Finite Group Databasebeta

← Group #328461

Character table — Group #328461

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444448888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-1-1-11111-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ1111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-11
χ1211111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-1
χ1311111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ1411111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ1511111111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ17222222222222222-2-2-22-222-2-2-2-2222200-2-2-2-2-20000000000000000000000000000
χ18222222222222222-2-2-22-222-2-2-2-2-2-2-2-200-222220000000000000000000000000000
χ1922222222222-2-2-2-2-2-2-22-2-2-222-2-222-2-2002-2-2220000000000000000000000000000
χ2022222222222-2-2-2-2-2-2-22-2-2-222-2-2-2-22200222-2-20000000000000000000000000000
χ2122222222-2-2-22222222-22-2-222-2-2000022-20000-2-2-2-2220000000000000000000000
χ2222222222-2-2-22222222-22-2-222-2-20000-2-2-200002222-2-20000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2-2-22200000020000000000000000002-22-20000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-2220000002000000000000000000-22-220000000000
χ2522222222-2-2-2-2-2-2-2222-2222-2-2-2-200002220000-2-222-2-20000000000000000000000
χ2622222222-2-2-2-2-2-2-2222-2222-2-2-2-20000-2-22000022-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000000000-222-20000000000
χ29222-22-2-2-22-2-222-2-2000202-2000000000002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i200002−22−2000000
χ30222-22-2-2-22-2-222-2-2000202-2000000000002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i20000−22−22000000
χ31222-22-2-2-22-2-222-2-2000202-200000000000−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i20000−22−22000000
χ32222-22-2-2-22-2-222-2-2000202-200000000000−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i200002−22−2000000
χ33222-22-2-2-22-2-2-2-22200020-22000000000002i−2i−2i2i000000i2i2−i2−i2−i2−i2i2i200002−2−22000000
χ34222-22-2-2-22-2-2-2-22200020-22000000000002i−2i−2i2i000000−i2−i2i2i2i2i2−i2−i20000−222−2000000
χ35222-22-2-2-22-2-2-2-22200020-2200000000000−2i2i2i−2i000000i2i2−i2−i2−i2−i2i2i20000−222−2000000
χ36222-22-2-2-22-2-2-2-22200020-2200000000000−2i2i2i−2i000000−i2−i2i2i2i2i2−i2−i200002−2−22000000
χ372-2-222-2-220002-22-222-20-2002-200000000000002i−2i2i−2i002−22−22−22−200000000i2−i2i2−i200
χ382-2-222-2-220002-22-222-20-2002-200000000000002i−2i2i−2i00−22−22−22−2200000000−i2i2−i2i200
χ392-2-222-2-220002-22-222-20-2002-20000000000000−2i2i−2i2i002−22−22−22−200000000−i2i2−i2i200
χ402-2-222-2-220002-22-222-20-2002-20000000000000−2i2i−2i2i00−22−22−22−2200000000i2−i2i2−i200
χ412-2-222-2-22000-22-2222-20-200-2200000000000002i−2i−2i2i002−22−2−22−2200000000i2−i2−i2i200
χ422-2-222-2-22000-22-2222-20-200-2200000000000002i−2i−2i2i00−22−222−22−200000000−i2i2i2−i200
χ432-2-222-2-22000-22-2222-20-200-220000000000000−2i2i2i−2i002−22−2−22−2200000000−i2i2i2−i200
χ442-2-222-2-22000-22-2222-20-200-220000000000000−2i2i2i−2i00−22−222−22−200000000i2−i2−i2i200
χ45444-44-4-4-4-44444-4-4000-40-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-444-4-444000-404-40000000000000000000000000000000000000000000
χ4744-44-44-4-444-40000000-400000004-40000000000000000000000000000000000000
χ4844-44-44-4-444-40000000-40000000-440000000000000000000000000000000000000
χ4944-44-44-4-4-4-44000000040000000004i−4i00000000000000000000000000000000000
χ5044-44-44-4-4-4-4400000004000000000−4i4i00000000000000000000000000000000000
χ5144-4-4-4-4444-4400004-44-4-400004-4000000000000000000000000000000000000000
χ5244-4-4-4-4444-440000-44-4-440000-44000000000000000000000000000000000000000
χ5344-4-4-4-444-44-400004-444-40000-44000000000000000000000000000000000000000
χ5444-4-4-4-444-44-40000-44-44400004-4000000000000000000000000000000000000000
χ554-44-4-44-4400000004-4-4040000000000000000000004-40000000000000000000000
χ564-44-4-44-4400000004-4-404000000000000000000000-440000000000000000000000
χ574-44-4-44-440000000-4440-400000000004i−4i000000000000000000000000000000000
χ584-44-4-44-440000000-4440-40000000000−4i4i000000000000000000000000000000000
χ594-4-444-4-440004-44-4-4-440400-4400000000000000000000000000000000000000000
χ604-4-444-4-44000-44-44-4-4404004-400000000000000000000000000000000000000000
χ614-4-4-4444-40004-4-4400000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ624-4-4-4444-40004-4-440000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ634-4-4-4444-4000-444-400000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ644-4-4-4444-4000-444-40000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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