Finite Group Databasebeta

← Group #72265790

Character table — Group #72265790

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111122222222224444444444444444444444444444448888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222222222222222444444442222224444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ12111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
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χ3422222222222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222222200000000000000000000000000000000000000000000
χ35222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22222220000-2-2-2-2222200000000000000000000000000000000000000000000
χ36222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222222200002222-2-2-2-200000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-222222222-2-20000-2-222-2-22200000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222222222-2-2000022-2-222-2-200000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2220000-2-22222-2-200000000000000000000000000000000000000000000
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χ984-4-44-44-44-400004000000-44-44000044-4-400000000-44-440000000000000000000000000000-222-200000000-222-2-22-222-22-200000000000000000000000000000000
χ994-4-44-44-44-400004000000-44-440000-4-444000000004-44-400000000000000000000000000002-2-22000000002-2-22-22-222-22-200000000000000000000000000000000
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χ1014-4-44-4-44-4400004004-44-4000044-4-40000000000004-4-4400000000000000000000000000002-22-200000000-22-222-2-222-2-2200000000000000000000000000000000
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χ1044-4-44-4-44-4400004004-44-40000-4-444000000000000-444-40000000000000000000000000000-22-22000000002-22-22-2-222-2-2200000000000000000000000000000000
χ1054-4-44-4-44-440000400-44-44000044-4-4000000000000-444-400000000000000000000000000002-2-2200000000-222-22-2-22-222-200000000000000000000000000000000
χ1064-4-44-4-44-440000400-44-44000044-4-4000000000000-444-40000000000000000000000000000-222-2000000002-2-22-222-22-2-2200000000000000000000000000000000
χ1074-4-44-4-44-440000400-44-440000-4-4440000000000004-4-4400000000000000000000000000002-2-2200000000-222-2-222-22-2-2200000000000000000000000000000000
χ1084-4-44-4-44-440000400-44-440000-4-4440000000000004-4-440000000000000000000000000000-222-2000000002-2-222-2-22-222-200000000000000000000000000000000
χ10988-8-800000008-8000000000004-44-44-44-4008-8000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-800000008-8000000000004-44-44-44-400-8800000000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-800000008-800000000000-44-44-44-44008-800000000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-800000008-800000000000-44-44-44-4400-88000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-80000000-88000000000004-44-4-44-448-800000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-80000000-88000000000004-44-4-44-44-880000000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-80000000-8800000000000-44-444-44-48-80000000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-80000000-8800000000000-44-444-44-4-8800000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8000008-800000000000004-4-444-4-440000008-80000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8000008-800000000000004-4-444-4-44000000-88000000000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8000008-80000000000000-444-4-444-40000008-8000000000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-88-800000-8800000000000004-4-44-444-400008-8000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-800000-8800000000000004-4-44-444-40000-8800000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-800000-880000000000000-444-44-4-4400008-800000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-800000-880000000000000-444-44-4-440000-88000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8888-8-880000-8008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8888-8-880000-800-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-888-888-80000-80000008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-888-888-80000-8000000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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