Finite Group Databasebeta

← Group #613651

Character table — Group #613651

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444222244444444444444444444
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
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-111-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-11111-1-111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ171111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11-11-1
χ181111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-11-11
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-11-11-1
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11-11-1-11-11
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-11-111-11-1
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-11-111-11-1
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-11-11
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-111-1-11
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1-111-1-111-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11-1-111-1-11
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-11-111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-111-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-111-11-1-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-11-111-1
χ3322222-2-222-2-2-2-2-2-2200000000000000002i2i2i2i−2i−2i−2i−2i2222-2-2-2-200002i2i−2i−2i00002i2i−2i−2i00002i2i−2i−2i000022-2-2000022-2-20000000000000000000000000000
χ3422222-2-222-2-2-2-2-2-2200000000000000002i2i2i2i−2i−2i−2i−2i2222-2-2-2-200002i2i−2i−2i0000−2i−2i2i2i0000−2i−2i2i2i0000-2-2220000-2-2220000000000000000000000000000
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χ3622222-2-222-2-2-2-2-2-2200000000000000002i2i2i2i−2i−2i−2i−2i-2-2-2-222220000−2i−2i2i2i0000−2i−2i2i2i00002i2i−2i−2i0000-2-222000022-2-20000000000000000000000000000
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χ41222-2-222-2-222-2-2-2-2200000000000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-200002i−2i2i−2i2i2i−2i−2i00002i2i−2i−2i00000000000022-2-2000022-2-2000000000000000000000000
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χ44222-2-222-2-222-2-2-2-2200000000000000002i2i−2i−2i2i2i−2i−2i-2-222-2-2220000−2i2i−2i2i−2i−2i2i2i00002i2i−2i−2i000000000000-2-222000022-2-2000000000000000000000000
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χ49222-2-2-2-2-2-2-2-2222222222-2-2-2-22222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-22-2-22000000000000000022-2-20000000000000000000000000000000000000000
χ50222-2-2-2-2-2-2-2-2222222222-2-2-2-22222-2-2-2-222-2-2-2-222-2-22222-2-2-2-222-222-20000000000000000-2-2220000000000000000000000000000000000000000
χ51222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-2-2-222-2-222-222-2000000000000000022-2-20000000000000000000000000000000000000000
χ52222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-222-2-22-2-220000000000000000-2-2220000000000000000000000000000000000000000
χ53222-2-2-2-2-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-22222-2-222-2-2-2-22222-2-2-222-20000000000000000-2-2220000000000000000000000000000000000000000
χ54222-2-2-2-2-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222-2-22000000000000000022-2-20000000000000000000000000000000000000000
χ55222-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2222222-2-2-2-22222-2-2-2-222-2-2222-2-220000000000000000-2-2220000000000000000000000000000000000000000
χ56222-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-22222-2-222-2-2-222-2000000000000000022-2-20000000000000000000000000000000000000000
χ5722-22-22-22-22-22-2-22-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000002-200002i−2i2-2002i−2i00000000
χ5822-22-22-22-22-22-2-22-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000-220000−2i2i-2200−2i2i00000000
χ5922-22-22-22-22-22-2-22-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000002-20000−2i2i2-200−2i2i00000000
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χ6422-22-22-22-22-22-2-22-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000-220000−2i2i2-2002i−2i00000000
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χ6622-2-22-22-22-222-2-22-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000-2200-22−2i2i0000−2i2i0000000000
χ6722-2-22-22-22-222-2-22-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000002-2002-2−2i2i0000−2i2i0000000000
χ6822-2-22-22-22-222-2-22-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000-2200-222i−2i00002i−2i0000000000
χ6922-2-22-22-22-222-2-22-2-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000002-200-22−2i2i00002i−2i0000000000
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χ7122-2-22-22-22-222-2-22-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000002-200-222i−2i0000−2i2i0000000000
χ7222-2-22-22-22-222-2-22-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000-22002-2−2i2i00002i−2i0000000000
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χ842-2-222-2-2-2-222-2-2222000000002-22-22-22-200000000-22-222-22-2-22-2200000000-222-200002-2-2200000000-22-2200002-22-2000000000000000000000000
χ852-2-222-2-2-2-222-2-222200000000-22-22-22-22000000002-22-2-22-22-22-22000000002-2-2200002-2-2200000000-22-220000-22-22000000000000000000000000
χ862-2-222-2-2-2-222-2-222200000000-22-22-22-22000000002-22-2-22-22-22-2200000000-222-20000-222-2000000002-22-200002-22-2000000000000000000000000
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χ892-2-2-2-22222-2-2-2-2222000000002-22-2-22-22000000002-2-222-2-222-2-2200002-2-2200002-2-22000000002-22-200002-22-20000000000000000000000000000
χ902-2-2-2-22222-2-2-2-2222000000002-22-2-22-22000000002-2-222-2-222-2-220000-222-20000-222-200000000-22-220000-22-220000000000000000000000000000
χ912-2-2-2-22222-2-2-2-2222000000002-22-2-22-2200000000-222-2-222-2-222-200002-2-220000-222-2000000002-22-20000-22-220000000000000000000000000000
χ922-2-2-2-22222-2-2-2-2222000000002-22-2-22-2200000000-222-2-222-2-222-20000-222-200002-2-2200000000-22-2200002-22-20000000000000000000000000000
χ932-2-2-2-22222-2-2-2-222200000000-22-222-22-2000000002-2-222-2-22-222-200002-2-2200002-2-2200000000-22-220000-22-220000000000000000000000000000
χ942-2-2-2-22222-2-2-2-222200000000-22-222-22-2000000002-2-222-2-22-222-20000-222-20000-222-2000000002-22-200002-22-20000000000000000000000000000
χ952-2-2-2-22222-2-2-2-222200000000-22-222-22-200000000-222-2-222-22-2-2200002-2-220000-222-200000000-22-2200002-22-20000000000000000000000000000
χ962-2-2-2-22222-2-2-2-222200000000-22-222-22-200000000-222-2-222-22-2-220000-222-200002-2-22000000002-22-20000-22-220000000000000000000000000000
χ972-2-2-2-2-2-2222222-2-222-22-2-22-2200000000000000002-2-22-222-20000000000000000000000002-2-222-2-222-2-222-2-222-2-22000000000000000000000000
χ982-2-2-2-2-2-2222222-2-222-22-2-22-2200000000000000002-2-22-222-20000000000000000000000002-2-22-222-2-222-2-222-2-222-2000000000000000000000000
χ992-2-2-2-2-2-2222222-2-222-22-2-22-220000000000000000-222-22-2-22000000000000000000000000-222-22-2-222-2-22-222-2-222-2000000000000000000000000
χ1002-2-2-2-2-2-2222222-2-222-22-2-22-220000000000000000-222-22-2-22000000000000000000000000-222-2-222-2-222-22-2-222-2-22000000000000000000000000
χ1012-2-2-2-2-2-2222222-2-22-22-222-22-200000000000000002-2-22-222-2000000000000000000000000-222-22-2-22-222-22-2-22-222-2000000000000000000000000
χ1022-2-2-2-2-2-2222222-2-22-22-222-22-200000000000000002-2-22-222-2000000000000000000000000-222-2-222-22-2-22-222-22-2-22000000000000000000000000
χ1032-2-2-2-2-2-2222222-2-22-22-222-22-20000000000000000-222-22-2-220000000000000000000000002-2-222-2-22-222-2-222-22-2-22000000000000000000000000
χ1042-2-2-2-2-2-2222222-2-22-22-222-22-20000000000000000-222-22-2-220000000000000000000000002-2-22-222-22-2-222-2-22-222-2000000000000000000000000
χ10544-44-4-444-4-44-444-4-400000000000000004-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-44-4-444-4-44-444-4-40000000000000000-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-444-4-444-4-444-4-400000000000000004-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-444-4-444-4-444-4-40000000000000000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-444-44-4-44-444-44-4-44-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-444-44-4-44-444-44-4-4-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-4-44-444-4-44-44-4000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-4-44-444-4-44-44-400000000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-44-444-44-4-44-44-44-4000000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-44-444-44-4-44-44-44-400000000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-44-44-444-44-44-44-4-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-44-444-44-44-44-4-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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