Finite Group Databasebeta

← Group #72318431

Character table — Group #72318431

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size11111111222222222222222244444444444444888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161632323232
order1222222222222222222222222222222222222222222222222222224444444444444444444444444444444444442244444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ12111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ13111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ14111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ15111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ17111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ18111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-11-11
χ19111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ20111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-11-11-1
χ21111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ22111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1111-11-1
χ23111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ24111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-11-11
χ25111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111-1-11
χ26111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1
χ27111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-111-1
χ28111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1111-1-11
χ29111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-111-1
χ30111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11-1-11
χ31111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-11
χ32111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1
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χ9644-44-44-4-4-4-4-4400004-44-4444-4000000000000000000000000000000000000000000000000000000000000000000000000000000-4400000000000000
χ974-44-444-4-44-44400004-4-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i000000
χ984-44-444-4-44-44400004-4-44-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i000000
χ994-44-444-4-44-4-4-40000-444-4-444400000000000000000000000000000000000000000000000000000000000000000000000000000000004-40000000000
χ1004-44-444-4-44-4-4-40000-444-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000-440000000000
χ1014-44-444-4-4-44440000-444-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i00000000
χ1024-44-444-4-4-44440000-444-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000
χ1034-44-444-4-4-44-4-400004-4-444-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000004-40000
χ1044-44-444-4-4-44-4-400004-4-444-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-440000
χ1054-4-444-4-4400004-44-4000000000000004-4004-40000000000000000000000000000000000000000000000000000002-22-22-22-200000000000000000000
χ1064-4-444-4-4400004-44-4000000000000004-4004-4000000000000000000000000000000000000000000000000000000-22-22-22-2200000000000000000000
χ1074-4-444-4-4400004-44-400000000000000-4400-440000000000000000000000000000000000000000000000000000002-2-22-222-200000000000000000000
χ1084-4-444-4-4400004-44-400000000000000-4400-44000000000000000000000000000000000000000000000000000000-222-22-2-2200000000000000000000
χ1094-4-444-4-440000-44-44000000000000004-400-440000000000000000000000000000000000000000000000000000002-22-2-22-2200000000000000000000
χ1104-4-444-4-440000-44-44000000000000004-400-44000000000000000000000000000000000000000000000000000000-22-222-22-200000000000000000000
χ1114-4-444-4-440000-44-4400000000000000-44004-40000000000000000000000000000000000000000000000000000002-2-222-2-2200000000000000000000
χ1124-4-444-4-440000-44-4400000000000000-44004-4000000000000000000000000000000000000000000000000000000-222-2-222-200000000000000000000
χ113888-8-8-8-8800008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ114888-8-8-8-880000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-88-88-800000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-88-88-80000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-888-8-88-80000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-888-8-88-8000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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