Finite Group Databasebeta

← Group #72320073

Character table — Group #72320073

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size1122222222222222222444444444444444444444444444444488888888888888888888888888888888888888888888161616161616161616161616161616163232323232323232
order12222222244444444882222222222224444444444448888888888888888888888888888888888888888888888888881616161616161616161616161616161622444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711-1-1-1-1111111-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-1
χ1811-1-1-1-1111111-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iii−i−iii-11-11-11-11
χ1911-1-1-1-1111111-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−iii−i−i-11-11-11-11
χ2011-1-1-1-1111111-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii1-11-11-11-1
χ2111-1-1-1-1111111-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ2211-1-1-1-1111111-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iiiii−i−iii−i−i-11-111-11-1
χ2311-1-1-1-1111111-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i−i−iii−i−iii-11-111-11-1
χ2411-1-1-1-1111111-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ2511-1-1-1-1111111-1-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iii1-1-111-1-11
χ2611-1-1-1-1111111-1-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i-111-1-111-1
χ2711-1-1-1-1111111-1-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii-111-1-111-1
χ2811-1-1-1-1111111-1-1-11-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-111-1-11
χ2911-1-1-1-1111111-1-1-11-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1
χ3011-1-1-1-1111111-1-1-11-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−i−i−iii-111-11-1-11
χ3111-1-1-1-1111111-1-1-11-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iiiii−i−i-111-11-1-11
χ3211-1-1-1-1111111-1-1-11-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1
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χ3422222222222222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ3522222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ3622222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ37222222222-2-2-2-2-2-2-2-2002-22-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ38222222222-2-2-2-2-2-2-2-2002-22-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ39222222222-2-2-2-2-2-2-2-2002-22-2-22-22-22-222-22-2-22-22-22-22000000000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ40222222222-2-2-2-2-2-2-2-2002-22-2-22-22-22-222-22-2-22-22-22-22000000000000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ41222222222-2-2-2-2-2-2-2-200-22-222-22-2-22-22-22-222-22-2-22-22000000000000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ42222222222-2-2-2-2-2-2-2-200-22-222-22-2-22-22-22-222-22-2-22-22000000000000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ43222222222-2-2-2-2-2-2-2-200-22-22-22-222-22-2-22-22-22-222-22-2000000000000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
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χ462222-2-22-2-22-2-222-22-222000000002-2-2200000000-222-222-2-22-2-2000000002-22-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ472222-2-22-2-22-2-222-22-22200000000-222-2000000002-2-2222-2-22-2-200000000-22-22000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ482222-2-22-2-22-2-222-22-22200000000-222-2000000002-2-2222-2-22-2-200000000-22-2200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ492222-2-22-2-22-2-222-22-2-2-2000000002-2-2200000000-222-2-2-222-22200000000-22-222i2i−2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ502222-2-22-2-22-2-222-22-2-2-2000000002-2-2200000000-222-2-2-222-22200000000-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
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χ522222-2-22-2-22-2-222-22-2-2-200000000-222-2000000002-2-22-2-222-222000000002-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ53222-22-2-22-2-22-22-222-22200002-2-2200000000-222-200002-22-2-22-200002-22-20000000000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
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χ65222-2-22-2-22-2-222-2-222-2-22-22-200000000-22-2200000000-222-222-2-22-220000000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000
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χ67222-2-22-2-22-2-222-2-222-2-2-22-22000000002-22-200000000-222-222-22-22-20000000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000
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χ6922-222-2-2-22-2-22-2222-2222-2-2200000000-222-200000000-222-2-2-22-222-20000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000
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χ7322-222-2-2-22-2-22-2222-2-2-22-2-2200000000-222-2000000002-2-2222-22-2-22000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ7422-222-2-2-22-2-22-2222-2-2-22-2-2200000000-222-2000000002-2-2222-22-2-2200000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ7522-222-2-2-22-2-22-2222-2-2-2-222-2000000002-2-22000000002-2-2222-2-222-2000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ7622-222-2-2-22-2-22-2222-2-2-2-222-2000000002-2-22000000002-2-2222-2-222-200000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ7722-22-22-22-2-22-2-22-2222200002-22-200000000-22-220000-22-22-22-20000-222-200002-22-2-22-22000000002-22-2-22-2200000000000000000000000000000000
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χ9522-2-2-2-2222222-2-2-22-222-2-22222-2-2-2-222-2-22222-2-2-2-222-2-2-2-222222-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000
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χ9722-2-2-2-2222-2-2-2222-22002-2-222-2-222-2-222-2-222-2-222-2-220000000000000000000000000000000000000000000000000002−2−222−2−222−2−222−2−2200000000
χ9822-2-2-2-2222-2-2-2222-22002-2-222-2-222-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000000−222−2−222−2−222−2−222−200000000
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χ10022-2-2-2-2222-2-2-2222-22002-2-22-222-2-222-22-2-22-222-2-222-2000000000000000000000000000000000000000000000000000−222−2−222−22−2−222−2−2200000000
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χ107444-44-4-44-44-44-44-4-4400000044-4-400000000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000
χ108444-44-4-44-44-44-44-4-44000000-4-4440000000044-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ109444-4-44-4-4444-4-444-4-400444400000000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11344-44-44-44-44-444-44-4-4000000444400000000-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11644-4-4444-4-4-44444-4-4-40000000000-4-4-4-4000000004444000000000000000000000000000000000000000000000000000000000000000000000000000
χ11716-1600000000000000082−82000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11816-16000000000000000−8282000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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