Finite Group Databasebeta

← Group #72256469

Character table — Group #72256469

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size1111222222222222222222222222222222888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222224444444444444444222222222222444444444444444444448888888888888888224444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111
χ91111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ101111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ121111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ131111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ141111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ151111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ161111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111
χ171111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ191111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ201111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ211111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111
χ221111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111
χ231111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1
χ241111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ251111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ261111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ271111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ281111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111
χ291111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-111-1-1-1-111
χ301111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111
χ311111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1
χ321111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1
χ33222222-22222-2-2-2-2-2-2-2222-22222-2-2-2-2-2-2-220000000000000000000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-200000000000000002i−2i2i−2i000000000000000000000000
χ34222222-22222-2-2-2-2-2-2-2222-22222-2-2-2-2-2-2-220000000000000000000000002i2i−2i−2i2i2i−2i−2i-2-222-2-2220000000000000000−2i2i−2i2i000000000000000000000000
χ35222222-22222-2-2-2-2-2-2-2222-22222-2-2-2-2-2-2-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i22-2-222-2-20000000000000000−2i2i−2i2i000000000000000000000000
χ36222222-22222-2-2-2-2-2-2-2222-22222-2-2-2-2-2-2-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i-2-222-2-22200000000000000002i−2i2i−2i000000000000000000000000
χ37222222-22222-2-2-2-2-2-2-2-2-2-22-2-2-2-22222222-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i002-22-2000000000000000000000000000000
χ38222222-22222-2-2-2-2-2-2-2-2-2-22-2-2-2-22222222-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000−2i−2i2i2i−2i−2i2i2i00-22-22000000000000000000000000000000
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χ41222222-2-2-2-2-22222-2-2-2222-2-2-2-2-22222-2-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i22-2-2-2-22200000000000000002i−2i−2i2i000000000000000000000000
χ42222222-2-2-2-2-22222-2-2-2222-2-2-2-2-22222-2-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i-2-22222-2-20000000000000000−2i2i2i−2i000000000000000000000000
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χ46222222-2-2-2-2-22222-2-2-2-2-2-222222-2-2-2-2222-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i00-222-2000000000000000000000000000000
χ47222222-2-2-2-2-22222-2-2-2-2-2-222222-2-2-2-2222-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i00-222-2000000000000000000000000000000
χ48222222-2-2-2-2-22222-2-2-2-2-2-222222-2-2-2-2222-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i002-2-22000000000000000000000000000000
χ492222-2-2222-2-222-2-2-22-222-2222-2-222-2-22-2-2-2000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ502222-2-2222-2-222-2-2-22-222-2222-2-222-2-22-2-2-2000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000−2i2i−2i2i
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χ522222-2-2222-2-222-2-2-22-222-2222-2-222-2-22-2-2-200000000-2-2-2-22222−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000002i−2i2i−2i
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χ542222-2-2222-2-222-2-2-22-2-2-22-2-2-222-2-222-222222-2-222-2-2000000000000000000000000-22-22-22-2200000000-220000-220000000000000000000000000000
χ552222-2-2222-2-222-2-2-22-2-2-22-2-2-222-2-222-2222-2-222-2-2220000000000000000000000002-22-22-22-200000000-220000-220000000000000000000000000000
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χ582222-2-22-2-222-2-222-22-222-22-2-222-2-2222-2-2-20000000022-2-2-2-222−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ592222-2-22-2-222-2-222-22-222-22-2-222-2-2222-2-2-200000000-2-22222-2-22i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ602222-2-22-2-222-2-222-22-222-22-2-222-2-2222-2-2-200000000-2-22222-2-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ612222-2-22-2-222-2-222-22-2-2-22-222-2-222-2-2-222222-2-2-2-2220000000000000000000000002-22-2-22-22000000002-20000-220000000000000000000000000000
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χ722222-2-2-2-2-22222-2-22-22-2-22222-2-2-2-2222-2-220000000000000000-222-22-2-2200000000-222-22-2-22000000000000000000000000000000002-2-2200000000
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χ742-2-222-222-22-22-22-2-2-222-22-22-22-22-22-222-2-20000000000000000000000002-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i0000
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χ772-2-222-22-22-22-22-22-2-222-22-2-22-22-22-2222-2-20000000000000000000000002-22-2-22-22000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000002i−2i−2i2i0000
χ782-2-222-22-22-22-22-22-2-222-22-2-22-22-22-2222-2-20000000000000000000000002-22-2-22-2200000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000−2i2i2i−2i0000
χ792-2-222-22-22-22-22-22-2-222-22-2-22-22-22-2222-2-2000000000000000000000000-22-222-22-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000−2i2i2i−2i0000
χ802-2-222-22-22-22-22-22-2-222-22-2-22-22-22-2222-2-2000000000000000000000000-22-222-22-200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000002i−2i−2i2i0000
χ812-2-222-2-22-22-2-22-2222-22-2222-22-2-22-22-2-22-2000000002-22-22-22-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000002i−2i2i−2i000000000000
χ822-2-222-2-22-22-2-22-2222-22-2222-22-2-22-22-2-22-2000000002-22-22-22-200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000−2i2i−2i2i000000000000
χ832-2-222-2-22-22-2-22-2222-22-2222-22-2-22-22-2-22-200000000-22-22-22-22000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000−2i2i−2i2i000000000000
χ842-2-222-2-22-22-2-22-2222-22-2222-22-2-22-22-2-22-200000000-22-22-22-2200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000002i−2i2i−2i000000000000
χ852-2-222-2-22-22-2-22-2222-2-22-2-2-22-222-22-222-222-22-22-22-2000000000000000000000000000000002-2-222-2-2200000000000000002-22-20000000000000000
χ862-2-222-2-22-22-2-22-2222-2-22-2-2-22-222-22-222-222-22-22-22-200000000000000000000000000000000-222-2-222-20000000000000000-22-220000000000000000
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χ902-2-222-2-2-22-222-22-222-22-222-22-222-22-2-2-22-2000000002-2-222-2-2200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000−2i2i2i−2i000000000000
χ912-2-222-2-2-22-222-22-222-22-222-22-222-22-2-2-22-200000000-222-2-222-2000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000−2i2i2i−2i000000000000
χ922-2-222-2-2-22-222-22-222-22-222-22-222-22-2-2-22-200000000-222-2-222-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000002i−2i−2i2i000000000000
χ932-2-222-2-2-22-222-22-222-2-22-2-22-22-2-22-2222-222-22-2-22-22000000000000000000000000000000002-2-22-222-200000000000000002-2-220000000000000000
χ942-2-222-2-2-22-222-22-222-2-22-2-22-22-2-22-2222-222-22-2-22-2200000000000000000000000000000000-222-22-2-220000000000000000-222-20000000000000000
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χ962-2-222-2-2-22-222-22-222-2-22-2-22-22-2-22-2222-22-22-222-22-200000000000000000000000000000000-222-22-2-2200000000000000002-2-220000000000000000
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χ992-2-22-22-22-2-22-222-2-2222-2-222-2-22-222-2-22-22-222-2-222-22-22-2-22-2200000000000000000000000000000000000000000000-22-2200000000000000000000
χ1002-2-22-22-22-2-22-222-2-2222-2-222-2-22-222-2-22-22-222-2-222-2-22-222-22-2000000000000000000000000000000000000000000002-22-200000000000000000000
χ1012-2-22-22-2-222-22-2-22-2222-2-22-222-22-2-22-22-222-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000002-2-2200000000000000000000
χ1022-2-22-22-2-222-22-2-22-2222-2-22-222-22-2-22-22-222-2-22-222-2-222-22-2-2200000000000000000000000000000000000000000000-222-200000000000000000000
χ1032-2-22-22-2-222-22-2-22-2222-2-22-222-22-2-22-22-22-222-22-2-222-2-22-222-200000000000000000000000000000000000000000000-222-200000000000000000000
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χ105444444444444444444-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064444444-4-4-4-4-4-4-4-4444-4-4-4-444444444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074444-4-4-444-4-4-4-4444-4444-4-444-4-4-4-444-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084444-4-4-4-4-44444-4-44-4444-4-4-4-44444-4-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-444-444-44-44-44-4-4-44-44-44-44-44-44-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-444-44-44-44-44-44-4-44-44-444-44-44-44-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-4444-4-444-4-444-4-44-4-4-44-4-444-4-444-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-44-4444-4-444-4-444-4-4-4444-444-4-444-4-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-444-444-4-444-44-4-44-4-4-4-444-4-444-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-444-444-4-444-44-4-4-44444-4-444-4-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1164-4-44-44-4-444-44-4-44-444-444-44-4-44-444-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1171616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11816-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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