Finite Group Databasebeta

← Group #72236639

Character table — Group #72236639

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111222222222222222222444444444444444444444444444444444444448888888888888888888888888888888888888888161616161616161616161616161616163232323232323232
order1222222222222244444444222222222222222222222222222222222244442222444444444444444444444444444444444444224444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1111-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1111-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-1-1-1-1111111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-11111111-1-1-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-11111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-111-1-1-1-111
χ171111111-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11-1-111-1-111-1-11-11-11-11-1
χ181111111-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-1-111-11-11-11-11
χ191111111-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-11-1-111-1-111-1-1-11-11-11-11
χ201111111-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-111-1-111-1-1111-11-11-11-1
χ211111111-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-11111-1-1-1-1111-11-1-11-11
χ221111111-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-11111-1-1-11-111-11-1
χ231111111-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-1-11111-1-1-1-111-11-111-11-1
χ241111111-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-11111-1-11-11-1-11-11
χ251111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-111-1-1111-1-111-1-11
χ261111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-11111-1-111-1-1-111-1-111-1
χ271111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-1-1-111-1-111-111-1-111-1
χ281111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-11111-1-111-1-11-1-111-1-11
χ291111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-11111-1-11-1-11-111-1
χ301111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-111-1-1-1-111-111-11-1-11
χ311111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-1-111-11-1-11
χ321111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-1111-1-11-111-1
χ3322222222222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
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χ3522222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000000000000000000000000000000000000000000
χ3622222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2222222222222-2-2-2-2-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ372222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-22222-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ382222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222222222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ392222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ402222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2222222-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ4122222-2-22222-2-222222-2-2-2-2-2-2000000000000000022-2-222-2-20000000022-2-22-22-200000000000022-2-222-2-20000000022-2-222-2-2000000000000000000000000
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χ4522222-2-22222-2-22-2-2-2-22222-2-2000000000000000022-2-2-2-22200000000-2-2222-2-22000022-2-222-2-20000000022-2-222-2-200000000000000000000000000000000
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χ4822222-2-22222-2-22-2-2-2-22222-2-20000000000000000-2-22222-2-200000000-2-222-222-20000-2-222-2-2220000000022-2-222-2-200000000000000000000000000000000
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χ5622222-2-2-2-2-2-2-2-22-2-2-2-22222220000000000000000-2-22222-2-20000000022-2-22-2-220000-2-22222-2-20000000022-2-2-2-22200000000000000000000000000000000
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χ7322-2-222-200002-2-22-22-22-22-200000000002-22-22-22-22-22-22-22-2000022-2-200000000002-200002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
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χ7722-2-222-200002-2-22-22-22-22-20000000000-22-22-22-222-22-22-22-20000-2-2220000000000-2200002i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ7822-2-222-200002-2-22-22-22-22-20000000000-22-22-22-222-22-22-22-20000-2-2220000000000-220000−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ7922-2-222-200002-2-22-22-22-22-20000000000-22-22-22-22-22-22-22-22000022-2-200000000002-200002i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ8022-2-222-200002-2-22-22-22-22-20000000000-22-22-22-22-22-22-22-22000022-2-200000000002-20000−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
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χ8222-2-222-200002-2-2-22-22-22-2200000000002-22-2-22-222-22-2-22-22000022-2-20000000000-22−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i000000000000000000000000
χ8322-2-222-200002-2-2-22-22-22-2200000000002-22-2-22-22-22-222-22-20000-2-22200000000002-22i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i000000000000000000000000
χ8422-2-222-200002-2-2-22-22-22-2200000000002-22-2-22-22-22-222-22-20000-2-22200000000002-2−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i000000000000000000000000
χ8522-2-222-200002-2-2-22-22-22-220000000000-22-222-22-22-22-2-22-220000-2-22200000000002-22i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i000000000000000000000000
χ8622-2-222-200002-2-2-22-22-22-220000000000-22-222-22-22-22-2-22-220000-2-22200000000002-2−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i000000000000000000000000
χ8722-2-222-200002-2-2-22-22-22-220000000000-22-222-22-2-22-222-22-2000022-2-20000000000-222i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i000000000000000000000000
χ8822-2-222-200002-2-2-22-22-22-220000000000-22-222-22-2-22-222-22-2000022-2-20000000000-22−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i000000000000000000000000
χ8922-2-22-220000-22-22-22-2-22-22002-22-22-22-2000000002-2-222-2-2222-2-20000000000002-2002i−2i−2i2i00002i−2i−2i2i00002i−2i−2i2i00002i−2i−2i2i0000000000000000000000000000
χ9022-2-22-220000-22-22-22-2-22-22002-22-22-22-2000000002-2-222-2-2222-2-20000000000002-200−2i2i2i−2i0000−2i2i2i−2i0000−2i2i2i−2i0000−2i2i2i−2i0000000000000000000000000000
χ9122-2-22-220000-22-22-22-2-22-22002-22-22-22-200000000-222-2-222-2-2-222000000000000-22002i−2i−2i2i00002i−2i−2i2i0000−2i2i2i−2i0000−2i2i2i−2i0000000000000000000000000000
χ9222-2-22-220000-22-22-22-2-22-22002-22-22-22-200000000-222-2-222-2-2-222000000000000-2200−2i2i2i−2i0000−2i2i2i−2i00002i−2i−2i2i00002i−2i−2i2i0000000000000000000000000000
χ9322-2-22-220000-22-22-22-2-22-2200-22-22-22-22000000002-2-222-2-22-2-222000000000000-22002i−2i−2i2i0000−2i2i2i−2i00002i−2i−2i2i0000−2i2i2i−2i0000000000000000000000000000
χ9422-2-22-220000-22-22-22-2-22-2200-22-22-22-22000000002-2-222-2-22-2-222000000000000-2200−2i2i2i−2i00002i−2i−2i2i0000−2i2i2i−2i00002i−2i−2i2i0000000000000000000000000000
χ9522-2-22-220000-22-22-22-2-22-2200-22-22-22-2200000000-222-2-222-222-2-20000000000002-2002i−2i−2i2i0000−2i2i2i−2i0000−2i2i2i−2i00002i−2i−2i2i0000000000000000000000000000
χ9622-2-22-220000-22-22-22-2-22-2200-22-22-22-2200000000-222-2-222-222-2-20000000000002-200−2i2i2i−2i00002i−2i−2i2i00002i−2i−2i2i0000−2i2i2i−2i0000000000000000000000000000
χ9722-2-22-220000-22-2-22-222-22-2002-22-2-22-22000000002-2-22-222-222-2-2000000000000-220000002i−2i−2i2i00002i−2i−2i2i00002i−2i−2i2i00002i−2i−2i2i000000000000000000000000
χ9822-2-22-220000-22-2-22-222-22-2002-22-2-22-22000000002-2-22-222-222-2-2000000000000-22000000−2i2i2i−2i0000−2i2i2i−2i0000−2i2i2i−2i0000−2i2i2i−2i000000000000000000000000
χ9922-2-22-220000-22-2-22-222-22-2002-22-2-22-2200000000-222-22-2-22-2-2220000000000002-20000002i−2i−2i2i00002i−2i−2i2i0000−2i2i2i−2i0000−2i2i2i−2i000000000000000000000000
χ10022-2-22-220000-22-2-22-222-22-2002-22-2-22-2200000000-222-22-2-22-2-2220000000000002-2000000−2i2i2i−2i0000−2i2i2i−2i00002i−2i−2i2i00002i−2i−2i2i000000000000000000000000
χ10122-2-22-220000-22-2-22-222-22-200-22-222-22-2000000002-2-22-222-2-2-2220000000000002-20000002i−2i−2i2i0000−2i2i2i−2i00002i−2i−2i2i0000−2i2i2i−2i000000000000000000000000
χ10222-2-22-220000-22-2-22-222-22-200-22-222-22-2000000002-2-22-222-2-2-2220000000000002-2000000−2i2i2i−2i00002i−2i−2i2i0000−2i2i2i−2i00002i−2i−2i2i000000000000000000000000
χ10322-2-22-220000-22-2-22-222-22-200-22-222-22-200000000-222-22-2-2222-2-2000000000000-220000002i−2i−2i2i0000−2i2i2i−2i0000−2i2i2i−2i00002i−2i−2i2i000000000000000000000000
χ10422-2-22-220000-22-2-22-222-22-200-22-222-22-200000000-222-22-2-2222-2-2000000000000-22000000−2i2i2i−2i00002i−2i−2i2i00002i−2i−2i2i0000−2i2i2i−2i000000000000000000000000
χ1054444-44444-4-4-4-4-444-4-4-4-444-44000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1064444-44444-4-4-4-4-4-4-44444-4-4-4400000000000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1074444-444-4-444-4-4-444-4-4-4-4444-400000000000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1084444-444-4-444-4-4-4-4-44444-4-44-4000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ10944-4-4-44-40000-4444-4-44-444-4004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11044-4-4-44-40000-4444-4-44-444-400-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11144-4-4-44-40000-444-444-44-4-44004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11244-4-4-44-40000-444-444-44-4-4400-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11344-4-4-4-4400004-444-4-444-4-4400000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11444-4-4-4-4400004-444-4-444-4-440000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11544-4-4-4-4400004-44-444-4-444-400000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11644-4-4-4-4400004-44-444-4-444-40000000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8000008-800000000000000000000000000000000000004-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8000008-80000000000000000000000000000000000000-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-800000-8800000000000000000000000000000000000004-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800000-880000000000000000000000000000000000000-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-880008-80000000000000000000000000000000000000004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-880008-8000000000000000000000000000000000000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88000-880000000000000000000000000000000000000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88000-88000000000000000000000000000000000000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000

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