Finite Group Databasebeta

← Group #72319029

Character table — Group #72319029

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184
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order1244222222222222222444444444444444888822224444444444444444444488888888888888888888888888888822442222222222222224444444444444448888222244444444444444444444888888888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111
χ9111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ12111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ13111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ14111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ15111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ16111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1711111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11-11-11-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11-11-11-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1811111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ1911111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ2011111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-11-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-11-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ2111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-11-11-11-11-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-11-11-11-11-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ2211111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-11-11-11-11-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-11-11-11-11-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ2311111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-11-11-11-1111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-11-11-11-1111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ2411111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-11111-1-11111-1-111-1-111-1-111-1-111-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-11111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1
χ2511111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ2611111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ2711111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ2811111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ2911111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ3011111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-11-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-11-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ3111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ3211111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
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χ16522-2-2-22-22-22-22-2-22-222-2-22-22-22-22-222-22-220000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000-2-2222-22-22-22-222-22-2-222-22-22-22-22-2-22-22-2000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
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χ16722-2-2-22-22-2-22-222-22-22-2-22-22-222-22-2-22-2220000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000-2-2222-22-222-22-2-22-22-222-22-22-2-22-222-22-2-2000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ16822-2-2-22-22-2-22-222-22-22-2-22-22-222-22-2-22-222000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000-2-2222-22-222-22-2-22-22-222-22-22-2-22-222-22-2-20000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ16922-2-2-22-2-222-2-22-222-2-222-2-222-2-222-22-2-22200000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000-2-2222-222-2-222-22-2-222-2-222-2-222-2-22-222-2-20000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ17022-2-2-22-2-222-2-22-222-2-222-2-222-2-222-22-2-2220000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000-2-2222-222-2-222-22-2-222-2-222-2-222-2-22-222-2-200000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ17122-2-2-22-2-22-222-22-2-22-222-2-222-22-2-22-222-2200000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000-2-2222-222-22-2-22-222-22-2-222-2-22-222-22-2-22-20000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ17222-2-2-22-2-22-222-22-2-22-222-2-222-22-2-22-222-220000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000-2-2222-222-22-2-22-222-22-2-222-2-22-222-22-2-22-200000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ17322-2-2-2-222-22-2-222-2-22-222-22-2-22-222-2-222-2200000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000-2-22222-2-22-222-2-222-22-2-22-222-22-2-222-2-22-20000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ17422-2-2-2-222-22-2-222-2-22-222-22-2-22-222-2-222-220000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000-2-22222-2-22-222-2-222-22-2-22-222-22-2-222-2-22-200000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ17522-2-2-2-222-2-222-2-222-2-222-22-2-222-2-222-2-22200000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000-2-22222-2-222-2-222-2-222-2-22-222-2-222-2-222-2-20000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ17622-2-2-2-222-2-222-2-222-2-222-22-2-222-2-222-2-2220000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000-2-22222-2-222-2-222-2-222-2-22-222-2-222-2-222-2-200000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ17722-2-2-2-22-222-22-22-22-22-2-222-22-2-22-22-22-2220000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000-2-22222-22-2-22-22-22-22-222-2-22-222-22-22-22-2-2000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ17822-2-2-2-22-222-22-22-22-22-2-222-22-2-22-22-22-222000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000-2-22222-22-2-22-22-22-22-222-2-22-222-22-22-22-2-20000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ17922-2-2-2-22-22-22-22-22-222-2-222-22-22-22-22-22-220000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000-2-22222-22-22-22-22-22-2-222-2-22-22-22-22-22-22-2000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ18022-2-2-2-22-22-22-22-22-222-2-222-22-22-22-22-22-22000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000-2-22222-22-22-22-22-22-2-222-2-22-22-22-22-22-22-20000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ1818-88i−8i0000000000000000000000000000004ζ−4ζ4ζ3−4ζ3000000000000000000000000000000000000000000000000000000-88−8i8i000000000000000000000000000000−4ζ4ζ−4ζ34ζ3000000000000000000000000000000000000000000000000000000
χ1828-88i−8i000000000000000000000000000000−4ζ4ζ−4ζ34ζ3000000000000000000000000000000000000000000000000000000-88−8i8i0000000000000000000000000000004ζ−4ζ4ζ3−4ζ3000000000000000000000000000000000000000000000000000000
χ1838-8−8i8i0000000000000000000000000000004ζ3−4ζ34ζ−4ζ000000000000000000000000000000000000000000000000000000-888i−8i000000000000000000000000000000−4ζ34ζ3−4ζ4ζ000000000000000000000000000000000000000000000000000000
χ1848-8−8i8i000000000000000000000000000000−4ζ34ζ3−4ζ4ζ000000000000000000000000000000000000000000000000000000-888i−8i0000000000000000000000000000004ζ3−4ζ34ζ−4ζ000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.