Finite Group Databasebeta

← Group #72263829

Character table — Group #72263829

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size11112222222222444444444444448888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222224444442222222222244444444444222222222244444444444444444444444444442444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-111111111-1-111-1-111-1-1111111111111-1-1-1-11-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-11-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ121111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11111-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ131111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-111111111-1-111-1-111-1-111111111111111-1-1-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ141111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11-111-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-11-11-11-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ161111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1711111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1111-11-111-1-1111-11-11-11-11-11-1111111-1-111-1-111-1-1-1-1-111-1-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1811111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1111-11-111-1-1-1-11-11-11-11-11-11-1-1-111-1-111-1-111-1-1111-111-111-1-11-1-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ1911111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1111-11-1-1-111111-11-11-11-11-11-1-1-1-1-111-1-1-1-111-1-111-11-1-1111-11-111-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ2011111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1111-11-1-1-111-1-11-11-11-11-11-11-111-1-1-1-11111-1-111-1-1111-1-1-1-111-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ2111111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-111-11-1111-1-111-11-11-11-11-11-11111111-1-111-1-111-1-1-1-1-111-1-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111
χ2211111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-111-11-1111-1-1-1-1-11-11-11-11-11-11-1-111-1-111-1-111-1-1111-111-111-1-11-1-11-1-111-1-11111-1-111-1-111-1-111-1-1
χ2311111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-111-11-11-1-11111-11-11-11-11-11-11-1-1-1-111-1-1-1-111-1-111-11-1-1111-11-111-111-1-111-1-111-1-111-1-1-1-111-1-111
χ2411111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-111-11-11-1-111-1-1-11-11-11-11-11-1111-1-1-1-11111-1-111-1-1111-1-1-1-111-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1
χ2511111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1111-1-111-1-111-1-11111111-1-111-1-1-1-111-111-1-11-1-1-1-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ2611111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-11-1-111-1-111-1-11-1-111-1-111-1-11111-1-111-1-11-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ2711111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111111-1-111-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111
χ2811111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111-1-11-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1111-1-111-11-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ2911111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-111-1-111-111-1-111-1-111-1111111-1-111-1-1-1-111-111-1-11-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ3011111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-1-1-111-1-111-1-111-1-1-111-1-111-1-11111-1-111-1-11-111-1-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ3111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-111-1-111-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ3211111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-111-1-111-1-111-111-1-1-1-11111-1-1-1-1111-1-1111-1-111-11-111-1-1-1-111-1-11111-1-111-1-1-1-111
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χ392222222222222222-2-2-2-222-2-2-2-2-2-22-222-2-2-2-222-2-2-22222-2-2-222000022220000000000000000-2-20000000000000-20-20000-22200000000000000000000000000
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χ792222-2-2-222-2-222-2-2222-2-2-2-2-2-222-2-2222-2-22-222-2-22-2-222-222-2-22000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
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χ822222-2-2-222-2-222-2-22-2-2222222-2-222-22-22-22-22-22-22-22-22-2-2-22-22-22220000002-2-2-22-2-2-2-222200000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).