Finite Group Databasebeta

← Group #72316851

Character table — Group #72316851

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222222222224444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222224444444444444444442224444444444444442222444444444444222222224444444488888888888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ91111111111-1-1111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111-1-1111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111-1-1111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ121111111111-1-1111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ131111111111-1-1111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ141111111111-1-1111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ151111111111-1-1111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ161111111111-1-1111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-111-1-11-1-111-1-1-1111111-1-1-1-111-1-111-1-111-1-11-11-111-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ18111111-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-111-1-11-1-111-1-1-1111111-1-1-1-111-1-111-1-111-1-1-11-1111-1-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ19111111-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-111-1-11-1-111-1-1-1111111-1-1-1-111-1-111-1-1-1-1111-11-1-1-1111-11-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ20111111-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-111-1-11-1-111-1-1-1111111-1-1-1-111-1-111-1-1-1-111-11-11-1-111-11-11-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ21111111-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-111-1-11-1-111-1-1-111-1-1-1-11111-1-111-1-11111-1-11-11-111-1-11-11-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ22111111-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-111-1-11-1-111-1-1-111-1-1-1-11111-1-111-1-11111-1-1-11-1111-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ23111111-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-111-1-11-1-111-1-1-111-1-1-1-11111-1-111-1-111-1-1111-11-1-1-1111-11-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ24111111-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-111-1-11-1-111-1-1-111-1-1-1-11111-1-111-1-111-1-111-11-11-1-111-11-1111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111
χ25111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-11-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ26111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-111-1-1-111-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ27111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-1111-1-1111-1-11-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ28111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-111-111-111-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ29111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1111-1-1-1-111111-1-11111-1-1-1-11111-1-111-1-11-1-11-1-1111-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ30111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1111-1-1-1-111111-1-11111-1-1-1-11111-1-111-1-1-111-1-1-111-111-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ31111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1111-1-1111-1-11-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ32111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-111-1-1-1111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-111-111-111-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
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χ994-44-4-444-4-44000000-4-444-40000004-440000000000000000004-4000000004-40000000000000000000000000000000000000000000000000000
χ1004-44-4-444-4-44000000-4-444-40000004-44000000000000000000-4400000000-440000000000000000000000000000000000000000000000000000
χ1014-44-4-44-444-40000004-444-4000000-44-400000000000000000000004i−4i00−4i4i000000000000000000000000000000000000000000000000000000
χ1024-44-4-44-444-40000004-444-4000000-44-40000000000000000000000−4i4i004i−4i000000000000000000000000000000000000000000000000000000
χ1034-44-4-44-444-4000000-44-4-440000004-440000000000000000004-400000000-440000000000000000000000000000000000000000000000000000
χ1044-44-4-44-444-4000000-44-4-440000004-44000000000000000000-44000000004-40000000000000000000000000000000000000000000000000000
χ10588-8-8000000008-80000000008i−8i8i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8000000008-8000000000−8i8i−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800000000-880000000008i−8i−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-800000000-88000000000−8i8i8i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-880000008-8008-8000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-880000008-800-8800000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88000000-88008-800000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88000000-8800-88000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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