Finite Group Databasebeta

← Group #13175395

Character table — Group #13175395

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
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χ19144-2-2-24-2-4-2-2-24-2111-2111-2222-42-1-1-1-1-1-12200000000000000000−4i−4i2i2i2i−4i2i4i2i2i2i−4i2i−i−i−i2i−i−i−i2i−2i−2i−2i4i−2iiiiiii−2i−2i00000000000000000-4-4222-424222-42-1-1-12-1-1-12-2-2-24-2111111-2-2000000000000000004i4i−2i−2i−2i4i−2i−4i−2i−2i−2i4i−2iiii−2iiii−2i2i2i2i−4i2i−i−i−i−i−i−i2i2i00000000000000000
χ1924-44444-20-4-4-4-42-2-2-2-22222000000000000000000000000000000−4i4i−4i−4i−4i−4i2i04i4i4i4i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000-44-4-4-4-4204444-22222-2-2-2-20000000000000000000000000000004i−4i4i4i4i4i−2i0−4i−4i−4i−4i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000
χ1934-44-2-2-240-4222-44-2-2-2-4222000000000000000000000000000000−4i4i−4i2i2i2i−4i04i−2i−2i−2i4i−4i2i2i2i4i−2i−2i−2i000000000000000000000000000000-44-4222-404-2-2-24-42224-2-2-20000000000000000000000000000004i−4i4i−2i−2i−2i4i0−4i2i2i2i−4i4i−2i−2i−2i−4i2i2i2i000000000000000000000000000000
χ1944-44-2-2-2-20-42222-21112-1-1-100000003i−3i3i−3i3i−3i00000000000000000−4i4i−4i2i2i2i2i04i−2i−2i−2i−2i2i−i−i−i−2iiii00000003-33-33-300000000000000000-44-4222204-2-2-2-22-1-1-1-21110000000−3i3i−3i3i−3i3i000000000000000004i−4i4i−2i−2i−2i−2i0−4i2i2i2i2i−2iiii2i−i−i−i0000000-33-33-3300000000000000000
χ1954-44-2-2-2-20-42222-21112-1-1-10000000−3i3i−3i3i−3i3i00000000000000000−4i4i−4i2i2i2i2i04i−2i−2i−2i−2i2i−i−i−i−2iiii0000000-33-33-3300000000000000000-44-4222204-2-2-2-22-1-1-1-211100000003i−3i3i−3i3i−3i000000000000000004i−4i4i−2i−2i−2i−2i0−4i2i2i2i2i−2iiii2i−i−i−i00000003-33-33-300000000000000000
χ1964-4-24-2-2402-422-4-24-2-22-422000000000000000000000000000000−4i4i2i−4i2i2i−4i0−2i4i−2i−2i4i2i−4i2i2i−2i4i−2i−2i000000000000000000000000000000-442-422-40-24-2-242-422-24-2-20000000000000000000000000000004i−4i−2i4i−2i−2i4i02i−4i2i2i−4i−2i4i−2i−2i2i−4i2i2i000000000000000000000000000000
χ1974-4-24-2-2-202-42221-211-12-1-1000003i−3i003i−3i−3i3i00000000000000000−4i4i2i−4i2i2i2i0−2i4i−2i−2i−2i−i2i−i−ii−2iii000003-3003-3-3300000000000000000-442-42220-24-2-2-2-12-1-11-21100000−3i3i00−3i3i3i−3i000000000000000004i−4i−2i4i−2i−2i−2i02i−4i2i2i2ii−2iii−i2i−i−i00000-3300-333-300000000000000000
χ1984-4-24-2-2-202-42221-211-12-1-100000−3i3i00−3i3i3i−3i00000000000000000−4i4i2i−4i2i2i2i0−2i4i−2i−2i−2i−i2i−i−ii−2iii00000-3300-333-300000000000000000-442-42220-24-2-2-2-12-1-11-211000003i−3i003i−3i−3i3i000000000000000004i−4i−2i4i−2i−2i−2i02i−4i2i2i2ii−2iii−i2i−i−i000003-3003-3-3300000000000000000
χ1994-4-2-24-24022-42-4-2-24-222-42000000000000000000000000000000−4i4i2i2i−4i2i−4i0−2i−2i4i−2i4i2i2i−4i2i−2i−2i4i−2i000000000000000000000000000000-4422-42-40-2-24-2422-42-2-24-20000000000000000000000000000004i−4i−2i−2i4i−2i4i02i2i−4i2i−4i−2i−2i4i−2i2i2i−4i2i000000000000000000000000000000
χ2004-4-2-24-2-2022-42211-21-1-12-1000003i−3i−3i3i003i−3i00000000000000000−4i4i2i2i−4i2i2i0−2i−2i4i−2i−2i−i−i2i−iii−2ii000003-3-33003-300000000000000000-4422-4220-2-24-2-2-1-12-111-2100000−3i3i3i−3i00−3i3i000000000000000004i−4i−2i−2i4i−2i−2i02i2i−4i2i2iii−2ii−i−i2i−i00000-333-300-3300000000000000000
χ2014-4-2-24-2-2022-42211-21-1-12-100000−3i3i3i−3i00−3i3i00000000000000000−4i4i2i2i−4i2i2i0−2i−2i4i−2i−2i−i−i2i−iii−2ii00000-333-300-3300000000000000000-4422-4220-2-24-2-2-1-12-111-21000003i−3i−3i3i003i−3i000000000000000004i−4i−2i−2i4i−2i−2i02i2i−4i2i2iii−2ii−i−i2i−i000003-3-33003-300000000000000000
χ2024-4-2-2-2440222-4-4-2-2-24222-4000000000000000000000000000000−4i4i2i2i2i−4i−4i0−2i−2i−2i4i4i2i2i2i−4i−2i−2i−2i4i000000000000000000000000000000-44222-4-40-2-2-244222-4-2-2-240000000000000000000000000000004i−4i−2i−2i−2i4i4i02i2i2i−4i−4i−2i−2i−2i4i2i2i2i−4i000000000000000000000000000000
χ2034-4-2-2-24-20222-42111-2-1-1-12000003i−3i3i−3i−3i3i0000000000000000000−4i4i2i2i2i−4i2i0−2i−2i−2i4i−2i−i−i−i2iiii−2i000003-33-3-330000000000000000000-44222-420-2-2-24-2-1-1-12111-200000−3i3i−3i3i3i−3i00000000000000000004i−4i−2i−2i−2i4i−2i02i2i2i−4i2iiii−2i−i−i−i2i00000-33-333-30000000000000000000
χ2044-4-2-2-24-20222-42111-2-1-1-1200000−3i3i−3i3i3i−3i0000000000000000000−4i4i2i2i2i−4i2i0−2i−2i−2i4i−2i−i−i−i2iiii−2i00000-33-333-30000000000000000000-44222-420-2-2-24-2-1-1-12111-2000003i−3i3i−3i−3i3i00000000000000000004i−4i−2i−2i−2i4i−2i02i2i2i−4i2iiii−2i−i−i−i2i000003-33-3-330000000000000000000

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