Finite Group Databasebeta

← Group #72313156

Character table — Group #72313156

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111111112222222222222222222222222222888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222444422222222222222444444444444442222222244444444444444444444444422222244444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ61111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ9111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ10111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ11111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ12111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
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χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ171111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1111-11-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-11-11-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ191111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11-1-11111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
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χ211111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11-11-1111-11-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ221111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-11-1111-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ231111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111111-1-11-1-11-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
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χ251111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1111-1-11-1-11-1-1111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ261111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-111-1-1-1-111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ271111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-11-1111-11-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ281111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-1111-11-11-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-1
χ291111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1-11111-1-11-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1
χ301111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-111-111-111-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111
χ311111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111111-11-1-1-11-11-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
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χ1004-4-44-4-444444-44-444-44-4-4-4-4-4-4-4-44-444-44-44440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4444-4-44-44-44-44-4-44444-4-44-44-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-44-44-4-44-444-44-444-44-444-44-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-4-444-4-444-4-4444-44-4-44-44-4-444-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-444-4-44-444-4-444-444-4-444-444-4-444-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-88i−8i8i−8i00000000000000000000000000000000004-4000000000000000000004i−4i0000000000000000000000000000000000000000000000
χ10688-8-88i−8i8i−8i0000000000000000000000000000000000-4400000000000000000000−4i4i0000000000000000000000000000000000000000000000
χ10788-8-8−8i8i−8i8i00000000000000000000000000000000004-400000000000000000000−4i4i0000000000000000000000000000000000000000000000
χ10888-8-8−8i8i−8i8i0000000000000000000000000000000000-44000000000000000000004i−4i0000000000000000000000000000000000000000000000
χ1098-88-88i−8i−8i8i000000000000000000000000000000004-40000000000000000000000004i−4i00000000000000000000000000000000000000000000
χ1108-88-88i−8i−8i8i00000000000000000000000000000000-44000000000000000000000000−4i4i00000000000000000000000000000000000000000000
χ1118-88-8−8i8i8i−8i000000000000000000000000000000004-4000000000000000000000000−4i4i00000000000000000000000000000000000000000000
χ1128-88-8−8i8i8i−8i00000000000000000000000000000000-440000000000000000000000004i−4i00000000000000000000000000000000000000000000

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