Finite Group Databasebeta

← Group #72248541

Character table — Group #72248541

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444448888888888888888888888888888888888888888888816161616161616161616161616161616161648484848484848484848484848484848
order122222222236666666222222224444666666666666222222224444666666666666666666661212121212121212121212124444441212121212121212121212122444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111
χ41111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1
χ5111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-11-1-1111111-1-1-1-1
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11111
χ91111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-11-11-111-1-111-1-1
χ101111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-111-11-11-1-111-1-111
χ111111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-111111-11-1-111-1-1-11111-1-1
χ121111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111-11-111-1-1111-1-1-1-111
χ131111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-1-111-1-111
χ141111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-1-111-11-1111-1-111-1-1
χ151111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-11-11-1-111-111-1-1-1-111
χ161111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-11-111-1-11-1-11111-1-1
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χ19222222222222222222-22-2-222-22-2-2-2-22-2-222-2-2-2-22-2-200000000000022220000000000000000-2-2-2-2000000000000000000000000000220-2-20000000000
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χ21222222222222222222-2-2-2-2-2-2-2-222222-2-222-2-2-2-22-2-2000000000000-2-2-2-20000000000000000222200000000000000000000000000200200-2-200000000
χ22222222222222222222-2-2-2-2-2-2-2-222222-2-222-2-2-2-22-2-2000000000000-2-2-2-20000000000000000222200000000000000000000000000-200-2002200000000
χ232222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
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χ252222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-1111111110000000000000000
χ262222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-1-1-1-111111111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ272222222222-1-1-1-1-1-1-1-12-222-2-22-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000222200001111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-200001111−i3−i3i3i3−i3−i3i3i30000000000000000
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χ302222222222-1-1-1-1-1-1-1-12-222-2-22-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200001111i3i3−i3−i3i3i3−i3−i3111111111111i3i3−i3−i3i3i3−i3−i3220000-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
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χ322222-2-2-2-222222-2-2-2-222-2-2-2222-2-222-2222-2-2-2-2-2-22220000-2-2220000-2-22200000000-2-2-2-22222-2-222000000002-2000022-2-2000000000000000000000000
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χ342222-2-2-2-222222-2-2-2-22-2222-2-2-22-222-22-2-2-2-222222-2-200000000000022-2-20000000000000000-2-222000000000000000000000000000-2202-20000000000
χ352222-2-2-2-222222-2-2-2-22-2-22222-2-22-2-222-2-2-2-222222-2-2000000000000-2-222000000000000000022-2-200000000000000000000000000200-200-2200000000
χ362222-2-2-2-222222-2-2-2-22-2-22222-2-22-2-222-2-2-2-222222-2-2000000000000-2-222000000000000000022-2-200000000000000000000000000-2002002-200000000
χ372222-2-2-2-222-1-1-11111-122-2-2-2-2222-2-22-1-1-1111111-1-1-122-2-222-2-222-2-2-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111112-222-2-2-1-111-1-1-1-111110000000000000000
χ382222-2-2-2-222-1-1-11111-122-2-2-2-2222-2-22-1-1-1111111-1-1-122-2-2-2-22222-2-2-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-22-2-22211-1-11111-1-1-1-10000000000000000
χ392222-2-2-2-222-1-1-11111-122-2-2-2-2222-2-22-1-1-1111111-1-1-1-2-22222-2-2-2-222-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-12-2-2-222-1-1111111-1-1-1-10000000000000000
χ402222-2-2-2-222-1-1-11111-122-2-2-2-2222-2-22-1-1-1111111-1-1-1-2-222-2-222-2-222-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-2222-2-211-1-1-1-1-1-111110000000000000000
χ412222-2-2-2-222-1-1-11111-12-2-2-2222-2-222-2-1-1-1111111-1-1-1000022-2-2000011-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-1111111-1-1−i3−i3i3i3i3i3−i3−i3-22000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ422222-2-2-2-222-1-1-11111-12-2-2-2222-2-222-2-1-1-1111111-1-1-1000022-2-2000011-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-1111111-1-1i3i3−i3−i3−i3−i3i3i3-22000011-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ432222-2-2-2-222-1-1-11111-12-2-2-2222-2-222-2-1-1-1111111-1-1-10000-2-222000011-1-1−i3−i3i3i3i3i3−i3−i31111-1-1-1-111-1-1−i3−i3i3i3i3i3−i3−i32-20000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
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χ452-2-2222-2-2-222-2-222-2-22222-22-2-2-222-2-2-2222-222-2-22-2-20000000000002-22-200000000000000002-22-200000000000000000000000000000000002i−2i2i−2i0000
χ462-2-2222-2-2-222-2-222-2-22222-22-2-2-222-2-2-2222-222-2-22-2-20000000000002-22-200000000000000002-22-20000000000000000000000000000000000−2i2i−2i2i0000
χ472-2-2222-2-2-222-2-222-2-222-22-2-22-22-2-222-2222-222-2-22-2-2000000000000-22-220000000000000000-22-22000000000000000000000000000000000000002-22-2
χ482-2-2222-2-2-222-2-222-2-222-22-2-22-22-2-222-2222-222-2-22-2-2000000000000-22-220000000000000000-22-2200000000000000000000000000000000000000-22-22
χ492-2-2222-2-2-222-2-222-2-22-22-222-22-2-2-222-2-2-22-2-2-2222222-22-200002-22-22-22-22-22-22-22-200000000-22-222-22-22-22-20000000000000000000000000000000000
χ502-2-2222-2-2-222-2-222-2-22-22-222-22-2-2-222-2-2-22-2-2-222222-22-220000-22-222-22-2-22-22-22-2200000000-22-22-22-22-22-220000000000000000000000000000000000
χ512-2-2222-2-2-222-2-222-2-22-2-2-22-222222-2-2-2-2-22-2-2-222222000000000000-22-2200000000000000002-22-200000000002-22-200002-22-22-22-20000000000000000
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χ552-2-2222-2-2-22-111-1-111-1-22-222-22-2-2-222111-1111-1-1-1-1-1-22-220000-22-22-11-111-11-11-11-1−i3−i3i3i3−i3−i3i3i31-11-11-11-11-11-1000000−i3i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ562-2-2222-2-2-22-111-1-111-1-22-222-22-2-2-222111-1111-1-1-1-1-1-22-220000-22-22-11-111-11-11-11-1i3i3−i3−i3i3i3−i3−i31-11-11-11-11-11-1000000i3−i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ572-2-2222-2-2-22-111-1-111-1-2-2-22-222222-2-2111-1111-1-1-1-1-10000000000001-11-1−i3i3i3−i3−i3i3i3−i3−i3−i3i3i3−i3−i3i3i3-11-11−i3i3i3−i3−i3i3i3−i3002-22-2i3−i3i3−i3-11-11-11-110000000000000000
χ582-2-2222-2-2-22-111-1-111-1-2-2-22-222222-2-2111-1111-1-1-1-1-10000000000001-11-1−i3i3i3−i3−i3i3i3−i3i3i3−i3−i3i3i3−i3−i3-11-11−i3i3i3−i3−i3i3i3−i300-22-22−i3i3−i3i31-11-11-11-10000000000000000
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χ652-2-22-2-222-222-2-2-2-2222-222-2-222-2-22-22-2-2-2-2222-2-22222-2-2200002-2-222-2-222-22-2-22-2200000000-222-22-22-2-22-220000000000000000000000000000000000
χ662-2-22-2-222-222-2-2-2-2222-222-2-222-2-22-22-2-2-2-2222-2-2222-222-20000-222-22-2-22-22-222-22-200000000-222-2-22-222-22-20000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).