Finite Group Databasebeta

← Group #72314399

Character table — Group #72314399

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111111122222222222222222222222222224444444488888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222444422222222222222444444444444442222444422444444444444444444222222224444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ10111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111
χ12111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ171111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-11-1-11-111-11-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ191111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-111-11-1-11-111-11-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ201111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-11-11-11-11-11-11-1111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ211111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-111-1-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ221111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-11-1-11-111-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1
χ231111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-111-11-1-11-111-11-1-11-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111
χ241111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-111-1-111-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1
χ251111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111-11-11-1-111-11-11-1-1111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1
χ261111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111-11-1-111-11-11-1-111-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ271111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-11-111-1-11-11-111-1-11-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ281111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-11-11-111-1-11-11-111-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111
χ291111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111-1-111-11-11-1-111-11-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111
χ301111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111-1-11-11-111-1-11-11-11-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1
χ311111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-111-11-11-1-111-11-11-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111
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χ1004-4-44-4-444444-4-4-4-4-44444-4-44-44-4-444-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4444-4-4444-4-4-4-444-444-4-444-4-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-4444-4-44-4-44444-4-4-444-4-444-44-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-44-444-44-4-44-444-4-444-44-4-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-444-44-44-44-444-44-44-4-444-44-44-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-88i−8i8i−8i00000000000000000000000000004-44-44i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88i−8i8i−8i0000000000000000000000000000-44-44−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8−8i8i−8i8i00000000000000000000000000004-44-4−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8−8i8i−8i8i0000000000000000000000000000-44-444i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-88i−8i−8i8i00000000000000000000000000004-4-444i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88i−8i−8i8i0000000000000000000000000000-444-4−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8−8i8i8i−8i00000000000000000000000000004-4-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8−8i8i8i−8i0000000000000000000000000000-444-44i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000

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