-111111111111111111111-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-111-1-1-1-1111-11-1
χ81111111111111111111111111-11111-111111111111111111111-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-11111-1-1-11-11
χ9111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1111
χ10111111111111111111111111-111111-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-11111111-1-1-1
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χ2322222222-12222-122222222-1-1-2-2-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-21111111111111111112222-1-1-1-1-1-1-1-1000000000000000000222200000000-2-2-1-1-1-100001100
χ2422222222-12222-122222222-1-1-2-2-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-21111111111111111112222-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2000000002211110000-1-100
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χ12888-8-88-4-4-4-48-4-4-44-8444-8444-4400-4222000000000-442-22-22-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1358-8-88-4-4-48-4444-84444-8-4-4-484-400222-4000000000-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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