Finite Group Databasebeta

← Group #72281864

Character table — Group #72281864

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222244444444444444444444444444444444444444888888888888888888888888888888888888888888161616163232323232323232323232323232
order1222222222224422222222222222222224444444444444444444222222222222222222444444444444444444444444888844444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ411111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111
χ911111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1
χ1011111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-1
χ1211111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ1611111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ171111-1-111111111-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-111-1-111-1-111-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-11-11-11-11-11-11-11-1
χ181111-1-111111111-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-111-1-111-1-111-1-11-11-11-11-11-11-111-1-111-1-111-1-1-1-111-11-11-11-11-11-11-11
χ191111-1-111111111-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-1-1-1111-1-111-1-111-1-1111-11-11-11-11-11-1-1-111-1-111-1-11111-1-1-11-11-11-111-11-11-1
χ201111-1-111111111-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-1-1-1111-1-111-1-111-1-1111-11-11-11-11-11-1-1-111-1-111-1-111-1-1111-11-11-11-1-11-11-11
χ211111-1-111111111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-111-1-1-1-111-1-1111-1-11-111-1-11-1111-1-1-1-111-1-11111-1-11-11-1-11-111-1-11-11
χ221111-1-111111111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-111-1-1-1-111-1-1111-1-11-111-1-11-1111-1-1-1-111-1-111-1-111-11-111-11-1-111-11-1
χ231111-1-111111111-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111111-1-1-1111-1-11111-1-111-1-11-1-11-111-1-11-11-1-11111-1-111-1-111-1-1-11-111-11-11-1-11-11
χ241111-1-111111111-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111111-1-1-1111-1-11111-1-111-1-11-1-11-111-1-11-11-1-11111-1-111-1-1-1-1111-11-1-11-11-111-11-1
χ251111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-1-111-111-1-11-111-1-11-1-11111-1-1-1-11111-1-11-1-111-1-11-111-1-11
χ261111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-1-111-111-1-11-111-1-11-1-11111-1-1-1-111-1-111-111-1-111-11-1-111-1
χ271111-1-111111111-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111111-1-1-1-11111-1-1-111-1-11-111-1-1111-1-1-1-11111-1-111-1-1-111-1-111-1-111-1-11
χ281111-1-111111111-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111111-1-1-1-11111-1-1-111-1-11-111-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-111-1
χ291111-1-111111111-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-111-1-11111-1-1-11-111-1-11-111-1-1-111-1-11111-1-111-1-11-1-11-111-1-11-111-1
χ301111-1-111111111-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-111-1-11111-1-1-11-111-1-11-111-1-1-111-1-11111-1-1-1-111-111-11-1-111-11-1-11
χ311111-1-111111111-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1111-1-1-111111-1-111-1-1-1-111-11-111-1-11-111-111-1-111-1-1-1-11111-1-1-111-11-1-11-11-111-1
χ321111-1-111111111-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1111-1-1-111111-1-111-1-1-1-111-11-111-1-11-111-111-1-111-1-1-1-111-1-1111-1-11-111-11-11-1-11
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χ974-4-4400-444-4-44000004-400004-4004-400000000-440000-44004-4000000000000000000000000000000000000000000000000000000000000000
χ984-4-4400-444-4-44000004-40000-4400-4400000000-4400004-400-44000000000000000000000000000000000000000000000000000000000000000
χ994-4-4400-444-4-4400000-4400004-400-44000000004-40000-4400-44000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4400-444-4-4400000-440000-44004-4000000004-400004-4004-4000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4400-44-444-400000004-44-400004-40000000000-44-440000-44000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4400-44-444-400000004-4-440000-440000000000-444-400004-4000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4400-44-444-40000000-444-40000-4400000000004-4-4400004-4000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4400-44-444-40000000-44-4400004-400000000004-44-40000-44000000000000000000000000000000000000000000000000000000000000000
χ10588-8-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ10688-8-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i200000000000000
χ10788-8-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ10888-8-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ1098-88-8000000008-8000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8000000008-800000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800000000-880000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800000000-88000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000

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