Finite Group Databasebeta

← Group #72266822

Character table — Group #72266822

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11222222244444444448888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232646464646464
order12222222222222222222222222222222444444444444222222222244444444444444444444444444444444444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1111111-1-1-1-1111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-11111-1-111-1-11111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1111111111-1-1-1-111111-1-111-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ101111111111111111111111-1-1-1-1111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111
χ111111111111111111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
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χ141111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
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χ161111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
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χ1911-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1111-1-111-1-111-1-111-1-1-1-11111-11-111-11-1-11-111-1-111-1-1-1-111-1-11111-1-111-1-11-1-1-111-1-11111-1-111-1-1-1-111-11-11-11
χ2011-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1111-1-111-1-111-1-111-1-1-1-11-1-1-111-111-1111-1111-1-111-1-1-1-111-1-111-1-111-1-1111-1-1-111-1-111-1-111-1-11111-1-11-11-11-1
χ2111-1-1-1-11111-1-1-1-111111-1-1-111-1-1-1-111111-1-111-1-1-1-1111-11111-111-11-11-1-11-1-1-1-1111-1-1-1-11111-1-111-1-111-1-1-1-111-11-1-111-1-11111-1-1-1-11111-1-11-1-11-11
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χ2711-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1111-1-1-1-11111-1-11-11-1-11-1111-1-11111-1-1-11-1-1-11111-1-1-1-11111-1-111-1-111-1-1-11-1-11111-1-1-1-111-1-111-1-1111-1-111-1
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χ2911-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111111-1-1-1-111-1-11111-111-1111-111-1-1-1-11-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-1-11111-1-111-1-1-11-111-1
χ3011-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111111-1-1-1-111-1-11111-111-11-1-11-11-1-1-1-11111-1-1-111-1-11111-1-1-1-111-1-11111-1-11-1-1-11111-1-111-1-1-1-111-1-1111-11-1-11
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χ10144-4-444-44-40004-4000-44000-404000000000040-4000000002-2-2-2000000-2222000000000000-222-22-2-22000000000000000000000000000000000000
χ10244-4-444-44-40004-4000-44000-404000000000040-400000000-22220000002-2-2-20000000000002-2-22-222-2000000000000000000000000000000000000
χ10344-4-444-44-4000-440004-4000040-40000000000-40400000002-222000000-22-2-20000000000002-2-222-2-22000000000000000000000000000000000000
χ10444-4-444-44-4000-440004-4000040-40000000000-4040000000-22-2-20000002-222000000000000-222-2-222-2000000000000000000000000000000000000
χ10544-4-444-44-4000-440004-40000-404000000000040-400000002-2-2-2000000-22220000000000002-2-22-222-2000000000000000000000000000000000000
χ10644-4-444-44-4000-440004-40000-404000000000040-40000000-22220000002-2-2-2000000000000-222-22-2-22000000000000000000000000000000000000
χ10744-4-4-4-4444444444-4-4-4-4-44400000000-4-44-4-4000000004000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4-4-4444-44444-4-4-4-4-44-4-400000000444-4400000000-4000000000000000000000000000000000000000000000000000000000000000000000000
χ109888-8-888-8-8000000000000000000000000000000000004400000000-4-4000000000000000000000000000000000000000000000000000000000000
χ110888-8-888-8-800000000000000000000000000000000000-4-40000000044000000000000000000000000000000000000000000000000000000000000
χ11188-888-88-8-8000000000000000000000000000000000004-400000000-44000000000000000000000000000000000000000000000000000000000000
χ11288-888-88-8-800000000000000000000000000000000000-44000000004-4000000000000000000000000000000000000000000000000000000000000
χ11316-16000000080000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i000000
χ11416-16000000080000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i000000
χ11516-160000000-80000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004-400000000
χ11616-160000000-8000080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-4400000000

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