Finite Group Databasebeta

← Group #6471073

Character table — Group #6471073

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111122222222222222224444444444444444444444888888888888888888888888888888881616161616161616
order12222222444444444444444422224444444444444444442224444444444444888888888888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-11-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-111-1-11111-1-1111111-111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-11-1-11-1
χ611111111111111111111111111-1-1-1-111-1-11111-1-1111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11-111-11
χ711111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-11
χ811111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-11111111111-11-1-11-1
χ9111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1-111111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11-1111-1-1-1
χ10111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1-111111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1111
χ11111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-11-1-111-1-1-1111111111-1-1-1-11111-1-1-1-1-11-1-1-1111
χ12111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-11-1-111-1-1-111111-1-1-1-11111-1-1-1-111111-1111-1-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-11-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-11-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-111-11-11-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111-111-1-1-1-1-1-111111111-1-1-1-11-1-11-11-11
χ1711111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-111-1-111-1-11-1-11
χ1811111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-111-1-111-1-111-111-1
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11111-1-1-1111-1-111-1-111-1-111-1-111-1-1-1-111-111-1
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11111-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-11-1-11
χ2111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1111111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-1-11-1-1
χ2211111111-1-1-1-11111-1-1-1-1111111-1-111-1-1111111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-111-111
χ2311111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1111111-1-111-1-1-1-111-1-111-1-1-111-111
χ2411111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-11111-1-111-1-11111-1-111-1-1111-1-11-1-1
χ2511111111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1111-1
χ2611111111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-11
χ2711111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-11
χ2811111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-11-1-111-1-11111-1-1-1-11111-1-11-1-1-1111-1
χ2911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-11-1-1-111
χ3011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-11-1111-1-1
χ3111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-1111-1-1
χ3211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-111-1-1-1-1-1-1-11111-1-111-1-1-1-1111-11-1-1-111
χ3322222222222222222222-2-2-2-2-2-22222-2-222000022-2-20000-200-20000-200-20000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200002002000020020000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222220000-2-2-2-20000200-20000200-20000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2000022-2-20000-20020000-20020000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-222-2-2000022220000-20020000200-20000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222220000-2-2220000200-20000-20020000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-20000-2-222000020020000-200-20000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-2-222000022220000-200-2000020020000000000000000000000000000
χ412-222-2-22-22i2i−2i−2i22-2-22i2i−2i−2i22-2-22-200002i−2i000000002i−2i000000002-22-202i−2i0002i−2i000000000000000000000000
χ422-222-2-22-22i2i−2i−2i22-2-22i2i−2i−2i22-2-22-200002i−2i000000002i−2i00000000-22-220−2i2i000−2i2i000000000000000000000000
χ432-222-2-22-22i2i−2i−2i22-2-22i2i−2i−2i-2-222-220000−2i2i002i2i−2i−2i00−2i2i2i2i−2i−2i02-20000000002-200000000000000000000000000
χ442-222-2-22-22i2i−2i−2i22-2-22i2i−2i−2i-2-222-220000−2i2i00−2i−2i2i2i00−2i2i−2i−2i2i2i0-22000000000-2200000000000000000000000000
χ452-222-2-22-22i2i−2i−2i-2-222−2i−2i2i2i22-2-2-220000−2i2i000000002i−2i000000002-2-2202i−2i000−2i2i000000000000000000000000
χ462-222-2-22-22i2i−2i−2i-2-222−2i−2i2i2i22-2-2-220000−2i2i000000002i−2i00000000-222-20−2i2i0002i−2i000000000000000000000000
χ472-222-2-22-22i2i−2i−2i-2-222−2i−2i2i2i-2-2222-200002i−2i002i2i−2i−2i00−2i2i−2i−2i2i2i02-2000000000-2200000000000000000000000000
χ482-222-2-22-22i2i−2i−2i-2-222−2i−2i2i2i-2-2222-200002i−2i00−2i−2i2i2i00−2i2i2i2i−2i−2i0-220000000002-200000000000000000000000000
χ492-222-2-22-2−2i−2i2i2i22-2-2−2i−2i2i2i22-2-22-20000−2i2i00000000−2i2i000000002-22-20−2i2i000−2i2i000000000000000000000000
χ502-222-2-22-2−2i−2i2i2i22-2-2−2i−2i2i2i22-2-22-20000−2i2i00000000−2i2i00000000-22-2202i−2i0002i−2i000000000000000000000000
χ512-222-2-22-2−2i−2i2i2i22-2-2−2i−2i2i2i-2-222-2200002i−2i002i2i−2i−2i002i−2i2i2i−2i−2i0-22000000000-2200000000000000000000000000
χ522-222-2-22-2−2i−2i2i2i22-2-2−2i−2i2i2i-2-222-2200002i−2i00−2i−2i2i2i002i−2i−2i−2i2i2i02-20000000002-200000000000000000000000000
χ532-222-2-22-2−2i−2i2i2i-2-2222i2i−2i−2i22-2-2-2200002i−2i00000000−2i2i000000002-2-220−2i2i0002i−2i000000000000000000000000
χ542-222-2-22-2−2i−2i2i2i-2-2222i2i−2i−2i22-2-2-2200002i−2i00000000−2i2i00000000-222-202i−2i000−2i2i000000000000000000000000
χ552-222-2-22-2−2i−2i2i2i-2-2222i2i−2i−2i-2-2222-20000−2i2i002i2i−2i−2i002i−2i−2i−2i2i2i0-220000000002-200000000000000000000000000
χ562-222-2-22-2−2i−2i2i2i-2-2222i2i−2i−2i-2-2222-20000−2i2i00−2i−2i2i2i002i−2i2i2i−2i−2i02-2000000000-2200000000000000000000000000
χ572-22-222-2-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i002-200002i−2i00000000000000000000002−22−2i2−i2i2−i22−22−2i2−i2i2−i200000000
χ582-22-222-2-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i002-200002i−2i0000000000000000000000−22−22−i2i2−i2i2−22−22−i2i2−i2i200000000
χ592-22-222-2-22-22-22i−2i2i−2i2i−2i2i−2i000000-22−2i2i00-220000−2i2i00000000000000000000002−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000
χ602-22-222-2-22-22-22i−2i2i−2i2i−2i2i−2i000000-22−2i2i00-220000−2i2i0000000000000000000000−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000
χ612-22-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i002-20000−2i2i00000000000000000000002−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000
χ622-22-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i002-20000−2i2i0000000000000000000000−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000
χ632-22-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000-222i−2i00-2200002i−2i00000000000000000000002−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000
χ642-22-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000-222i−2i00-2200002i−2i0000000000000000000000−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000
χ652-22-222-2-2-22-222i−2i2i−2i−2i2i−2i2i0000002-2−2i2i00-2200002i−2i00000000000000000000002−2−22i2−i2−i2i22−2−22i2−i2−i2i200000000
χ662-22-222-2-2-22-222i−2i2i−2i−2i2i−2i2i0000002-2−2i2i00-2200002i−2i0000000000000000000000−222−2−i2i2i2−i2−222−2−i2i2i2−i200000000
χ672-22-222-2-2-22-222i−2i2i−2i−2i2i−2i2i000000-222i−2i002-20000−2i2i00000000000000000000002−2−22i2−i2−i2i2−222−2−i2i2i2−i200000000
χ682-22-222-2-2-22-222i−2i2i−2i−2i2i−2i2i000000-222i−2i002-20000−2i2i0000000000000000000000−222−2−i2i2i2−i22−2−22i2−i2−i2i200000000
χ692-22-222-2-2-22-22−2i2i−2i2i2i−2i2i−2i0000002-22i−2i00-220000−2i2i00000000000000000000002−2−22−i2i2i2−i22−2−22−i2i2i2−i200000000
χ702-22-222-2-2-22-22−2i2i−2i2i2i−2i2i−2i0000002-22i−2i00-220000−2i2i0000000000000000000000−222−2i2−i2−i2i2−222−2i2−i2−i2i200000000
χ712-22-222-2-2-22-22−2i2i−2i2i2i−2i2i−2i000000-22−2i2i002-200002i−2i00000000000000000000002−2−22−i2i2i2−i2−222−2i2−i2−i2i200000000
χ722-22-222-2-2-22-22−2i2i−2i2i2i−2i2i−2i000000-22−2i2i002-200002i−2i0000000000000000000000−222−2i2−i2−i2i22−2−22−i2i2i2−i200000000
χ73444-4-4-4-444i−4i−4i4i4i−4i−4i4i-444-4000000000000000000000000000000000000000000000000000000000000000000
χ74444-4-4-4-444i−4i−4i4i−4i4i4i−4i4-4-44000000000000000000000000000000000000000000000000000000000000000000
χ75444-4-4-4-44−4i4i4i−4i4i−4i−4i4i4-4-44000000000000000000000000000000000000000000000000000000000000000000
χ76444-4-4-4-44−4i4i4i−4i−4i4i4i−4i-444-4000000000000000000000000000000000000000000000000000000000000000000
χ7744-4-44-44-40000000000004-44-40000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ7844-4-44-44-40000000000004-44-4000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ7944-4-44-44-4000000000000-44-4400000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ8044-4-44-44-4000000000000-44-440000000000−4i4i−4i4i000000000000000000000000000000000000000000000000
χ814-4-4-4-44440000000000004-4-4400000000004-4-44000000000000000000000000000000000000000000000000
χ824-4-4-4-44440000000000004-4-440000000000-444-4000000000000000000000000000000000000000000000000
χ834-4-4-4-4444000000000000-444-40000000000000000004-4-440000000000000000000000000000000000000000
χ844-4-4-4-4444000000000000-444-4000000000000000000-444-40000000000000000000000000000000000000000
χ8588-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-888-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000

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