Finite Group Databasebeta

← Group #396590

Character table — Group #396590

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222222222222222244444444444444444444444444444444888888888888888888888888888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
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χ832-2222-2-2-22-2-22-22-22-22-22-22-22-22-22-222-22-22-22-22-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ842-2222-2-2-22-2-22-22-22-22-22-22-22-22-22-222-22-22-22-22-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ852-22-2-2-2-22-222-222-222-22-2-22-222-222-222-2-22-222-2-2-200000000000000000000000000000000000000000000000000002i−2i2i−2i00000000
χ862-22-2-2-2-22-222-222-222-22-2-22-222-222-222-2-22-222-2-2-20000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ872-22-2-2-2-22-222-222-222-22-2-22-22-22-2-22-2-222-22-2-22220000000000000000000000000000000000000000000000002-22-2000000000000
χ882-22-2-2-2-22-222-222-222-22-2-22-22-22-2-22-2-222-22-2-2222000000000000000000000000000000000000000000000000-22-22000000000000
χ892-22-2-2-2-22-222-222-22-22-222-22-22-222-22-222-22-2-22-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ902-22-2-2-2-22-222-222-22-22-222-22-22-222-22-222-22-2-22-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ912-22-2-2-2-22-222-222-22-22-222-22-2-22-2-22-22-2-22-222-2220000000000000000000000000000000000000000000000002-2-22000000000000
χ922-22-2-2-2-22-222-222-22-22-222-22-2-22-2-22-22-2-22-222-222000000000000000000000000000000000000000000000000-222-2000000000000
χ934-444-44-4-44-44-44-44-4000000000000004i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ944-444-44-4-44-44-44-44-400000000000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ954-44-444-44-44-44-4-44-4000000000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ964-44-444-44-44-44-4-44-400000000000000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ974-4-44444-4-44-4-444-4-4000000004-4-4-4-4400000000440000000000000000000000000000000000000000000000000000000000000000
χ984-4-44444-4-44-4-444-4-400000000-44444-400000000-4-40000000000000000000000000000000000000000000000000000000000000000
χ994-4-44-4-44-4-4444-4-4444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-4-44-4-4444-4-444-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-4444-4-4-44-4444-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-44-4444-4-4-44-444-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-44444-444-44-4-4000000004-4-444-4000000004-40000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-44444-444-44-4-400000000-444-4-4400000000-440000000000000000000000000000000000000000000000000000000000000000

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