Finite Group Databasebeta

← Group #171794

Character table — Group #171794

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222222244444444444422444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-11-111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111
χ911111111-1-1-1-11-1-111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-111-1-11-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-11111-1-1
χ1311111111-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-11-111-1-1-111-1-11111-1-1
χ1411111111-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-11111-11-111-111-1-111-1-1-1-111
χ1511111111-1-1-1-11-1-111-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-111
χ1611111111-1-1-1-11-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-11111-1-111-1-1
χ17222222222222222-2-2-2-2-2-22-2-20000002200-2-20000000000020-2000000000000
χ18222222222222222-2-2-2-2-2-22-2-2000000-2-2002200000000000-202000000000000
χ19222222222222-2-2-22-222-2-2-22-200002200220000000000-2-20000000000000000
χ20222222222222-2-2-22-222-2-2-22-20000-2-200-2-20000000000220000000000000000
χ21222222222222-2-2-2-22-2-222-2-222222000000000000000000-20-20000000000000
χ22222222222222-2-2-2-22-2-222-2-22-2-2-2-20000000000000000002020000000000000
χ2322222222-2-2-2-22-2-2-2-222222-2-200000022002200000000000-20-2000000000000
χ2422222222-2-2-2-22-2-2-2-222222-2-2000000-2-200-2-200000000000202000000000000
χ2522222222-2-2-2-2-2222-2-2-222-22-200002200-2-200000000002-20000000000000000
χ2622222222-2-2-2-2-2222-2-2-222-22-20000-2-200220000000000-220000000000000000
χ2722222222-2-2-2-2-222-2222-2-2-2-2222-2-2000000000000000000-2020000000000000
χ2822222222-2-2-2-2-222-2222-2-2-2-22-2-22200000000000000000020-20000000000000
χ29222-2-2-22-222-2-20000-2002-20022-22-200000000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ30222-2-2-22-222-2-20000-2002-20022-22-200000000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ31222-2-2-22-222-2-20000-2002-2002-22-2200000000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ32222-2-2-22-222-2-20000-2002-2002-22-2200000000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ33222-2-2-22-2-2-2220000-200-220022-2-2200000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ34222-2-2-22-2-2-2220000-200-220022-2-2200000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ35222-2-2-22-2-2-2220000-200-22002-222-200000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ36222-2-2-22-2-2-2220000-200-22002-222-200000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ372-22-2-22-222-22-2000202-2000-2000002-2002-200i2−i2i2−i2i2−i2i2−i200000000000000i2−i2i2−i2
χ382-22-2-22-222-22-2000202-2000-2000002-2002-200−i2i2−i2i2−i2i2−i2i200000000000000−i2i2−i2i2
χ392-22-2-22-222-22-2000202-2000-200000-2200-2200i2−i2i2−i2i2−i2i2−i200000000000000−i2i2−i2i2
χ402-22-2-22-222-22-2000202-2000-200000-2200-2200−i2i2−i2i2−i2i2−i2i200000000000000i2−i2i2−i2
χ412-22-2-22-22-22-2200020-22000-2000002-200-2200i2−i2i2−i2−i2i2−i2i200000000000000i2−i2−i2i2
χ422-22-2-22-22-22-2200020-22000-2000002-200-2200−i2i2−i2i2i2−i2i2−i200000000000000−i2i2i2−i2
χ432-22-2-22-22-22-2200020-22000-200000-22002-200i2−i2i2−i2−i2i2−i2i200000000000000−i2i2i2−i2
χ442-22-2-22-22-22-2200020-22000-200000-22002-200−i2i2−i2i2i2−i2i2−i200000000000000i2−i2−i2i2
χ45444-4-4-44-444-4-40000400-4400-400000000000000000000000000000000000000
χ46444-4-4-44-4-4-44400004004-400-400000000000000000000000000000000000000
χ4744-4-444-4-40000400000000-4000000004-4000000000000000000000000000000
χ4844-4-444-4-40000400000000-400000000-44000000000000000000000000000000
χ4944-4-444-4-40000-40000000040000000000004i−4i00000000000000000000000000
χ5044-4-444-4-40000-4000000004000000000000−4i4i00000000000000000000000000
χ514-4444-4-4-44-4-440000000000000000000000002-2-222-2-22000000000000000000
χ524-4444-4-4-44-4-44000000000000000000000000-222-2-222-2000000000000000000
χ534-4444-4-4-4-444-40000000000000000000000002-2-22-222-2000000000000000000
χ544-4444-4-4-4-444-4000000000000000000000000-222-22-2-22000000000000000000
χ554-44-4-44-444-44-4000-40-440004000000000000000000000000000000000000000
χ564-44-4-44-44-44-44000-404-40004000000000000000000000000000000000000000
χ574-4-4-44-444000004-4000000000000000000000000000000000002-22-200000000
χ584-4-4-44-444000004-400000000000000000000000000000000000-22-2200000000
χ594-4-4-44-44400000-44000000000000000000000000000000000002-2-2200000000
χ604-4-4-44-44400000-4400000000000000000000000000000000000-222-200000000
χ6188-88-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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