Finite Group Databasebeta

← Group #6584921

Character table — Group #6584921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12222222444444444444444488888888444444444444444444444488888888888822224444444444448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-11111-1-1
χ9111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11-11111-1-1-1-11-111-1-11-1
χ10111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11-1-1-1-11111-11-1-111-11
χ11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111111-11111-1-1-1-1-11-1-111-11
χ12111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-111-1-11111-11-1-1-1-111111-111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-111-1-1-1-111111-1-1-1-1-11111-1111-1-1-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1111-1-1-1-11111-111111-1-1-1-11-1-1-1111-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-11-1-1-1-1-111111-1-1-1111-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-11-1-11111-1-1-1-1-111111-1-1-1-1-1111-1-1-11
χ1711111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111-1-1-1111-1-111-1-1-111-11-11-1
χ1811111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-11-1-1-111-1-1111-1-11-11-11
χ1911111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111-111-1-111-1-111-1111-1-111-1-11-1-11-11-11
χ2011111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1111-1-111-1-1111-1-1-111-1-111-111-11-11-1
χ2111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11-1-1-11111-1-111-11-1-111-1-1111-11-11-1-11
χ2211111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-11-1-11111-1-1111-111-1-111-1-1-11-11-111-1
χ2311111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111111-111-1-1-1-111-1-1-11-1-111-1-111-11-11-111-1
χ2411111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1111111-1111-1-1-1-111-1-11-111-1-111-1-11-11-11-1-11
χ2511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-1-1111
χ2611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-111-1-1-1
χ2711111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-11111-111-1-1-1
χ2811111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-11-1-1111
χ2911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-11-1-1
χ3011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-111-111
χ3111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-111
χ3211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111-1-11-1-1
χ3322222222222222222222-2-2-2-200000000-2-2-2-2-2-2000000002222222200000000000000-2-20000000000-2-20000000000000000
χ3422222222222222222222-2-2-2-200000000-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000220000000000220000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-22222000000002222-2-2-2-200000000000000-220000000000-220000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2222200000000-2-2-2-22222000000000000002-200000000002-20000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-2220000000022-2-222-2-200000000000000-2200000000002-20000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-22200000000-2-222-2-222000000000000002-20000000000-220000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2000000002222-2-20000000022-2-2-2-22200000000000000-2-20000000000220000000000000000
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χ934-44-44-44-400000000-444-400002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i200000000000000000000000000000000
χ944-44-44-44-400000000-444-40000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i200000000000000000000000000000000
χ954-4-4444-4-44i−4i4i−4i000000004-4-4400000000−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ964-4-4444-4-4−4i4i−4i4i000000004-4-44000000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ974-4-4-4-4444000000004-44-444-4-4000000000000-44000000000000000000000000000000000000000000000000000000000000
χ984-4-4-4-444400000000-44-4444-4-40000000000004-4000000000000000000000000000000000000000000000000000000000000

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