Finite Group Databasebeta

← Group #72236431

Character table — Group #72236431

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222222222224444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222222222222222222222222222222222222222222244444444222244444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-111-1-111-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1111-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ12111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-11111-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111111-111-1-111-1-1-1-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1111-1-1-1-111-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-111-1-11-1111-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-111-1-11-1-1-11-11-1-11-111-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ191111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-111-1-1-1111-11-111-11-1-11-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ201111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-111-1-1-11-1-1-11-11-11-11-1111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ211111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-111-1-111-1-1111-1111-11-11-11-11-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ221111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-111-1-111-1-1111-1-1-11-11-1-11-111-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ231111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-111-1-111-1-111-1111-11-111-11-1-11-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ241111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-111-1-111-1-111-11-1-1-11-11-11-11-111111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111
χ251111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-11-11-1-111-1-11-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111-111-1-111-11-1-111-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ281111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111-11-11-111-1-111-11-11-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ291111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111-1-11-11-11-1-111-1-11-11-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ301111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111-1-11-1-111-1-11-111-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ311111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111-1-1-111-1-111-11-1-111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ321111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111-1-1-11-11-111-1-111-11-11-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
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χ994-4-44-44004-400-44004-4004-4-44-4400000000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000
χ1004-4-44-44004-400-44004-4004-4-44-440000000000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000000000000000
χ1014-4-44-4400-44004-4004-400-44-444-400000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000
χ1024-4-44-4400-44004-4004-400-44-444-40000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000000000000000000000
χ1034-4-44-4400-4400-4400-44004-44-44-400000000000000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000000000
χ1044-4-44-4400-4400-4400-44004-44-44-40000000000000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000000000000000000000
χ10588-8-800000000008-8008-80000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800000000008-800-88000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-80000000000-88008-8000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-80000000000-8800-880000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8008-8008-800000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8008-800-880000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-88008-80000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-8800-8800000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000

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