Finite Group Databasebeta

← Group #72338648

Character table — Group #72338648

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size11222444444444444888888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464128128128128128128128128
order1222222224444444422244444422222222222222244444444444442222244444444444444444444444888888444444444444488888888844448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-11-1-1111111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-11111-1-111111111111-11-1-11-111111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-111-1-1-11-11-11111-1-1-1-1
χ41111111111111111111111111111111111111-1-11111-1-111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111
χ511111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111111-11-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11-11111111111-1-1-11-11-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1111111111-1-111-1-1-1-111111-1-1-1-1
χ9111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-111-1-1-111-11111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-111-1-1
χ10111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-111-1-111
χ11111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-111-111-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-11-1-1-1-11111-1-1111111-111-1-1-1-111
χ12111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-11-111-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1111111-1-11-11-11-1-11111-1-1
χ13111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-111-1-1-111-111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-11-111-1-111-1-111
χ14111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-111-1-111-1-1
χ15111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-11111-1-111-1-1-1-1-111-1-111-111-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11-11-111111-1-1-1-1-1-1111111-1-1-11111-1-1
χ16111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-11111-1-111-1-1-1-1-111-1-11-111-11-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-11-11-11111-1-1-1-111-1-11-11-1111-1-1-1-111
χ1711111-1-11111-1-11111-111-1-1111-1-1-1-111-1-111-1-111111-111-1-111-1-1-1111-1-111-1111-11-11-11-11-11-11-1-1-11111-1-11111-1-1-1-1111-1-111-1-11-11-1-1-111-11-11-11-11-1
χ1811111-1-11111-1-11111-111-1-1111-1-1-1-111-1-111-1-111111-111-1-111-1-1-1111-1-1-1-1-1-1-11-11-11-11-11-11-11-1-1-111-1-1-1-111-1-11111-111-1-111-1-1-11-11-111-11-11-11-11-11
χ1911111-1-11111-1-11111-111-1-1111-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-111-1-1-1111-111-111-11-11-11-11-11-11-11-111-1-11111-1-1-1-1-111-1-1-1-111-1-1111-1-111-1-1111-11-1-11-11
χ2011111-1-11111-1-11111-111-1-1111-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-111-1-1-1111-11-111-111-11-11-11-11-11-11-111-1-1-1-111-1-1111-1-111-1-111-1-111-111-111-1-1-1-11-111-11-1
χ2111111-1-11111-1-11111-111-1-1111-1-1-1-1-1-111-1-11111111-111-1-111-1-1-1111-1-111-111-11-111-1-11-11-11-11-1-11111-1-11111-1-1-1-11-1-111-1-1111-11-1-1-111-1-11-11-11-11
χ2211111-1-11111-1-11111-111-1-1111-1-1-1-1-1-111-1-11111111-111-1-111-1-1-1111-1-1-1-1-1-1-1-11-111-1-11-11-11-11-1-111-1-1-1-111-1-11111-1-1-111-1-111-11-11-111-111-11-11-11-1
χ2311111-1-11111-1-11111-111-1-1111-1-1-1-1-1-111-1-111-1-1111-1-1-1-1-111-1-1-1111-111-111-1-11-111-1-11-11-11-1111-1-11111-1-1-1-1-111-1-111-1-111-1-11-1-111-1-111-11-111-11-1
χ2411111-1-11111-1-11111-111-1-1111-1-1-1-1-1-111-1-111-1-1111-1-1-1-1-111-1-1-1111-11-111-11-11-111-1-11-11-11-1111-1-1-1-111-1-1111-1-11111-1-111-1-1-111-111-1-1-11-11-1-11-11
χ2511111-1-111-1-1111111-111-1-1-1-1-11-1-1-111-1-1-1-11111111-111-1-1-1-111111-111111111-1-11-111-1-111-1-11-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-11-111-1-11-11-1-111-1-11
χ2611111-1-111-1-1111111-111-1-1-1-1-11-1-1-111-1-1-1-11111111-111-1-1-1-111111-111-1-11-1-11-1-11-111-1-111-1-11-1-1-1-111-1-111-1-111-1-1111-1-1-1-1111-11-111-1-11-111-1-111-1
χ2711111-1-111-1-1111111-111-1-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-111111-11-11-1-11-11-1-11-111-1-111-1-111111-1-111-1-1-1-1-11-111-1-11111-1-1-111-1-1-11111-1-11-111-1
χ2811111-1-111-1-1111111-111-1-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-111111-11-1-11-1-111-1-11-111-1-111-1-1111111111-1-1111-11-1-1-1-11111-1-11-1-11-111-1-1-111-11-1-11
χ2911111-1-111-1-1111111-111-1-1-1-1-11-1-1-1-1-11111-1-111111-111-1-1-1-111111-11111111-111-1-11-111-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-1-11-111-1-11-1-111-1-111-1
χ3011111-1-111-1-1111111-111-1-1-1-1-11-1-1-1-1-11111-1-111111-111-1-1-1-111111-111-1-11-1-1-111-1-11-111-1-111-1-1-1-1-111-1-111-1-111-1-11-1-11111-1-11-11-111-1-111-1-111-1-11
χ3111111-1-111-1-1111111-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-111111-11-11-1-11-1-111-1-11-111-1-111-11111-1-111-1-1-1-1-11-11111-1-1-1-111-111-1-1-1111-111-11-1-11
χ3211111-1-111-1-1111111-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-111111-11-1-11-1-11-111-1-11-111-1-111-111111111-1-1111-11-1-111-1-1-1-1111-1-11-111-1-11-1-11-111-1
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χ10088-88-80000000000-880-8800000000000000000000000000000000000000-40040000000000000000000000004-4000000000000000000000000000000
χ10188-8-88000000888-80000000000-800000000000440000-4-400000000000400-40000000000000000000000000000000000000000000000000000000000
χ10288-8-88000000888-80000000000-800000000000-4-400004400000000000-40040000000000000000000000000000000000000000000000000000000000
χ10388-8-88000000-8-88-80000000000800000000000440000-4-400000000000-40040000000000000000000000000000000000000000000000000000000000
χ10488-8-88000000-8-88-80000000000800000000000-4-400004400000000000400-40000000000000000000000000000000000000000000000000000000000
χ10588-8-8800008800-880000000-8000000000000004-40000-440000000000000000000000000000000004-400000000000000000000000000000000000000
χ10688-8-8800008800-880000000-800000000000000-4400004-4000000000000000000000000000000000-4400000000000000000000000000000000000000
χ10788-8-880000-8-800-8800000008000000000000004-40000-44000000000000000000000000000000000-4400000000000000000000000000000000000000
χ10888-8-880000-8-800-880000000800000000000000-4400004-40000000000000000000000000000000004-400000000000000000000000000000000000000
χ109161616-16-1600-16160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1101616-1616-16000000000016-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11116-160008-8008-88-800000000000000004-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11216-160008-8008-88-80000000000000000-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11316-160008-800-88-8800000000000000004-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-160008-800-88-880000000000000000-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-16000-88008-8-8800000000000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-16000-88008-8-880000000000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11716-16000-8800-888-800000000000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11816-16000-8800-888-80000000000000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000

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