Finite Group Databasebeta

← Group #13163504

Character table — Group #13163504

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
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χ61111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-11
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χ1722222-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111112-222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2-2-2-2-21111111111110000000000
χ1822222-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-22-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
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χ2422222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2111111111111111111-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-20000000000
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χ1884-44-4-2-2-24-24-24-2-2-2-2400222-42-42-42222-42-22-22-2-442-2-442-2-442-22-22-22-2-44−2i22i2−2i22i200000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000000000
χ1894-44-4-2-2-24-24-24-2-2-2-2400222-42-42-42222-42-22-22-2-442-2-442-2-442-22-22-22-2-442i2−2i22i2−2i200000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000000000
χ1904-44-4-2-2-24-2-24-24-24-2-200222-422-42-42-4222-22-22-2-442-22-2-442-2-442-2-442-22-2−2i22i2−2i22i200000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000000000000000000000000000000000000
χ1914-44-4-2-2-24-2-24-24-24-2-200222-422-42-42-4222-22-22-2-442-22-2-442-2-442-2-442-22-22i2−2i22i2−2i200000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000000000000000000000000000000000000
χ1924-4-444444-2-2-2-2-2-2-2-2-24-44444-2-2-2-2-2-2-2-2-2-4-4-4-4-4-4-4-422222222222222222200004444-2-2-2-2-2-2-2-2-2-4-4-4-422222222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1934-4-444-2-2-2444-2-2-2-2-2-24-44-2-2-2444-2-2-2-2-2-2-4-4222222-4-4-4-4-4-422222222222200004-2-2-2444-2-2-2-2-2-2-4222-4-4-422222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1944-4-444-2-2-2-2-2-2444-2-2-24-44-2-2-2-2-2-2444-2-2-2-4-4222222222222-4-4-4-4-4-422222200004-2-2-2-2-2-2444-2-2-2-4222222-4-4-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1954-4-444-2-2-2-2-2-2-2-2-24444-44-2-2-2-2-2-2-2-2-2444-4-4222222222222222222-4-4-4-4-4-400004-2-2-2-2-2-2-2-2-2444-4222222222-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1964-4-44-24-2-24-2-24-2-24-2-24-4-24-2-24-2-24-2-24-2-222-4-42222-4-42222-4-42222-4-422220000-24-2-24-2-24-2-24-2-22-422-422-422-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1974-4-44-24-2-2-24-2-24-2-24-24-4-24-2-2-24-2-24-2-24-222-4-4222222-4-42222-4-42222-4-4220000-24-2-2-24-2-24-2-24-22-4222-422-422-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1984-4-44-24-2-2-2-24-2-24-2-244-4-24-2-2-2-24-2-24-2-2422-4-422222222-4-42222-4-42222-4-40000-24-2-2-2-24-2-24-2-242-42222-422-422-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1994-4-44-2-24-24-2-2-24-2-2-244-4-2-24-24-2-2-24-2-2-242222-4-422-4-4222222-4-4222222-4-40000-2-24-24-2-2-24-2-2-2422-42-4222-4222-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2004-4-44-2-24-2-24-2-2-244-2-24-4-2-24-2-24-2-2-244-2-22222-4-42222-4-4222222-4-4-4-422220000-2-24-2-24-2-2-244-2-222-422-4222-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2014-4-44-2-24-2-2-244-2-2-24-24-4-2-24-2-2-244-2-2-24-22222-4-4222222-4-4-4-4222222-4-4220000-2-24-2-2-244-2-2-24-222-4222-4-4222-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2024-4-44-2-2-244-2-2-2-24-24-24-4-2-2-244-2-2-2-24-24-2222222-4-4-4-422222222-4-422-4-4220000-2-2-244-2-2-2-24-24-2222-4-42222-42-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2034-4-44-2-2-24-24-24-2-2-2-244-4-2-2-24-24-24-2-2-2-24222222-4-422-4-422-4-422222222-4-40000-2-2-24-24-24-2-2-2-24222-42-42-42222-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2044-4-44-2-2-24-2-24-24-24-2-24-4-2-2-24-2-24-24-24-2-2222222-4-42222-4-422-4-422-4-422220000-2-2-24-2-24-24-24-2-2222-422-42-42-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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