Finite Group Databasebeta

← Group #72253973

Character table — Group #72253973

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444448888888888888888888888888888888888888888888816161616161616161616161616161616161648484848484848484848484848484848
order12222234444666121212122222224444446666661212121212122222224444446666666666666666121212121212121212121212121212124444441212121212121212121212122244444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ41111111111111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ5111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ91111111-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11-11-11-11-111-1-111-1-1
χ101111111-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-11-11-11-11-1-111-1-111
χ111111111-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-11-1-111-1-111-1-1-1-111111-1-11-111-1-1-11111-1-1
χ121111111-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-11-1-111-1-111-1-1-1-11111-111-11-1-1111-1-1-1-111
χ131111111-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-111111-11-11-11-1-1-111-1-111
χ141111111-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-11-11-11-1111-1-111-1-1
χ151111111-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1111-1-1-1-1111111-1-1-1-11-1-11-111-111-1-1-1-111
χ161111111-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1111-1-1-1-1111111-1-1-1-1-111-11-1-11-1-11111-1-1
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χ22222222222222222222-2-222-2-22-2-2-2-222-2-22-2-222-2-2-2-2000000000000-2-22200000000000022-2-2000000000000000000000000000000-2-200002200000000
χ232222222-2-2-2-2222-2-2-2-22-2222-2-2-2-222-2222222-2-2-2-2-2-20000220000-2-2-2-222000000002222-2-22200000000-2-2-2-2-220000-2-222000000000000000000000000
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χ252222222-2-2-2-2222-2-2-2-2-2222-22-222-2-2-22-2-22-2-2-2-222220000000000002222000000000000-2-2-2-2000000000000000000000000000000002-2-220000000000
χ262222222-2-2-2-2222-2-2-2-2-2222-22-222-2-2-22-2-22-2-2-2-222220000000000002222000000000000-2-2-2-200000000000000000000000000000000-222-20000000000
χ272222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222222-2-22-2-2-2-22222000000000000-2-2-2-200000000000022220000000000000000000000000000002-20000-2200000000
χ282222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222222-2-22-2-2-2-22222000000000000-2-2-2-20000000000002222000000000000000000000000000000-2200002-200000000
χ29222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ30222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-21111111111110000000000000000
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χ36222222-12222-1-1-1-1-1-1-12-2-2-22-2-222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-2-21111i3i3−i3−i3i3i3−i3−i311111111i3i3−i3−i3i3i3−i3−i31111220000-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
χ37222222-1-2-2-2-2-1-1-1111122-2-2222-2-2-2-22-1-1-1-1-1-111111122-2-22222-2-2-2-2-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111112-222-2-2-1-111-1-1-1-111110000000000000000
χ38222222-1-2-2-2-2-1-1-1111122-2-2222-2-2-2-22-1-1-1-1-1-111111122-2-2-2-222-2-222-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-22-2-22211-1-11111-1-1-1-10000000000000000
χ39222222-1-2-2-2-2-1-1-1111122-2-2222-2-2-2-22-1-1-1-1-1-1111111-2-22222-2-222-2-2-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111112-2-2-222-1-1111111-1-1-1-10000000000000000
χ40222222-1-2-2-2-2-1-1-1111122-2-2222-2-2-2-22-1-1-1-1-1-1111111-2-222-2-2-2-22222-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-2222-2-211-1-1-1-1-1-111110000000000000000
χ41222222-1-2-2-2-2-1-1-111112-2222-2-2-2-222-2-1-1-1-1-1-11111110000220000-2-211-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-111-1-1−i3−i3i3i3i3i3−i3−i31111-22000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ42222222-1-2-2-2-2-1-1-111112-2222-2-2-2-222-2-1-1-1-1-1-11111110000220000-2-211-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-111-1-1i3i3−i3−i3−i3−i3i3i31111-22000011-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ43222222-1-2-2-2-2-1-1-111112-2222-2-2-2-222-2-1-1-1-1-1-11111110000-2-200002211-1-1−i3−i3i3i3i3i3−i3−i3111111-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-12-20000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
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χ452-22-2-22222-2-2-2-2222-2-2222-2-2-222-22-2-2-2222-2-22-222-2-20000000000002-22-20000000000002-22-2000000000000000000000000000000000000002i−2i2i−2i0000
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χ482-22-2-22222-2-2-2-2222-2-22-2-22-22-22-2-222-2222-2-22-222-2-2000000000000-22-22000000000000-22-22000000000000000000000000000000000000000000-22-22
χ492-22-2-22222-2-2-2-2222-2-2-22-222-2-2-222-22-2-2-22222-2-2-2222-22-2002-22-2002-2-222-22-22-22-20000-222-22-22-22-22-200000000000000000000000000000000000000
χ502-22-2-22222-2-2-2-2222-2-2-22-222-2-2-222-22-2-2-22222-2-2-222-22-2200-22-22002-2-22-22-22-22-220000-222-2-22-22-22-2200000000000000000000000000000000000000
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χ562-22-2-222-2-222-2-22-2-2222-22-2-22-2-222-22-2222-2-2-22-2-222000000000000-222-2000000000000-222-2000000000000000000000000000000000000000000-222-2
χ572-22-2-222-2-222-2-22-2-222-222-22-2-22-2-222-2-2-2222-2222-2-22-2-22002-2-22002-22-22-22-2-22-220000-22-222-22-2-22-2200000000000000000000000000000000000000
χ582-22-2-222-2-222-2-22-2-222-222-22-2-22-2-222-2-2-2222-2222-2-2-222-200-222-2002-22-2-22-222-22-20000-22-22-22-222-22-200000000000000000000000000000000000000
χ592-22-2-222-2-222-2-22-2-222-2-2-222222-22-2-2-2-2-2222-2222-2-2000000000000-22-220000000000002-22-2000000000000002-2-2200002-22-2-22-220000000000000000
χ602-22-2-222-2-222-2-22-2-222-2-2-222222-22-2-2-2-2-2222-2222-2-2000000000000-22-220000000000002-22-200000000000000-222-20000-22-222-22-20000000000000000
χ612-22-2-22-122-2-211-1-1-111-22-222-2-2-222-22111-1-1-1-1111-1-12-22-2002-22-200-111-1-11-11-11-11−i3−i3i3i31-1-11-11-11-11-11−i3−i3i3i3000000−i3i3−i3i3−i3i3i3−i3−i3i3i3−i30000000000000000
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Here i is the imaginary unit (i² = −1).