Finite Group Databasebeta

← Group #167277

Character table — Group #167277

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444488888888888888882222444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111
χ5111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ6111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1111111
χ911111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-111-11-111-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-111-11-1-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-1111-1-1
χ1311111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-11-11-1-1111-1-1
χ1411111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-111-1-1-1-111111111-1-1-1-111-1-11-11-11-1-11-1-111
χ1511111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-1-111
χ1611111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-111-111-1-1
χ1722222222222222222-2-2-2-2-22-2002222-200000000000000000000000000-2-2000000
χ1822222222222222222-2-2-2-2-22-200-2-2-2-2-20000000000000000000000000022000000
χ19222222222222-2-2-2-2-2222-2-2-22220000-22200000000000000000000-200-200000000
χ20222222222222-2-2-2-2-2222-2-2-22-2-20000-2-2-200000000000000000000200200000000
χ21222222222222-2-2-2-2-2-2-2-222-2-20000002000000000000000000000002-2000-220000
χ22222222222222-2-2-2-2-2-2-2-222-2-2000000200000000000000000000000-220002-20000
χ2322222222-2-2-2-22222-22-2-2-2-2-222200002-2-200000000000000000000200-200000000
χ2422222222-2-2-2-22222-22-2-2-2-2-22-2-2000022200000000000000000000-200200000000
χ2522222222-2-2-2-22222-2-22222-2-2000000-20000000000000000000000022000-2-20000
χ2622222222-2-2-2-22222-2-22222-2-2000000-200000000000000000000000-2-2000220000
χ2722222222-2-2-2-2-2-2-2-22-222-2-22-20022-2-2200000000000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-22-222-2-22-200-2-2222000000000000000000000000002-2000000
χ29222-22-2-2-222-2-222-2-2-20000020002-22-2000i2i2−i2−i2i2i2−i2−i200000000000000000000i2−i2i2−i2
χ30222-22-2-2-222-2-222-2-2-20000020002-22-2000−i2−i2i2i2−i2−i2i2i200000000000000000000−i2i2−i2i2
χ31222-22-2-2-222-2-222-2-2-2000002000-22-22000i2i2−i2−i2i2i2−i2−i200000000000000000000−i2i2−i2i2
χ32222-22-2-2-222-2-222-2-2-2000002000-22-22000−i2−i2i2i2−i2−i2i2i200000000000000000000i2−i2i2−i2
χ33222-22-2-2-2-2-222-2-222-20000020002-2-22000i2i2−i2−i2−i2−i2i2i200000000000000000000i2−i2−i2i2
χ34222-22-2-2-2-2-222-2-222-20000020002-2-22000−i2−i2i2i2i2i2−i2−i200000000000000000000−i2i2i2−i2
χ35222-22-2-2-2-2-222-2-222-2000002000-222-2000i2i2−i2−i2−i2−i2i2i200000000000000000000−i2i2i2−i2
χ36222-22-2-2-2-2-222-2-222-2000002000-222-2000−i2−i2i2i2i2i2−i2−i200000000000000000000i2−i2−i2i2
χ3722-2-2-222-22-22-20000022-2000-22i−2i000002i−2i2−22−22−22−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ3822-2-2-222-22-22-20000022-2000-22i−2i000002i−2i−22−22−22−22−i2−i2i2i2−i2−i2i2i20000000000000000
χ3922-2-2-222-22-22-20000022-2000-2−2i2i00000−2i2i2−22−22−22−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4022-2-2-222-22-22-20000022-2000-2−2i2i00000−2i2i−22−22−22−22i2i2−i2−i2i2i2−i2−i20000000000000000
χ4122-2-2-222-2-22-22000002-22000-22i−2i00000−2i2i2−22−2−22−22i2i2−i2−i2−i2−i2i2i20000000000000000
χ4222-2-2-222-2-22-22000002-22000-22i−2i00000−2i2i−22−222−22−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ4322-2-2-222-2-22-22000002-22000-2−2i2i000002i−2i2−22−2−22−22−i2−i2i2i2i2i2−i2−i20000000000000000
χ4422-2-2-222-2-22-22000002-22000-2−2i2i000002i−2i−22−222−22−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ45444-44-4-4-444-4-4-4-444400000-4000000000000000000000000000000000000000000
χ46444-44-4-4-4-4-44444-4-4400000-4000000000000000000000000000000000000000000
χ4744-44-4-4-444-4-440000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ4844-44-4-4-444-4-44000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ4944-44-4-4-44-444-40000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ5044-44-4-4-44-444-4000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ5144-4-4-444-44-44-400000-4-44000400000000000000000000000000000000000000000
χ5244-4-4-444-4-44-4400000-44-4000400000000000000000000000000000000000000000
χ534-444-44-4-400004-44-400000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ544-444-44-4-400004-44-40000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ554-444-44-4-40000-44-4400000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ564-444-44-4-40000-44-440000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ574-44-4-4-44400004-4-440000000000000000000000000000000002-22-2000000000000
χ584-44-4-4-44400004-4-44000000000000000000000000000000000-22-22000000000000
χ594-44-4-4-4440000-444-40000000000000000000000000000000002-2-22000000000000
χ604-44-4-4-4440000-444-4000000000000000000000000000000000-222-2000000000000
χ614-4-4-444-440000000000004-40000000000000000000000022−22−22220000000000000000
χ624-4-4-444-440000000000004-400000000000000000000000−222222−220000000000000000
χ634-4-4-444-44000000000000-44000000000000000000022−22−222200000000000000000000
χ644-4-4-444-44000000000000-440000000000000000000−222222−2200000000000000000000
χ658-8-888-88-8000000000000000000000000000000000000000000000000000000000

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