Finite Group Databasebeta

← Group #613349

Character table — Group #613349

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444424444444
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ11111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-111-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-1111-1-1
χ171111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ181111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-11-11
χ191111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-11-11
χ201111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-1
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1111-11-1-111-1
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-11-111-1-11
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-11-111-1-11
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11-11-1-111-1
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-11-11
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111-11-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1111-11-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-11-11
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-11-11-11-1-11
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-11-11-111-1
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-11-11-111-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1111-11-11-1-11
χ3322222-2-2-2-22-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000022-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ3422222-2-2-2-22-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000022-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3522222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-222220000000000000000-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3622222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-222220000000000000000-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ3722222-2-2-2-22-2-2-2-222-2-2-2-222222222-2-2-2-20000000000000000-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3822222-2-2-2-22-2-2-2-222-2-2-2-222222222-2-2-2-20000000000000000-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ3922222-2-2-2-22-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000022-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4022222-2-2-2-22-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000022-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
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χ50222-2-2-22-22-2-22-222-2000000002i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000−2i2i2i−2i00002-2-220000-2-2220000−2i−2i2i2i22-2-20000000000000000000000000000
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χ52222-2-2-22-22-2-22-222-2000000002i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000−2i2i2i−2i00002-2-22000022-2-200002i2i−2i−2i-2-2220000000000000000000000000000
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χ55222-2-2-22-22-2-22-222-200000000−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000002i−2i−2i2i00002-2-220000-2-22200002i2i−2i−2i22-2-20000000000000000000000000000
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χ5722-22-22-2-2-2222-22-2-222-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002-22-200002i−2i2i−2i00000000
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χ6422-22-22-2-2-2222-22-2-2-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000-222-200002i−2i−2i2i00000000
χ652-22-22-22-2-22222-2-2-22-22-22-22-2000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000002-22-200002i−2i2i−2i000000000000
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χ692-22-22-22-2-22222-2-2-2-22-22-22-22000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000002-2-2200002i−2i−2i2i000000000000
χ702-22-22-22-2-22222-2-2-2-22-22-22-22000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000-222-20000−2i2i2i−2i000000000000
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χ822-2-222-222-2-22-2-222-2000000002i−2i2i−2i−2i2i−2i2i000000002i−2i−2i2i−2i2i2i−2i0000−2i2i2i−2i00002-2-2200000000-22-220000−2i2i−2i2i00002-22-2000000000000000000000000
χ832-2-222-222-2-22-2-222-2000000002i−2i2i−2i−2i2i−2i2i00000000−2i2i2i−2i2i−2i−2i2i00002i−2i−2i2i0000-222-200000000-22-220000−2i2i−2i2i0000-22-22000000000000000000000000
χ842-2-222-222-2-22-2-222-2000000002i−2i2i−2i−2i2i−2i2i00000000−2i2i2i−2i2i−2i−2i2i0000−2i2i2i−2i00002-2-22000000002-22-200002i−2i2i−2i0000-22-22000000000000000000000000
χ852-2-222-222-2-22-2-222-200000000−2i2i−2i2i2i−2i2i−2i000000002i−2i−2i2i−2i2i2i−2i00002i−2i−2i2i00002-2-22000000002-22-20000−2i2i−2i2i0000-22-22000000000000000000000000
χ862-2-222-222-2-22-2-222-200000000−2i2i−2i2i2i−2i2i−2i000000002i−2i−2i2i−2i2i2i−2i0000−2i2i2i−2i0000-222-200000000-22-2200002i−2i2i−2i0000-22-22000000000000000000000000
χ872-2-222-222-2-22-2-222-200000000−2i2i−2i2i2i−2i2i−2i00000000−2i2i2i−2i2i−2i−2i2i00002i−2i−2i2i00002-2-2200000000-22-2200002i−2i2i−2i00002-22-2000000000000000000000000
χ882-2-222-222-2-22-2-222-200000000−2i2i−2i2i2i−2i2i−2i00000000−2i2i2i−2i2i−2i−2i2i0000−2i2i2i−2i0000-222-2000000002-22-20000−2i2i−2i2i00002-22-2000000000000000000000000
χ892-2-2-2-222-2-22-2-222222-2-22-222-22-2-222-2-2200000000000000002-22-200000000000000002-2-222-2-222-2-222-2-2200000000000000000000000000000000
χ902-2-2-2-222-2-22-2-222222-2-22-222-22-2-222-2-2200000000000000002-22-20000000000000000-222-2-222-2-222-2-222-200000000000000000000000000000000
χ912-2-2-2-222-2-22-2-222222-2-22-222-2-222-2-222-20000000000000000-22-2200000000000000002-2-222-2-22-222-2-222-200000000000000000000000000000000
χ922-2-2-2-222-2-22-2-222222-2-22-222-2-222-2-222-20000000000000000-22-220000000000000000-222-2-222-22-2-222-2-2200000000000000000000000000000000
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χ952-2-2-2-222-2-22-2-22222-222-22-2-22-222-2-222-200000000000000002-22-200000000000000002-2-22-222-2-222-22-2-2200000000000000000000000000000000
χ962-2-2-2-222-2-22-2-22222-222-22-2-22-222-2-222-200000000000000002-22-20000000000000000-222-22-2-222-2-22-222-200000000000000000000000000000000
χ972-2-2-2-2-2-222222-2-2222-2-222-2-222-2-22-222-22-2-222-2-222-2-222-2-222-2-22000000000000000000000000000000002-2-222-2-22000000000000000000000000
χ982-2-2-2-2-2-222222-2-2222-2-222-2-222-2-22-222-2-222-2-222-2-222-2-222-22-2-2200000000000000000000000000000000-222-2-222-2000000000000000000000000
χ992-2-2-2-2-2-222222-2-2222-2-222-2-22-222-22-2-222-2-222-2-222-2-222-2-22-222-200000000000000000000000000000000-222-2-222-2000000000000000000000000
χ1002-2-2-2-2-2-222222-2-2222-2-222-2-22-222-22-2-22-222-2-222-2-222-2-222-2-222-2000000000000000000000000000000002-2-222-2-22000000000000000000000000
χ1012-2-2-2-2-2-222222-2-222-222-2-222-22-2-22-222-22-2-222-2-22-222-2-222-2-222-2000000000000000000000000000000002-2-22-222-2000000000000000000000000
χ1022-2-2-2-2-2-222222-2-222-222-2-222-22-2-22-222-2-222-2-222-22-2-222-2-22-222-200000000000000000000000000000000-222-22-2-22000000000000000000000000
χ1032-2-2-2-2-2-222222-2-222-222-2-222-2-222-22-2-222-2-222-2-22-222-2-222-22-2-2200000000000000000000000000000000-222-22-2-22000000000000000000000000
χ1042-2-2-2-2-2-222222-2-222-222-2-222-2-222-22-2-22-222-2-222-22-2-222-2-222-2-22000000000000000000000000000000002-2-22-222-2000000000000000000000000
χ10544-44-4-44444-4-44-4-4-444-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-44-4-44444-4-44-4-4-4-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-4444-44-44-4-4-4-4400000000000000000000000044-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4444-44-44-4-4-4-44000000000000000000000000-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ10944-4-44-4-44-4-4-4444-44000000000000000044-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ11044-4-44-4-44-4-4-4444-440000000000000000-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-4444-4-4-44-4-4-4400000000000000004-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-4444-4-4-44-4-4-440000000000000000-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-444-4-4-4-44-44-444-440000000000000000000000004-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1144-444-4-4-4-44-44-444-44000000000000000000000000-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1154-44-444-4444-4-4-44-4-44-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-444-4444-4-4-44-4-4-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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