Finite Group Databasebeta

← Group #72240145

Character table — Group #72240145

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222444444444444888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222224444444422222222444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1111111-1-1-1-1-11-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-111111111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1-11-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11-11-1111111111111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1-11-1-11-1111111111-1-1-1-11111
χ91111111111111111-1-1-1-1-1-11111-1-1-1-1-11111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-11-1-1-11-11-1-1-1-11-111111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-11111-1-1-1-1-11111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1111-1-1-111-11-11-11111-1-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-11-1-1-11-11-1-1-1-11-11-1-1-1-11111-1-111-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1111-1-1-111-11-11-1-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111-11-111111-1-1-1-1111111-1-1-1-111
χ151111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111111-1-111-111-1-1-1-11111-1-1-1-111-1-1-1-111
χ161111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1111-11-1111111111-1-1-1-1-1-11111-1-1
χ171111111111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1111-1-11111111-11-111-1-11-11-11-11-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-11-11-111-11-111-1111-1-111-1-11-11-11-11-1
χ181111111111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1111-1-11111111-11-1-1-1111-11-11-11-111-1-111-1-11111-1-111-1-111-1-11-11-111-11-1-1-1-11-111-1-111-1-1-11-11-11-11
χ191111111111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1111-1-1111111-11-1111-1-11-1-11-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-11-11-111-11-111-11-1-111-1-111-11-11-11-11
χ201111111111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1111-1-1111111-11-11-1-1111-1-11-111-1-1-111-1-1111111-1-111-1-111-1-11-11-111-11-1-1-1-11-1-1-111-1-1111-11-11-11-1
χ211111111111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1111-1-1-1-1-1-1111-11-111111-11-11-11-111-1-111-1-1-1-1-1-1111111-1-111-1-1111-11-1-111-1-1-1-1-111-1-111-11-111-11-1
χ221111111111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1111-1-1-1-1-1-1111-11-1-1-1-1-11-11-11-11-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1111-1111-1-111-1-1111-11-1-11-11
χ231111111111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1111-1-1-1-1-1-111-11-1111111-1-11-111-1-1-111-1-111-1-1-1-1111111-1-111-1-1111-11-1-111-1-1-111-1-111-1-11-11-1-11-11
χ241111111111-1-1-1-1-1-11111-1-11-1-1-111-1-1-1111-1-1-1-1-1-111-11-11-1-1-1-11-1-11-111-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-1-1111-111111-1-111-1-1-11-111-11-1
χ251111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-11111111-1-111111-111-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-11-111111-1-1-1-1111-1-111-1-11
χ261111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-11111111-1-11-1-1-1-1-111-1-11-1111-1-1-1-1111111-1-111-1-1-1-11111-111-1-1-1111-1-1-111-1-1-1-111-111-1-111-1
χ271111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1111111-111-11111-11-111-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-11-1111-1-11111-1-1-111-1-111-1
χ281111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1111111-111-1-1-1-1-1-11-111-1-11-1-11111-1-11111-1-111-1-1-1-11111-111-1-1-1111-1-1-1-1-11111-1-11-1-111-1-11
χ291111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1111-1-1111-1-1-111-1-11-1111-1-1-1-111-1-1-1-111111111-1-1-11-1-111111-1-1-11-1-1-11111-1-1-111-11-1-11
χ301111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-111-111-1-11-1111-1-1-1-111-1-11111-1-11111-1-11-111-11-1-1-1-111-11-1-11111-1-11-1-11-111-1
χ311111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-111-111-111-1-1-11-111-1-11-1-11111-1-1-1-1-1-111111111-1-1-11-1-111111-1-1-11-111-1-1-1-1111-1-11-111-1
χ321111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-111-111-1-1-111-11-111-1-11-1-11111-1-1-1-11111-1-11111-1-11-111-11-1-1-1-111-1111-1-1-1-111-111-11-1-11
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χ10916-1616-1600016-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-16-1616160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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