Finite Group Databasebeta

← Group #13172318

Character table — Group #13172318

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111111111111-1111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1111111111111111111111111111111111-1111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ511111111111111111111111111111111-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-111111111111111111111111111111111-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1
χ611111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111
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χ1394-4-44-2-24-22-2-44222-41-2-2-112-222-2-121-1-110000000000023−23000000−33−3300000000000000000-444-422-42-224-4-2-2-24-1221-1-22-2-221-2-111-100000000000−23230000003−33−300000000000000000
χ1404-4-44-2-24-22-2-44222-41-2-2-112-222-2-121-1-1100000000000−23230000003−33−300000000000000000-444-422-42-224-4-2-2-24-1221-1-22-2-221-2-111-10000000000023−23000000−33−3300000000000000000
χ1418888-4-4-4-4-4-4-4-4-4-4-4-4222222222222-1-1-1-10000000000000000000000000000000000000000-8-8-8-8444444444444-2-2-2-2-2-2-2-2-2-2-2-211110000000000000000000000000000000000000000
χ14288-8-8-4-4-44-4444-444-42222-2-2-22-2-2-22-1-1110000000000000000000000000000000000000000-8-888444-44-4-4-44-4-44-2-2-2-2222-2222-211-1-10000000000000000000000000000000000000000
χ1438-88-8-4-4-4444-444-4-44222-2-22-2-22-22-2-11-110000000000000000000000000000000000000000-88-88444-4-4-44-4-444-4-2-2-222-222-22-221-11-10000000000000000000000000000000000000000
χ1448-8-88-4-4-4-44-44-44444222-22-22-2-22-2-2-111-10000000000000000000000000000000000000000-888-84444-44-44-4-4-4-4-2-2-22-22-222-2221-1-110000000000000000000000000000000000000000

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