Finite Group Databasebeta

← Group #645666

Character table — Group #645666

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111111111111222222222222222244444444444444444444888888888888888888888888888888881616161616161616
order12222222222222224444444444444444222244444444444444442244444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ171111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-11-11-11-11-1
χ181111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-111-11-11-11-11
χ191111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-11-11-11-11
χ201111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-111-1-1111-11-11-11-1
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1111-11-1-11-11
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-11-111-11-1
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-11-111-11-1
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-11-11-1-11-11
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-111-1-111-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-11-1-111-1-11
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11-1-11-111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-111-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-111-11-1-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1111-1-11-111-1
χ33222-2-22-222-2-22-2-22-2000000002i2i2i2i−2i−2i−2i−2i22-2-2000000002i2i−2i−2i0000000000000000002i−2i002-20000002i−2i002-200000000
χ34222-2-22-222-2-22-2-22-2000000002i2i2i2i−2i−2i−2i−2i22-2-2000000002i2i−2i−2i000000000000000000−2i2i00-22000000−2i2i00-2200000000
χ35222-2-22-222-2-22-2-22-2000000002i2i2i2i−2i−2i−2i−2i-2-22200000000−2i−2i2i2i0000000000000000002i−2i002-2000000−2i2i00-2200000000
χ36222-2-22-222-2-22-2-22-2000000002i2i2i2i−2i−2i−2i−2i-2-22200000000−2i−2i2i2i000000000000000000−2i2i00-220000002i−2i002-200000000
χ37222-2-22-222-2-22-2-22-200000000−2i−2i−2i−2i2i2i2i2i22-2-200000000−2i−2i2i2i0000000000000000002i−2i00-220000002i−2i00-2200000000
χ38222-2-22-222-2-22-2-22-200000000−2i−2i−2i−2i2i2i2i2i22-2-200000000−2i−2i2i2i000000000000000000−2i2i002-2000000−2i2i002-200000000
χ39222-2-22-222-2-22-2-22-200000000−2i−2i−2i−2i2i2i2i2i-2-222000000002i2i−2i−2i0000000000000000002i−2i00-22000000−2i2i002-200000000
χ40222-2-22-222-2-22-2-22-200000000−2i−2i−2i−2i2i2i2i2i-2-222000000002i2i−2i−2i000000000000000000−2i2i002-20000002i−2i00-2200000000
χ4122-22-2-222-22-2-22-22-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000022-2-20000000000002i−2i002i−2i2-200000000002-20000000000000000
χ4222-22-2-222-22-2-22-22-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000022-2-2000000000000−2i2i00−2i2i-220000000000-220000000000000000
χ4322-22-2-222-22-2-22-22-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000-2-2220000000000002i−2i00−2i2i-2200000000002-20000000000000000
χ4422-22-2-222-22-2-22-22-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000-2-222000000000000−2i2i002i−2i2-20000000000-220000000000000000
χ4522-22-2-222-22-2-22-22-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i00000000-2-2220000000000002i−2i00−2i2i2-20000000000-220000000000000000
χ4622-22-2-222-22-2-22-22-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i00000000-2-222000000000000−2i2i002i−2i-2200000000002-20000000000000000
χ4722-22-2-222-22-2-22-22-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i0000000022-2-20000000000002i−2i002i−2i-220000000000-220000000000000000
χ4822-22-2-222-22-2-22-22-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i0000000022-2-2000000000000−2i2i00−2i2i2-200000000002-20000000000000000
χ492-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i000000002-22-2000000002-22-2002i−2i0000000000002i−2i000000000000000000
χ502-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i000000002-22-200000000-22-2200−2i2i000000000000−2i2i000000000000000000
χ512-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i−2i2i−2i2i−2i2i−2i2i00000000-22-22000000002-2-22002i−2i000000000000−2i2i000000000000000000
χ522-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i−2i2i−2i2i−2i2i−2i2i00000000-22-2200000000-222-200−2i2i0000000000002i−2i000000000000000000
χ532-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i2i−2i2i−2i00000000-22-22000000002-2-2200−2i2i0000000000002i−2i000000000000000000
χ542-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i2i−2i2i−2i00000000-22-2200000000-222-2002i−2i000000000000−2i2i000000000000000000
χ552-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i2i000000002-22-2000000002-22-200−2i2i000000000000−2i2i000000000000000000
χ562-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i2i000000002-22-200000000-22-22002i−2i0000000000002i−2i000000000000000000
χ572-2-2222-2-2-2222-2-22-2000000002i−2i−2i2i−2i2i2i−2i2-22-2000000002i−2i2i−2i00000000000000002-2002i−2i0000002-2002i−2i0000000000
χ582-2-2222-2-2-2222-2-22-2000000002i−2i−2i2i−2i2i2i−2i2-22-2000000002i−2i2i−2i0000000000000000-2200−2i2i000000-2200−2i2i0000000000
χ592-2-2222-2-2-2222-2-22-2000000002i−2i−2i2i−2i2i2i−2i-22-2200000000−2i2i−2i2i00000000000000002-2002i−2i000000-2200−2i2i0000000000
χ602-2-2222-2-2-2222-2-22-2000000002i−2i−2i2i−2i2i2i−2i-22-2200000000−2i2i−2i2i0000000000000000-2200−2i2i0000002-2002i−2i0000000000
χ612-2-2222-2-2-2222-2-22-200000000−2i2i2i−2i2i−2i−2i2i2-22-200000000−2i2i−2i2i00000000000000002-200−2i2i0000002-200−2i2i0000000000
χ622-2-2222-2-2-2222-2-22-200000000−2i2i2i−2i2i−2i−2i2i2-22-200000000−2i2i−2i2i0000000000000000-22002i−2i000000-22002i−2i0000000000
χ632-2-2222-2-2-2222-2-22-200000000−2i2i2i−2i2i−2i−2i2i-22-22000000002i−2i2i−2i00000000000000002-200−2i2i000000-22002i−2i0000000000
χ642-2-2222-2-2-2222-2-22-200000000−2i2i2i−2i2i−2i−2i2i-22-22000000002i−2i2i−2i0000000000000000-22002i−2i0000002-200−2i2i0000000000
χ652-2-2-2-222-2-2-2-22222222-2-2-2-2222-2-222-2-222-2-2222-2-22-2-222-2-2222-2-20000000000000000000000000000000000000000
χ662-2-2-2-222-2-2-2-22222222-2-2-2-2222-2-222-2-22-222-2-2-2222-2-22-222-2-2-2220000000000000000000000000000000000000000
χ672-2-2-2-222-2-2-2-22222222-2-2-2-222-222-2-222-22-2-2222-2-2-222-2-222-2-2-2220000000000000000000000000000000000000000
χ682-2-2-2-222-2-2-2-22222222-2-2-2-222-222-2-222-2-222-2-2-222-222-22-2-2222-2-20000000000000000000000000000000000000000
χ692-2-2-2-222-2-2-2-222222-2-22222-2-22-2-222-2-222-2-22-2-222-222-22-2-22-2-2220000000000000000000000000000000000000000
χ702-2-2-2-222-2-2-2-222222-2-22222-2-22-2-222-2-22-222-222-2-2-222-2-222-222-2-20000000000000000000000000000000000000000
χ712-2-2-2-222-2-2-2-222222-2-22222-2-2-222-2-222-22-2-22-2-2222-2-22-222-222-2-20000000000000000000000000000000000000000
χ722-2-2-2-222-2-2-2-222222-2-22222-2-2-222-2-222-2-222-222-2-22-2-222-2-22-2-2220000000000000000000000000000000000000000
χ7344444-4-4-4-4-4-4444-4-44-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ7444444-4-4-4-4-4-4444-4-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ75444-4-4-44-4-4444-4-4-44000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ76444-4-4-44-4-4444-4-4-4400000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ7744-44-44-4-44-44-44-4-444i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ7844-44-44-4-44-44-44-4-44−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ7944-4-4444-444-4-4-44-4-4000000000000000000004-44-40000000000000000000000000000000000000000000000000000
χ8044-4-4444-444-4-4-44-4-400000000000000000000-44-440000000000000000000000000000000000000000000000000000
χ8144-4-44-4-44-4-44-4-44440000000044-4-4-4-444000000000000000000000000000000000000000000000000000000000000
χ8244-4-44-4-44-4-44-4-444400000000-4-44444-4-4000000000000000000000000000000000000000000000000000000000000
χ834-444-4444-4-44-4-44-4-4000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ844-444-4444-4-44-4-44-4-400000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ854-444-4-4-4-444-4-4-4444000000004-44-4-44-44000000000000000000000000000000000000000000000000000000000000
χ864-444-4-4-4-444-4-4-444400000000-44-444-44-4000000000000000000000000000000000000000000000000000000000000
χ874-44-444-44-44-4-44-4-444i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ884-44-444-44-44-4-44-4-44−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ894-4-444-4444-4-44-4-4-44000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ904-4-444-4444-4-44-4-4-4400000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ914-4-4-4-4-4-44444444-4-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4-4-4-4-44444444-4-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000

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