Finite Group Databasebeta

← Group #400626

Character table — Group #400626

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222222224444444444444444444444444444444444444444888888888888888888888888888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-11111-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ101111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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χ812-2-22-2-222222-22-2-2-2-22-222-22i−2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i2-20000000000000000000000000000000000000000000000002-22i−2i000000000000
χ822-2-22-2-222222-22-2-2-2-22-222-22i−2i2i−2i−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i2-2000000000000000000000000000000000000000000000000-22−2i2i000000000000
χ832-2-22-2-222222-22-2-2-2-22-222-2−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i2i−2i2-20000000000000000000000000000000000000000000000002-2−2i2i000000000000
χ842-2-22-2-222222-22-2-2-2-22-222-2−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i2i−2i2-2000000000000000000000000000000000000000000000000-222i−2i000000000000
χ852-2-2-2-22222-2-2-2-222222-2-2220000000000000000-2-2000000002-2-222-2-222i−2i−2i2i−2i2i2i−2i00000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ862-2-2-2-22222-2-2-2-222222-2-2220000000000000000-2-2000000002-2-222-2-22−2i2i2i−2i2i−2i−2i2i0000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ872-2-2-2-22222-2-2-2-222222-2-2220000000000000000-2-200000000-222-2-222-22i−2i−2i2i−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ882-2-2-2-22222-2-2-2-222222-2-2220000000000000000-2-200000000-222-2-222-2−2i2i2i−2i2i−2i−2i2i00000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ892-2-2-2-22222-2-2-2-2222-2-222-2-2000000000000000022000000002-2-22-222-2000000002-2-22-222-22-2-22-222-2000000000000000000000000
χ902-2-2-2-22222-2-2-2-2222-2-222-2-2000000000000000022000000002-2-22-222-200000000-222-22-2-22-222-22-2-22000000000000000000000000
χ912-2-2-2-22222-2-2-2-2222-2-222-2-200000000000000002200000000-222-22-2-22000000002-2-22-222-2-222-22-2-22000000000000000000000000
χ922-2-2-2-22222-2-2-2-2222-2-222-2-200000000000000002200000000-222-22-2-2200000000-222-22-2-222-2-22-222-2000000000000000000000000
χ934444-4-44-4-4-4-4-44-4440000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ944444-4-44-4-4-4-4-44-444000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ95444-44-4444-4-44-4-4-4-44-4-44-4400000000000000004-40000000000000000000000000000000000000000000000000000000000000000
χ96444-44-4444-4-44-4-4-4-4-444-44-40000000000000000-440000000000000000000000000000000000000000000000000000000000000000
χ9744-444-4-4-44-44-4-444-44-4-4-44-40000000000000000440000000000000000000000000000000000000000000000000000000000000000
χ9844-444-4-4-44-44-4-444-4-4444-440000000000000000-4-40000000000000000000000000000000000000000000000000000000000000000
χ9944-4-4-4-4-44-4-44444-440000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ10044-4-4-4-4-44-4-44444-44000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4444-4-44-44-4-4-44-44000000000000004i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1024-4444-4-44-44-4-4-44-4400000000000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-44-44-4-4444-4-444000000000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-44-44-4-4444-4-44400000000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000

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