Finite Group Databasebeta

← Group #72256063

Character table — Group #72256063

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size1111222222222222222222222222222222888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222224444444444444444222222224444444444444444444444448888888888888888444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ91111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ101111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ121111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ131111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ141111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ151111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ161111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1711-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−i11-1-1
χ1811-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iiiii−i−iii−i−i−i−iii-1-111-1-111−i−iii-1-111
χ1911-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iii-1-111
χ2011-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii−i−iii-1-11111-1-1ii−i−i11-1-1
χ2111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-111-1-111ii−i−i-1-111
χ2211-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii11-1-1
χ2311-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1−i−iii11-1-1
χ2411-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i-1-111
χ2511-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii-1-11111-1-1−i−iii-1-111
χ2611-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iii−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i11-1-1
χ2711-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii−i−iiiii−i−i−i−iii-1-111-1-111ii−i−i11-1-1
χ2811-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii-1-111
χ2911-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−iiiii−i−iii−i−iii−i−i−i−iii11-1-1-1-111−i−iii11-1-1
χ3011-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−i-1-11111-1-1ii−i−i-1-111
χ3111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−i−iii11-1-111-1-1ii−i−i-1-111
χ3211-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−iii−i−i−i−iiiii−i−i-1-111-1-111−i−iii11-1-1
χ33222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-20000000022-2-222-2-200000000000000000000000000002-22-200000000000000000000
χ34222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-200000000-2-222-2-2220000000000000000000000000000-22-2200000000000000000000
χ35222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-222-2-2220000000022-2-222-2-20000000000000000000000000000-22-2200000000000000000000
χ36222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-222-2-22200000000-2-222-2-22200000000000000000000000000002-22-200000000000000000000
χ372222222-2-2-222-22-2-2-2-2222-2-2-2-2222-2-2-22-2200000000000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000002-22-20000000000000000000000000000
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χ622222-22-2-22-2-2-222-22-22-22-22-22-22-2222-2-2-220000000000000000000000002-2-222-2-2200000000-22-22-22-2200000000000000000000000000000000-22-22
χ632222-22-2-22-2-2-222-22-22-22-22-22-22-2222-2-2-22000000000000000000000000-222-2-222-2000000002-22-22-22-200000000000000000000000000000000-22-22
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χ8122-2-22-2-222-2-2222-2-22-2-2-22-2-2222-2-22-2-2222000000002-2-22-222-22i−2i2i−2i−2i2i−2i2i000000000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ8222-2-22-2-222-2-2222-2-22-2-2-22-2-2222-2-22-2-2222000000002-2-22-222-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000002i−2i−2i2i00000000000000000000000000000000
χ8322-2-22-2-222-2-2222-2-22-2-2-22-2-2222-2-22-2-222200000000-222-22-2-222i−2i2i−2i−2i2i−2i2i0000000000000000000000002i−2i−2i2i00000000000000000000000000000000
χ8422-2-22-2-222-2-2222-2-22-2-2-22-2-2222-2-22-2-222200000000-222-22-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ8522-2-22-2-2-2-22-22-2222-22-2-2222-2-22-2-2-2222-2200000000000000002-2-22-222-2000000000000000022-2-2-2-2220000000000000000000000002-2-2200000000
χ8622-2-22-2-2-2-22-22-2222-22-2-2222-2-22-2-2-2222-2200000000000000002-2-22-222-20000000000000000-2-22222-2-2000000000000000000000000-222-200000000
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χ9322-2-2-22-2-22-222-2-22-2222-22-22-222-2222-2-2-2-20000000000000000000000002-22-2-22-222i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000002i−2i−2i2i0000
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χ9622-2-2-22-2-22-222-2-22-2222-22-22-222-2222-2-2-2-2000000000000000000000000-22-222-22-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000002i−2i−2i2i0000
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χ10022-2-2-22-2-22-222-2-22-222-22-22-22-2-22-2-2-22222000000000000000000000000-222-22-2-2200000000-22-222-22-2000000000000000000000000000000002-2-22
χ10122-2-2-2-222-2-22-2-22-22222-2-22-2-2222-2-22-2-2222-2-22-222-2000000000000000000000000000000002-2-22-222-2000000000000000000002-2-22000000000000
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χ10322-2-2-2-222-2-22-2-22-22222-2-22-2-2222-2-22-2-222-222-22-2-22000000000000000000000000000000002-2-22-222-200000000000000000000-222-2000000000000
χ10422-2-2-2-222-2-22-2-22-22222-2-22-2-2222-2-22-2-222-222-22-2-2200000000000000000000000000000000-222-22-2-22000000000000000000002-2-22000000000000
χ1054444444-4-4-444-44-4-4-4-4-4-4-44444-4-4-4444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644444-4-4-4-444-44-4-4-44444-4-4-4444-4-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074444-44-44-44-4-4-444-44-4-44-4-44-444-44-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084444-4-444-4-4-444-44-4-44-444-444-444-4-44-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094444-4-44-444-44-4-4-444-44-4-4-444-4-4-44-44-4444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104444-4-44-444-44-4-4-444-4-4444-4-4444-44-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11144-4-4444-4-4-4-4-44-4444-4-4-4-44444444-4-4-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11244-4-44-4-4-4-44-44-4444-4444-4-4-444-4444-4-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11344-4-4-44-44-44444-4-44-4-4-44-4-44-44-44-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11444-4-4-4-444-4-44-4-44-4444-444-444-4-4-444-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11544-4-4-4-44-4444-4444-4-4-44-4-4-444-444-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11644-4-4-4-44-4444-4444-4-4-4-4444-4-44-4-44-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11716-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11816-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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