Finite Group Databasebeta

← Group #171909

Character table — Group #171909

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-111-1-1-1-111-1-111111111-1-11-11-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-11-11-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1
χ911111111-1-1-1-11-1-111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11-1-111-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-11-11-1-11-1-11111-1-1-1-111
χ1211111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1111-1-1-1-11111-1-1
χ1311111111-1-1-1-11-1-111-1-1-1-1111-1-111-1-111-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-1-111
χ1411111111-1-1-1-11-1-111-1-1-1-1111-1-111-1-111-1-111-1-1-1-11111-11-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-11-1-111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1111-1-111-1-111-1-1-1-111
χ17222222222222222-2-2-2-2-2-22-2-200220000-2-200000000000020-20000000000000
χ18222222222222222-2-2-2-2-2-22-2-200-2-2000022000000000000-2020000000000000
χ19222222222222-2-2-22-222-2-2-22-200002200002200000000000-20-2000000000000
χ20222222222222-2-2-22-222-2-2-22-20000-2-20000-2-200000000000202000000000000
χ21222222222222-2-2-2-22-2-222-2-2222000022000000000000-2-20000000000000000
χ22222222222222-2-2-2-22-2-222-2-22-2-20000-2-2000000000000220000000000000000
χ2322222222-2-2-2-22-2-2-2-222222-2-20022000022000000000000-20-20000000000000
χ2422222222-2-2-2-22-2-2-2-222222-2-200-2-20000-2-20000000000002020000000000000
χ2522222222-2-2-2-2-2222-2-2-222-22-20000220000-2-200000000000-202000000000000
χ2622222222-2-2-2-2-2222-2-2-222-22-20000-2-20000220000000000020-2000000000000
χ2722222222-2-2-2-2-222-2222-2-2-2-22220000-2-2000000000000-220000000000000000
χ2822222222-2-2-2-2-222-2222-2-2-2-22-2-20000220000000000002-20000000000000000
χ29222-2-22-2-222-2-20000-2002-20022i−2i00002i−2i0000i2i2−i2−i2i2i2−i2−i200000000002−22−20000
χ30222-2-22-2-222-2-20000-2002-20022i−2i00002i−2i0000−i2−i2i2i2−i2−i2i2i20000000000−22−220000
χ31222-2-22-2-222-2-20000-2002-2002−2i2i0000−2i2i0000i2i2−i2−i2i2i2−i2−i20000000000−22−220000
χ32222-2-22-2-222-2-20000-2002-2002−2i2i0000−2i2i0000−i2−i2i2i2−i2−i2i2i200000000002−22−20000
χ33222-2-22-2-2-2-2220000-200-220022i−2i0000−2i2i0000i2i2−i2−i2−i2−i2i2i200000000002−2−220000
χ34222-2-22-2-2-2-2220000-200-220022i−2i0000−2i2i0000−i2−i2i2i2i2i2−i2−i20000000000−222−20000
χ35222-2-22-2-2-2-2220000-200-22002−2i2i00002i−2i0000i2i2−i2−i2−i2−i2i2i20000000000−222−20000
χ36222-2-22-2-2-2-2220000-200-22002−2i2i00002i−2i0000−i2−i2i2i2i2i2−i2−i200000000002−2−220000
χ3722-22-2-22-22-22-2000-202-20002000002i−2i00002i−2i2−22−22−22−200000000000000i2−i2i2−i2
χ3822-22-2-22-22-22-2000-202-20002000002i−2i00002i−2i−22−22−22−2200000000000000−i2i2−i2i2
χ3922-22-2-22-22-22-2000-202-2000200000−2i2i0000−2i2i2−22−22−22−200000000000000−i2i2−i2i2
χ4022-22-2-22-22-22-2000-202-2000200000−2i2i0000−2i2i−22−22−22−2200000000000000i2−i2i2−i2
χ4122-22-2-22-2-22-22000-20-220002000002i−2i0000−2i2i2−22−2−22−2200000000000000i2−i2−i2i2
χ4222-22-2-22-2-22-22000-20-220002000002i−2i0000−2i2i−22−222−22−200000000000000−i2i2i2−i2
χ4322-22-2-22-2-22-22000-20-22000200000−2i2i00002i−2i2−22−2−22−2200000000000000−i2i2i2−i2
χ4422-22-2-22-2-22-22000-20-22000200000−2i2i00002i−2i−22−222−22−200000000000000i2−i2−i2i2
χ45444-4-44-4-444-4-40000400-4400-400000000000000000000000000000000000000
χ46444-4-44-4-4-4-44400004004-400-400000000000000000000000000000000000000
χ4744-44-4-44-44-44-400040-44000-4000000000000000000000000000000000000000
χ4844-44-4-44-4-44-44000404-4000-4000000000000000000000000000000000000000
χ4944-4-44-4-444-4-440000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ5044-4-44-4-444-4-44000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ5144-4-44-4-44-444-40000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ5244-4-44-4-44-444-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ534-4444-4-4-40000400000000-400004-40000000000000000000000000000000000
χ544-4444-4-4-40000400000000-40000-440000000000000000000000000000000000
χ554-4444-4-4-40000-400000000400000000004i−4i0000000000000000000000000000
χ564-4444-4-4-40000-40000000040000000000−4i4i0000000000000000000000000000
χ574-4-4-4444-4000004-4000000000000000000000000000000000002i−2i2i−2i00000000
χ584-4-4-4444-4000004-400000000000000000000000000000000000−2i2i−2i2i00000000
χ594-4-4-4444-400000-44000000000000000000000000000000000002i−2i−2i2i00000000
χ604-4-4-4444-400000-4400000000000000000000000000000000000−2i2i2i−2i00000000
χ618-88-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-88-88-88000000000000000000000000000000000000000000000000000000

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