Finite Group Databasebeta

← Group #13158981

Character table — Group #13158981

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
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χ16922-12222-22222-1-1-1-1-1-1-1-1-1-2-2-2-21111111110000000000i3−i300−2i−2ii−2i−2i−2i−2i2i−2i−2i−2i−2iiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i00000000003−300-2-21-2-2-2-22-2-2-2-21111111112222-1-1-1-1-1-1-1-1-10000000000−i3i3002i2i−i2i2i2i2i−2i2i2i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiii0000000000−3300
χ1702-2222220-2-2-2-2-22222-2-2-2-20000000000000000000000000−i2i2−2i2i−2i−2i−2i−2i−2i02i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000−22-22-2-2-2-2-2022222-2-2-2-222220000000000000000000000000i2−i22i−2i2i2i2i2i2i0−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000002−2
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χ17544-2-24-2-2-4-24-2-2-21-2111-2112-4222-1-122-1-1-1-100000000000000−4i−4i2i2i−4i2i2i4i2i−4i2i2i2i−i2i−i−i−i2i−i−i−2i4i−2i−2i−2iii−2i−2iiiii00000000000000-4-422-42242-4222-12-1-1-12-1-1-24-2-2-211-2-21111000000000000004i4i−2i−2i4i−2i−2i−4i−2i4i−2i−2i−2ii−2iiii−2iii2i−4i2i2i2i−i−i2i2i−i−i−i−i00000000000000
χ17644-2-2-24-24-2-24-2-211-2111-21-2-24-2-21111-2-21100000000000000−4i−4i2i2i2i−4i2i−4i2i2i−4i2i2i−i−i2i−i−i−i2i−i2i2i−4i2i2i−i−i−i−i2i2i−i−i00000000000000-4-4222-42-422-422-1-12-1-1-12-122-422-1-1-1-122-1-1000000000000004i4i−2i−2i−2i4i−2i4i−2i−2i4i−2i−2iii−2iiii−2ii−2i−2i4i−2i−2iiiii−2i−2iii00000000000000
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χ1834-44-2-2-240222-4-4-2-2-24222-4000000000000000000000000000−4i4i−4i2i2i2i−4i0−2i−2i−2i4i4i2i2i2i−4i−2i−2i−2i4i000000000000000000000000000-44-4222-40-2-2-244222-4-2-2-240000000000000000000000000004i−4i4i−2i−2i−2i4i02i2i2i−4i−4i−2i−2i−2i4i2i2i2i−4i000000000000000000000000000
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χ1924-4-2-2-2-240222-42111-2-1-1-1200000−3i3i−3i3i3i−3i0000000000000000−4i4i2i2i2i2i−4i0−2i−2i−2i4i−2i−i−i−i2iiii−2i00000-33-333-30000000000000000-442222-40-2-2-24-2-1-1-12111-2000003i−3i3i−3i−3i3i00000000000000004i−4i−2i−2i−2i−2i4i02i2i2i−4i2iiii−2i−i−i−i2i000003-33-3-330000000000000000

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