Finite Group Databasebeta

← Group #13177417

Character table — Group #13177417

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
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χ1374-44-44-24-2-200-224-4-22-224-42-422-44i−4i4i−4i00-24-2-20000000000000000-224-4-22-222-422000000000000−2i2i−2i2i4i−4i4i−4i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000
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χ1394-44-44-2-24-200-22-224-4-224-422-42-44i−4i4i−4i00-2-24-20000000000000000-22-224-4-2222-42000000000000−2i2i−2i2i−2i2i−2i2i4i−4i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000
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χ1504-4-444-2-24-2002-22-2-442-2-4422-42-4−4i4i4i−4i00-2-24-200000000000000002-22-2-442-222-420000000000002i−2i−2i2i2i−2i−2i2i−4i4i4i−4i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000
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χ1558-88-8-48-4-4-4008-8-44-44-44-44-84444000000-42220000000000000000-442-22-22-24-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-88-8-4-48-4-400-448-8-44-44-444-84440000002-42200000000000000002-2-442-22-2-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1578-88-8-4-4-48-400-44-448-8-44-4444-84400000022-4200000000000000002-22-2-442-2-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1588-88-8-4-4-4-4800-44-44-448-8-44444-84000000222-400000000000000002-22-22-2-44-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1628-8-88-4-4-4-48004-44-44-4-884-4444-84000000222-40000000000000000-22-22-224-4-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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