Finite Group Databasebeta

← Group #72309312

Character table — Group #72309312

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size11111111222222222222444444444444444444448888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161632323232
order1222222222222222444422444444444444444444222222222244444444444444442222444444444444444488888888888888884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111111-1-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111111-1-1-1-1-11-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-1-11111111111-1-1-1-1-1-1-1-11111
χ91111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-111-1-1111-1-11-111111-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-1-1-1-1-1-111-11-1-1-1111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1111111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-111-1-1-1-1-1-1-1-1-111-1-111-11-1-11111-1-1-11-111-1-1-1-1-111111111-1-1-1-1-1-111
χ131111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111111111-1-111-111-111-1-111-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-111
χ141111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111111111-1-11-11-11-1-1-111-1-1111-1-11-11-1-1-1-111111111-1-1-1-111-1-1
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-11111111111-11-1-1-1111-1-1-1-111111-1-111111-1-1-1-11111-1-1-1-1-1-111
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-11111111111-1-111-11-1-11111-1-1-11-111-11111-1-1-1-1-1-1-1-1111111-1-1
χ171111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-11111-11111-1-1-1-111-11-11-1-11-11-11-11-1-1-1-11-1111-1-111-1-111-1-111-1-11-11-1
χ181111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-11111-11111-1-1-1-111-1-11-1-1-1-11-11-11-111-11-11-111-1-111-1-1-1-111-1-111-11-11
χ191111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1-11-1111-111-1-1-111-1-111-1-111-1-1111-11-1
χ201111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-11-111-11-1-111-1-11-1-111-1-11111-1-111-1-1-11-11
χ211111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-11111-1-1-1-1-1111111-11-11-1-11-11-11-11-1-1-1-11-11-1-111-1-111-1-111-1-111-11-11
χ221111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-11111-1-1-1-1-1111111-1-11-1-1-1-11-11-11-111-11-11-1-1-111-1-11111-1-111-1-11-11-1
χ231111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-11-1111-111-111-1-111-1-111-1-111-1-1-11-11
χ241111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11111-11-111-11-1-111-1-1111-1-111-1-1-1-111-1-1111-11-1
χ251111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-111-1-11-1-1-1-11111-1-1-1111-111-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11
χ261111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111-1-111-1-11111111-1-1-1-111-1-11111-1-1-111-1
χ271111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-11-11-1-11-111-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ281111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-111-1-111-11-1-111-111-1-1-1-11111-1-111-1-1-1-111-111-1
χ291111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-111-1-111111-1-1-1-1-1-1-1111-111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1
χ301111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-111-1-111111-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111111-1-11111-1-111-1-1-1-1111-1-11
χ311111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11111111-1-1-1-111111-11-11-1-11-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1
χ321111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11111111-1-1-1-1111-1-111-1-111-11-1-111-111-1-111-1-1-1-111-1-11111-1-11-1-11
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χ5122222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-222-2-222-2-200000000222-2-2-2-220000000022-200022000000000-2000000000000000000000000
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χ572222-2-2-2-22-200002-22i2i−2i−2i00002i−2i2i−2i2i−2i0000002-22-2000022-2-22-202-22i−2i000002i2i−2i−2i2i−2i00000000000000000000002-2002i−2i000000000000
χ582222-2-2-2-22-200002-22i2i−2i−2i00002i−2i2i−2i2i−2i0000002-22-2000022-2-2-220-22−2i2i000002i2i−2i−2i−2i2i0000000000000000000000-2200−2i2i000000000000
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χ1038-8-888-8-880000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-8-88000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-888-8008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-888-800-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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