Finite Group Databasebeta

← Group #375628

Character table — Group #375628

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222222222224444444444444444444444444444444444444444444488888888888888888888888888888888444444444444444422444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1iiii−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
χ181-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1iiii−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
χ191-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1−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
χ201-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1−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
χ211-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111iiii−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
χ221-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111iiii−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
χ231-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111−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
χ241-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111−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
χ251-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111iiii−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
χ261-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111iiii−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
χ271-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−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
χ281-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−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
χ291-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1iiii−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
χ301-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1iiii−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
χ311-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1−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
χ321-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1−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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χ342222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
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χ5322-22-2-2-222-22-222-2-222-2-22-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i2-2000000000000000000000000000000000000000000002-22-22i−2i2i−2i0000000000000000
χ5422-22-2-2-222-22-222-2-222-2-22-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i2-200000000000000000000000000000000000000000000-22-22−2i2i−2i2i0000000000000000
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χ5922-22-2-2-222-22-222-2-2-2-222-22−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i-2200000000000000000000000000000000000000000000000000002-22-2−2i2i−2i2i00000000
χ6022-22-2-2-222-22-222-2-2-2-222-22−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i-220000000000000000000000000000000000000000000000000000-22-222i−2i2i−2i00000000
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χ6422-2-222-2-222-2-22-2-222-22-22-200000000−2i2i2i−2i−2i2i2i−2i00000000-220000−2i2i−2i2i000000000000-222-2-222-2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
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χ6722-2-222-2-222-2-22-2-22-22-22-2200000000−2i2i2i−2i−2i2i2i−2i000000002-200002i−2i2i−2i00002-2-222-2-22000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
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χ892-22-22-2-2222-22-22-2-2-2-2222-22i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i2-200000000000000000000000000000000000000000000000000002i−2i−2i2i-222-200000000
χ902-22-22-2-2222-22-22-2-2-2-2222-22i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i2-2-2200000000
χ912-22-22-2-2222-22-22-2-2-2-2222-2−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i2-200000000000000000000000000000000000000000000000000002i−2i−2i2i2-2-2200000000
χ922-22-22-2-2222-22-22-2-2-2-2222-2−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i-222-200000000
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χ1022-2-2-2-22222-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ1032-2-2-2-22222-2-2-2-2222-2-2-2-222-2-2-2-222222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ1042-2-2-2-22222-2-2-2-2222-2-2-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ10544444-444-4-4-4-4-4-4-440000004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ107444-4-4-44-44-4-444-44-44-4-4444000000000000000000000000-4-400000000000000000000000000000000000000000000000000000000000000000000
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χ11044-4-44-4-4-4-4-444-44440000000000000000000000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-4-4-4-4-44-4-4444400000000000000000000004-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-4-4-4-4-44-4-444440000000000000000000000-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000
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χ1154-4-4-4-4-444-44444-4-440000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4-444-44444-4-44000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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