Finite Group Databasebeta

← Group #611348

Character table — Group #611348

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111111111111111111111444444444444444444444444888888888888888888888888888888888888888888888888
order12222222222222224444444444444444222244444444444444444444222222224444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ911111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-111
χ181111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1
χ191111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-11111-1-111
χ201111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111111111-1-1
χ211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1
χ221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1111111
χ231111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1
χ241111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-11111
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-111
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1111111-1-111
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111111
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11111
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χ9244-4-4-44444-4-4-44-44-4−4i−4i4i4i4i4i−4i−4i−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ934-444-4-444-4-44-444-4-44i−4i−4i4i4i−4i−4i4i4i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ944-444-4-444-4-44-444-4-4−4i4i4i−4i−4i4i4i−4i−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ954-444-4-44-444-44-4-44-44i−4i−4i4i4i−4i−4i4i−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ964-444-4-44-444-44-4-44-4−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-444-44-4-444-4-44-44i−4i−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-444-44-4-444-4-44-4−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-444-4-444-4-444-4-44i−4i−4i4i−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-444-4-444-4-444-4-4−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-4-44-4444-4-444-44-44-44-4-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-44-4-44-4444-4-44-44-44-44-444-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-44-444-44-444-4-444-44-4-44-444-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-44-444-44-444-4-44-44-444-44-4-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000

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