Finite Group Databasebeta

← Group #260186

Character table — Group #260186

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888822444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1111-1-11-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ711111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ811111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1
χ91111111111111-1-1-1-11111-1-11111-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1
χ101111111111111-1-1-1-11111-1-11111-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-111-1-111-1-111
χ111111111111111-1-1-1-11111-1-11111-1-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11-1-111-1-1-1-111
χ121111111111111-1-1-1-11111-1-11111-1-11-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1111111-1-1
χ131111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-111
χ141111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-111-1-1
χ151111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-1-1
χ161111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1111-1-1-1-1-1-111
χ172222222222-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2220000000000000000000000000000000000
χ182222222222-2-2-2222222-2-2-2-2-2-2-2-222-222-222-2-20000000000000000000000000000000000
χ192222222222-2-2-2-2-2-2-222-2-2222222-2-2-2222-2-2-2-20000000000000000000000000000000000
χ202222222222-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2222220000000000000000000000000000000000
χ2122222222-2-22222222-2-22-2220000-2-2-200-200002222000000000000000000-2-20000000000
χ2222222222-2-22222222-2-22-2220000-2-2-200-20000-2-2-2-2000000000000000000220000000000
χ2322222222-2-2222-2-2-2-2-2-22-2-2-2000022-2002000022-2-2000000000000000000-220000000000
χ2422222222-2-2222-2-2-2-2-2-22-2-2-2000022-20020000-2-2220000000000000000002-20000000000
χ2522222222-2-2-2-2-22222-2-2-22-2-20000-2-2200200000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-22222-2-2-22-2-20000-2-220020000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222000022200-200000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222000022200-20000000000000000000000000000-222-2000000
χ29222-2-2-22-22-222-200002-2-2-2002i2i−2i−2i0020002i−2i0000002i2i−2i−2i0000000000002-2000000000000
χ30222-2-2-22-22-222-200002-2-2-2002i2i−2i−2i0020002i−2i000000−2i−2i2i2i000000000000-22000000000000
χ31222-2-2-22-22-222-200002-2-2-200−2i−2i2i2i002000−2i2i0000002i2i−2i−2i000000000000-22000000000000
χ32222-2-2-22-22-222-200002-2-2-200−2i−2i2i2i002000−2i2i000000−2i−2i2i2i0000000000002-2000000000000
χ33222-2-2-22-22-2-2-2200002-222002i2i−2i−2i00-2000−2i2i000000000022-2-200000000000000002i−2i0000
χ34222-2-2-22-22-2-2-2200002-222002i2i−2i−2i00-2000−2i2i0000000000-2-2220000000000000000−2i2i0000
χ35222-2-2-22-22-2-2-2200002-22200−2i−2i2i2i00-20002i−2i000000000022-2-20000000000000000−2i2i0000
χ36222-2-2-22-22-2-2-2200002-22200−2i−2i2i2i00-20002i−2i0000000000-2-22200000000000000002i−2i0000
χ3722-2-2-22-222200022-2-2-2-200002i−2i2i−2i2-20000002i−2i000000000000i2i2−i2−i2i2i2−i2−i200000000002−22−2
χ3822-2-2-22-222200022-2-2-2-200002i−2i2i−2i2-20000002i−2i000000000000−i2−i2i2i2−i2−i2i2i20000000000−22−22
χ3922-2-2-22-222200022-2-2-2-20000−2i2i−2i2i2-2000000−2i2i000000000000i2i2−i2−i2i2i2−i2−i20000000000−22−22
χ4022-2-2-22-222200022-2-2-2-20000−2i2i−2i2i2-2000000−2i2i000000000000−i2−i2i2i2−i2−i2i2i200000000002−22−2
χ4122-2-2-22-2222000-2-222-2-200002i−2i2i−2i-22000000−2i2i000000000000i2i2−i2−i2−i2−i2i2i200000000002−2−22
χ4222-2-2-22-2222000-2-222-2-200002i−2i2i−2i-22000000−2i2i000000000000−i2−i2i2i2i2i2−i2−i20000000000−222−2
χ4322-2-2-22-2222000-2-222-2-20000−2i2i−2i2i-220000002i−2i000000000000i2i2−i2−i2−i2−i2i2i20000000000−222−2
χ4422-2-2-22-2222000-2-222-2-20000−2i2i−2i2i-220000002i−2i000000000000−i2−i2i2i2i2i2−i2−i200000000002−2−22
χ452-2-2-22-222002-2-22-22-200202-2000000000000002-22-22−22−22−22−22−22−22−22−200000000000000
χ462-2-2-22-222002-2-22-22-200202-2000000000000002-22-2−22−22−22−22−22−22−22−2200000000000000
χ472-2-2-22-222002-2-22-22-200202-200000000000000-22-222−22−22−22−2−22−22−22−2200000000000000
χ482-2-2-22-222002-2-22-22-200202-200000000000000-22-22−22−22−22−222−22−22−22−200000000000000
χ492-2-2-22-222002-2-2-22-220020-22000000000000002-2-222−22−2−22−222−22−2−22−2200000000000000
χ502-2-2-22-222002-2-2-22-220020-22000000000000002-2-22−22−222−22−2−22−222−22−200000000000000
χ512-2-2-22-222002-2-2-22-220020-2200000000000000-222-22−22−2−22−22−22−222−22−200000000000000
χ522-2-2-22-222002-2-2-22-220020-2200000000000000-222-2−22−222−22−22−22−2−22−2200000000000000
χ53444-4-4-44-4-4444-40000-44-4400000000-400000000000000000000000000000000000000000
χ54444-4-4-44-4-44-4-440000-444-400000000400000000000000000000000000000000000000000
χ5544-444-4-4-44-40000000-4400004-4-4400000000000000000000000000000000000000000000
χ5644-444-4-4-44-40000000-440000-444-400000000000000000000000000000000000000000000
χ5744-444-4-4-4-4400000004-4000000000004-4000000000000000000000000000000000000000
χ5844-444-4-4-4-4400000004-400000000000-44000000000000000000000000000000000000000
χ5944-4-4-44-44-4-400044-4-44400000000-44000000000000000000000000000000000000000000
χ6044-4-4-44-44-4-4000-4-44444000000004-4000000000000000000000000000000000000000000
χ614-444-4-4-44000004-4-44000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ624-444-4-4-44000004-4-4400000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ634-444-4-4-4400000-444-4000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ644-444-4-4-4400000-444-400000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ654-4-44-444-4004-44000000-40000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ664-4-44-444-4004-44000000-4000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ674-4-44-444-400-44-40000004000000000000000000000000022−22−22220000000000000000000000
χ684-4-44-444-400-44-400000040000000000000000000000000−222222−220000000000000000000000
χ694-4-4-44-44400-4444-44-400-40-44000000000000000000000000000000000000000000000000
χ704-4-4-44-44400-444-44-4400-404-4000000000000000000000000000000000000000000000000
χ718-88-888-8-8000000000000000000000000000000000000000000000000000000000000000

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