Finite Group Databasebeta

← Group #72248744

Character table — Group #72248744

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222224444444444444488888888888888888888888888888888888888881212121216161616161616161616161616161616161616161616242424242424484848484848484848484848
order12222222223444444446666666661212121212121212222222444444444466661212121212121212121212121212121212121212222224666666888812122424242424242424222244444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ9111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111
χ11111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ12111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-111-1-1-1-11111
χ14111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-111-1-11111-1-1-1-1
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111
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χ242222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-22222-2-2111111111111-1-1-1-1-1-1-1-111110000-2-2-1-1-1-111-2-222111111-1-1-1-1000000000000000000
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χ262222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-10000221111-1-1-2-222-1-11111-1-1-1-1000000000000000000
χ272222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111111111110000-2-2111111222211-1-1-1-1-1-1-1-1000000000000000000
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χ3722222-22-2-2-2-122-2-2-222-2-1-1-1-1-11111-1-1-11111-1-2-22200000022-2-200−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-11111−i3−i3i3i300000011-1-1i3−i300-22i3−i3i3i3−i3−i311-1-1000000000000000000
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χ432222-22-22-2-222-22-2-22-22222-2-222-2-22-2-222-2-22-22-222200000000-2-222220000000000000000-2-2-2-2000000-22-2200-220000-22-220000000000000000000000
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χ542222-2-2-2-22222-2-2222-2-2222-2-2-2-2222-2-2-2-22222-2-2200-22-220000000000-222-2-222-20000000000000000-222-2-22-2-200002200000000000000000000000000
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χ562222-2-2-2-22222-2-2222-2-2222-2-2-2-2222-2-2-2-2222-222-200-22-220000000000-222-2-222-200000000000000002-2-222-2220000-2-200000000000000000000000000
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Here i is the imaginary unit (i² = −1).