Finite Group Databasebeta

← Group #72260625

Character table — Group #72260625

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size1111222222444444444444444444444488888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232326464646464646464
order12222222222222222222222222224444222222222444444444422222222222224444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-11-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-111-1-1111111-1-1-111-1-1-1111111111-1-1-111-1-11111-111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-111-1-1111111-1-1-111-1-1-1111111111-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-111-1-1111111-1-1-111-1-1-1111111111-1-1-1-1-1111111-1-1-111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ8111111111111111111111111-1-111-1-1111111-1-1-111-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1
χ9111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-111-1-111-11-11-1111111-11-11-1-11-11-1-11-11-1-1-1-1-111-1-111-1-1111111-1-1-1-111-11-1-111-1-111-1-11-11-11-11-1
χ10111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-1-111-11-11-1-11-11-1-11-11-11111-1-111-1-11111-1-1-1-111111-11-11-111-1-111-1-1-11-11-11-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-11-1111111-11-111-1-1-11-11-1-11-11-1-1-1-111-1-111-1-1111111-1-1-1-111-11-1-1-1-111-1-111-11-11-11-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1-1-1-11-11-111-1-1-11-11-1-11-111111-1-111-1-11111-1-1-1-111111-11-11-1-1-111-1-1111-11-11-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-111111-11-1-11-1111-1-1111-1-11-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1111-1-111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-11-1-1-1-1-11-1-11-1111-1-1111-1-11111111-1-111-1-111-1-1-1-11111-11-11-1111-1-1-1-111-111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11-111-11111-1-111-1-111-111-11-111-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-111-1-11111-1-1-111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-111-1-111-111-11-111-1111111-1-111-1-111-1-1-1-11111-11-11-11-1-11111-1-11-1-111-1-11
χ171111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1111111-1-111111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ181111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-111111-1-111111111-1-1111111111-1-111-1-1-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ191111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-11-1-1-1-11-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-111-1111111111111-1-1-1-1
χ201111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-111-1-1-111111111-1-1-1-11111
χ211111111111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-111-1-1-11-1-1-1-111-1-111-111-1-111-1-1-111-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1111-1-11-1-1-1-11111-1-11111-1-1
χ221111111111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-111-1-1-11-1-1-1-111-1-111-111-1-1-1-111-111-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-1111-1-1-1-1111111-1-1-1-111
χ231111111111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-111-1-1-11-1-1-1-111-1-111-1-1-11111-1-1-1-1-111-111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1111-1-111111-1-1-1-111-1-1-1-111
χ241111111111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-111-1-1-11-1-1-1-111-1-111-1-1-111-1-111-1-1-111-111-1-111-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-11111-1-1
χ251111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-111111111-1-1-11-11-111-1-111-11-11111-11-1-11-11-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-11-1-111-1-111-11-111-11-1
χ261111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-111111111-1-1-11-11-1-1-11111-11-11111-11-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1-111-1-111-1-1111-11-1-11-11
χ271111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-111111111-1-1-1-11-1111-1-11-11-11111-11-11-1-11-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1111-1-111-1-11-11-1-11-11
χ281111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-1-111111111-1-1-1-11-11-1-1111-11-11111-11-11-1-11-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1-11111-1-111-1-1-11-111-11-1
χ291111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-1111111111111-1-1111-1-1-11-1-11-1-1-11-1-1111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11-1-1-11111-1-1-111-11-1-11
χ301111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-1111111111111-1-11-1-111-11-1-11-1-1-11-1-1111-1-1111-1-111-1-1-1-111-1-1-1-11111-1-11-111-1-1-1-11111-1-11-1-11-111-1
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-111111111111-111-111-1-1-1-111-1-1-1-1-111-11-111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11-111-1-1-1-1111-1-11-111-1
χ321111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-111111111111-111-1-1-111-1-111-1-1-1-1-111-11-111-111-1-111-1-1-1-111-1-1-1-11111-1-11-111-1-111-1-1-1-111-111-11-1-11
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χ392222222222000000002222-2-2-2-2-2-2-2-222-2-2-2-2-222-2-2-22220000220000200002200-200002000000-200002200-2-2-2-2000000-2-200-2-2000002200000000000000000
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χ552222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2222-2-2-2-2-22-2-2-2-2-2-222-2-2200000000-20000-222000020000000000000000220000000020000-20000000000000000
χ562222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-22222-2-2-2-2-2-22222-200000000200002-2-20000-200000000000000002200000000-2000020000000000000000
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χ1064-4-440-40004-4-444000000004-400-4400-440000000000000-440000000000000-222-2000000000000000002-22-200000000002-2-22-22-220000000000000000000000
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χ10988-8-88000-804-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000004i−4i004i−4i00000000000000000000000000000000
χ11088-8-88000-804-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000−4i4i00−4i4i00000000000000000000000000000000
χ11188-8-88000-80-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000004i−4i00−4i4i00000000000000000000000000000000
χ11288-8-88000-80-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000000−4i4i004i−4i00000000000000000000000000000000
χ11388-8-8-8000804-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000004-4004-40000000000000000000000000000000000
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χ11688-8-8-800080-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000-44004-40000000000000000000000000000000000
χ1178-88-8008-8004-4-444-4-440000008-80000000000000000000000000004-40000000000000000000000000000000000000000000000000000000000000000000000
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χ1198-88-8008-800-444-4-444-40000008-8000000000000000000000000000-440000000000000000000000000000000000000000000000000000000000000000000000
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χ1248-88-800-8800-444-44-4-440000000000-8800000000000000000000000000000000000000004-400000000000000000000000000000000000000000000000000000
χ12516-16-1616016000-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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