Finite Group Databasebeta

← Group #13177295

Character table — Group #13177295

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
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χ1954-404-2-2-2-2-42222-2111000002-1-1-100-33-33-3300000000000000000−4i4i0−4i2i2i2i2i4i−2i−2i−2i−2i2i−i−i−i00000−2iiii003i−3i3i−3i3i−3i00000000000000000-440-422224-2-2-2-22-1-1-100000-2111003-33-33-3000000000000000004i−4i04i−2i−2i−2i−2i−4i2i2i2i2i−2iiii000002i−i−i−i00−3i3i−3i3i−3i3i00000000000000000
χ1964-40-24-2-242-422-4-24-2-2000002-4220000000000000000000000000−4i4i02i−4i2i2i−4i−2i4i−2i−2i4i2i−4i2i2i00000−2i4i−2i−2i0000000000000000000000000-4402-422-4-24-2-242-42200000-24-2-200000000000000000000000004i−4i0−2i4i−2i−2i4i2i−4i2i2i−4i−2i4i−2i−2i000002i−4i2i2i0000000000000000000000000
χ1974-40-24-2-2-22-42221-21100000-12-1-13-3003-3-3300000000000000000−4i4i02i−4i2i2i2i−2i4i−2i−2i−2i−i2i−i−i00000i−2iii−3i3i00−3i3i3i−3i00000000000000000-4402-4222-24-2-2-2-12-1-1000001-211-3300-333-3000000000000000004i−4i0−2i4i−2i−2i−2i2i−4i2i2i2ii−2iii00000−i2i−i−i3i−3i003i−3i−3i3i00000000000000000
χ1984-40-24-2-2-22-42221-21100000-12-1-1-3300-333-300000000000000000−4i4i02i−4i2i2i2i−2i4i−2i−2i−2i−i2i−i−i00000i−2iii3i−3i003i−3i−3i3i00000000000000000-4402-4222-24-2-2-2-12-1-1000001-2113-3003-3-33000000000000000004i−4i0−2i4i−2i−2i−2i2i−4i2i2i2ii−2iii00000−i2i−i−i−3i3i00−3i3i3i−3i00000000000000000
χ1994-40-2-24-2422-42-4-2-24-20000022-420000000000000000000000000−4i4i02i2i−4i2i−4i−2i−2i4i−2i4i2i2i−4i2i00000−2i−2i4i−2i0000000000000000000000000-44022-42-4-2-24-2422-4200000-2-24-200000000000000000000000004i−4i0−2i−2i4i−2i4i2i2i−4i2i−4i−2i−2i4i−2i000002i2i−4i2i0000000000000000000000000
χ2004-40-2-24-2-222-42211-2100000-1-12-13-3-33003-300000000000000000−4i4i02i2i−4i2i2i−2i−2i4i−2i−2i−i−i2i−i00000ii−2ii−3i3i3i−3i00−3i3i00000000000000000-44022-422-2-24-2-2-1-12-10000011-21-333-300-33000000000000000004i−4i0−2i−2i4i−2i−2i2i2i−4i2i2iii−2ii00000−i−i2i−i3i−3i−3i3i003i−3i00000000000000000
χ2014-40-2-24-2-222-42211-2100000-1-12-1-333-300-3300000000000000000−4i4i02i2i−4i2i2i−2i−2i4i−2i−2i−i−i2i−i00000ii−2ii3i−3i−3i3i003i−3i00000000000000000-44022-422-2-24-2-2-1-12-10000011-213-3-33003-3000000000000000004i−4i0−2i−2i4i−2i−2i2i2i−4i2i2iii−2ii00000−i−i2i−i−3i3i3i−3i00−3i3i00000000000000000
χ2024-40-2-2-244222-4-4-2-2-2400000222-40000000000000000000000000−4i4i02i2i2i−4i−4i−2i−2i−2i4i4i2i2i2i−4i00000−2i−2i−2i4i0000000000000000000000000-440222-4-4-2-2-244222-400000-2-2-2400000000000000000000000004i−4i0−2i−2i−2i4i4i2i2i2i−4i−4i−2i−2i−2i4i000002i2i2i−4i0000000000000000000000000
χ2034-40-2-2-24-2222-42111-200000-1-1-123-33-3-330000000000000000000−4i4i02i2i2i−4i2i−2i−2i−2i4i−2i−i−i−i2i00000iii−2i−3i3i−3i3i3i−3i0000000000000000000-440222-42-2-2-24-2-1-1-1200000111-2-33-333-300000000000000000004i−4i0−2i−2i−2i4i−2i2i2i2i−4i2iiii−2i00000−i−i−i2i3i−3i3i−3i−3i3i0000000000000000000
χ2044-40-2-2-24-2222-42111-200000-1-1-12-33-333-30000000000000000000−4i4i02i2i2i−4i2i−2i−2i−2i4i−2i−i−i−i2i00000iii−2i3i−3i3i−3i−3i3i0000000000000000000-440222-42-2-2-24-2-1-1-1200000111-23-33-3-3300000000000000000004i−4i0−2i−2i−2i4i−2i2i2i2i−4i2iiii−2i00000−i−i−i2i−3i3i−3i3i3i−3i0000000000000000000

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