Finite Group Databasebeta

← Group #6548073

Character table — Group #6548073

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size11111111222222222222222244444444444444444444444488888888888888888888888888888888888161616161616
order12222222222244444444444444444444444444448888888822222444444444444444444888888888888244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11111-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ611111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-11
χ711111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11111-111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-11
χ811111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11111-1-11111-1-11-1
χ9111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-1-11111111111-11111-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ10111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ11111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ12111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ13111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1
χ14111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-11
χ15111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-11
χ16111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1111-1
χ1711111111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-1-1-1111111111111-111-1-1111-1-111-1-1-111-1-1111111-1-111-1-1-1-1-1-1-11-11-1-1
χ1811111111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-1-1-1111111111111-1-1-1111-1-111-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-11-111
χ1911111111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-11111111-11-111
χ2011111111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-1111111-1-111-1-1111111-11-11-1-1
χ2111111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111-1-1-11111-1-11-1-1-1-11111-1-111-1-1-1-111-1-111-111-1-11
χ2211111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-1111-1-111-1
χ2311111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111-1-1-11111-1-11-1-1-1-111-1-111-1-11111-1-111-1-11-1-111-1
χ2411111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1-1-1-11111111-1-111-1-1-1-11111-1-111-1-1-111-1-11
χ2511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111111111111-1-1-1-1-111-1-1-11111-1-11111-1-111-1-111-1-1-1-11-11-1-1-1
χ2611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111111111111-1-111-111-1-111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11-1111
χ2711111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-111-1-11111-11-1111
χ2811111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-111-111-1-111-1-1-1-1-111111111-1-111-1-111111-11-1-1-1
χ2911111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1111-1-11-11
χ3011111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-11-1-111-1-1-1-111-1-11111-1-1-1-111-111-11-1
χ3111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11-1-1-1-111111-1-111-1-11111-1-1-1-11111-1-1-111-11-1
χ3211111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-11-1-111-1-111-1-111-1-1-1-11111-1-11-1-11-11
χ332222222222222222-22222-2-2-2-2-2222222-2-222-2-2-2-200000000-20000-2000000-20000000000000000000000000000
χ342222222222222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000020000200000020000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222-2-200000000200002000000-20000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-222222200000000-20000-200000020000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-20000000020000-200000020000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-22222-2-22200000000-200002000000-20000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-222-2-2-2-2222222-2-200000000-20000200000020000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2222222-2-222220000000020000-2000000-20000000000000000000000000000
χ41222-2-2-22-222-2-222-2-2022-2-2000002i−2i2i−2i2i−2i002i−2i000022−2−2i2i2−i2−i2000000000000000000000002−22−2i2−i2i2−i22−2i2−i2000000
χ42222-2-2-22-222-2-222-2-2022-2-2000002i−2i2i−2i2i−2i002i−2i0000−2−222−i2−i2i2i200000000000000000000000−22−22−i2i2−i2i2−22−i2i2000000
χ43222-2-2-22-222-2-222-2-2022-2-200000−2i2i−2i2i−2i2i00−2i2i000022−2−2−i2−i2i2i2000000000000000000000002−22−2−i2i2−i2i22−2−i2i2000000
χ44222-2-2-22-222-2-222-2-2022-2-200000−2i2i−2i2i−2i2i00−2i2i0000−2−222i2i2−i2−i200000000000000000000000−22−22i2−i2i2−i2−22i2−i2000000
χ45222-2-2-22-222-2-2-2-2220-2-222000002i−2i2i−2i−2i2i00−2i2i000022−2−2i2i2−i2−i200000000000000000000000−22−22−i2i2−i2i22−2i2−i2000000
χ46222-2-2-22-222-2-2-2-2220-2-222000002i−2i2i−2i−2i2i00−2i2i0000−2−222−i2−i2i2i2000000000000000000000002−22−2i2−i2i2−i2−22−i2i2000000
χ47222-2-2-22-222-2-2-2-2220-2-22200000−2i2i−2i2i2i−2i002i−2i000022−2−2−i2−i2i2i200000000000000000000000−22−22i2−i2i2−i22−2−i2i2000000
χ48222-2-2-22-222-2-2-2-2220-2-22200000−2i2i−2i2i2i−2i002i−2i0000−2−222i2i2−i2−i2000000000000000000000002−22−2−i2i2−i2i2−22i2−i2000000
χ49222-2-2-22-2-2-22222-2-20-2-222000002i−2i−2i2i2i−2i00−2i2i000022−2−2i2i2−i2−i2000000000000000000000002−2−22i2−i2−i2i2−22−i2i2000000
χ50222-2-2-22-2-2-22222-2-20-2-222000002i−2i−2i2i2i−2i00−2i2i0000−2−222−i2−i2i2i200000000000000000000000−222−2−i2i2i2−i22−2i2−i2000000
χ51222-2-2-22-2-2-22222-2-20-2-22200000−2i2i2i−2i−2i2i002i−2i000022−2−2−i2−i2i2i2000000000000000000000002−2−22−i2i2i2−i2−22i2−i2000000
χ52222-2-2-22-2-2-22222-2-20-2-22200000−2i2i2i−2i−2i2i002i−2i0000−2−222i2i2−i2−i200000000000000000000000−222−2i2−i2−i2i22−2−i2i2000000
χ53222-2-2-22-2-2-222-2-222022-2-2000002i−2i−2i2i−2i2i002i−2i000022−2−2i2i2−i2−i200000000000000000000000−222−2−i2i2i2−i2−22−i2i2000000
χ54222-2-2-22-2-2-222-2-222022-2-2000002i−2i−2i2i−2i2i002i−2i0000−2−222−i2−i2i2i2000000000000000000000002−2−22i2−i2−i2i22−2i2−i2000000
χ55222-2-2-22-2-2-222-2-222022-2-200000−2i2i2i−2i2i−2i00−2i2i000022−2−2−i2−i2i2i200000000000000000000000−222−2i2−i2−i2i2−22i2−i2000000
χ56222-2-2-22-2-2-222-2-222022-2-200000−2i2i2i−2i2i−2i00−2i2i0000−2−222i2i2−i2−i2000000000000000000000002−2−22−i2i2i2−i22−2−i2i2000000
χ5722-2-222-2-22-22-22i−2i2i−2i22i−2i2i−2i-2-222i−2i0000002-2002i−2i0000000000000000002-22-20002i−2i2i−2i0000000000000000000000
χ5822-2-222-2-22-22-22i−2i2i−2i22i−2i2i−2i-2-222i−2i0000002-2002i−2i000000000000000000-22-22000−2i2i−2i2i0000000000000000000000
χ5922-2-222-2-22-22-22i−2i2i−2i-22i−2i2i−2i22-2−2i2i000000-2200−2i2i000000000002-22-202i−2i000002i−2i00000000000000000000000000
χ6022-2-222-2-22-22-22i−2i2i−2i-22i−2i2i−2i22-2−2i2i000000-2200−2i2i00000000000-22-220−2i2i00000−2i2i00000000000000000000000000
χ6122-2-222-2-22-22-2−2i2i−2i2i2−2i2i−2i2i-2-22−2i2i0000002-200−2i2i0000000000000000002-22-2000−2i2i−2i2i0000000000000000000000
χ6222-2-222-2-22-22-2−2i2i−2i2i2−2i2i−2i2i-2-22−2i2i0000002-200−2i2i000000000000000000-22-220002i−2i2i−2i0000000000000000000000
χ6322-2-222-2-22-22-2−2i2i−2i2i-2−2i2i−2i2i22-22i−2i000000-22002i−2i000000000002-22-20−2i2i00000−2i2i00000000000000000000000000
χ6422-2-222-2-22-22-2−2i2i−2i2i-2−2i2i−2i2i22-22i−2i000000-22002i−2i00000000000-22-2202i−2i000002i−2i00000000000000000000000000
χ6522-2-222-2-2-22-222i−2i2i−2i2−2i2i−2i2i-2-22−2i2i000000-22002i−2i0000000000000000002-2-22000−2i2i2i−2i0000000000000000000000
χ6622-2-222-2-2-22-222i−2i2i−2i2−2i2i−2i2i-2-22−2i2i000000-22002i−2i000000000000000000-222-20002i−2i−2i2i0000000000000000000000
χ6722-2-222-2-2-22-222i−2i2i−2i-2−2i2i−2i2i22-22i−2i0000002-200−2i2i000000000002-2-2202i−2i00000−2i2i00000000000000000000000000
χ6822-2-222-2-2-22-222i−2i2i−2i-2−2i2i−2i2i22-22i−2i0000002-200−2i2i00000000000-222-20−2i2i000002i−2i00000000000000000000000000
χ6922-2-222-2-2-22-22−2i2i−2i2i22i−2i2i−2i-2-222i−2i000000-2200−2i2i0000000000000000002-2-220002i−2i−2i2i0000000000000000000000
χ7022-2-222-2-2-22-22−2i2i−2i2i22i−2i2i−2i-2-222i−2i000000-2200−2i2i000000000000000000-222-2000−2i2i2i−2i0000000000000000000000
χ7122-2-222-2-2-22-22−2i2i−2i2i-22i−2i2i−2i22-2−2i2i0000002-2002i−2i000000000002-2-220−2i2i000002i−2i00000000000000000000000000
χ7222-2-222-2-2-22-22−2i2i−2i2i-22i−2i2i−2i22-2−2i2i0000002-2002i−2i00000000000-222-202i−2i00000−2i2i00000000000000000000000000
χ7344-44-4-4-444-4-444i−4i−4i4i04i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ7444-44-4-4-444-4-44−4i4i4i−4i0−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ7544-44-4-4-44-444-44i−4i−4i4i0−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ7644-44-4-4-44-444-4−4i4i4i−4i04i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ774-44-4-44-4400000000400004-4-400000000000000000000000000000000000000000004i−4i00000000000000000000
χ784-44-4-44-4400000000400004-4-40000000000000000000000000000000000000000000−4i4i00000000000000000000
χ794-44-4-44-4400000000-40000-4440000000000000000000000000000000000000000000004-4000000000000000000
χ804-44-4-44-4400000000-40000-444000000000000000000000000000000000000000000000-44000000000000000000
χ814-4-44-444-40000000040000-44-4000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000
χ824-4-44-444-40000000040000-44-400000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000
χ834-4-44-444-400000000-400004-4400000000000000004-44-4000000000000000000000000000000000000000000000
χ844-4-44-444-400000000-400004-440000000000000000-44-44000000000000000000000000000000000000000000000
χ854-4-4-44-4440000000000000000000000000000004-422−22−222222−22−222200000000000000000000000000000000000000000
χ864-4-4-44-4440000000000000000000000000000004-4−222222−22−222222−2200000000000000000000000000000000000000000
χ874-4-4-44-444000000000000000000000000000000-4422−22−2222−222222−2200000000000000000000000000000000000000000
χ884-4-4-44-444000000000000000000000000000000-44−222222−2222−22−222200000000000000000000000000000000000000000
χ898-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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