Finite Group Databasebeta

← Group #169596

Character table — Group #169596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-11-1-1-1-1-11-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1111-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-11-1-1-1-1-1111-1-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-11111-1-1-1-1-1-111-1-111-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-11111-1-1-1-1-1-111-1-111-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-111-1-1-1-1-111-1-1-111-11111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-111-1-1-1-1-111-1-1-111-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-111-111-1-11-1-11-11-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-111-111-1-11-1-11-11-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-11111111-11-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-11111111-11-1-1-1-1-11111-1-111-1-1-11
χ1722222222222222-2-2-2-2-20022-200220000-2-20000000000000000
χ1822222222222222-2-2-2-2-200-2-2-200-2-20000220000000000000000
χ192222222222-2-2-2-222-2-220000-2000002-22000-200000000000000
χ202222222222-2-2-2-222-2-220000-200000-22-2000200000000000000
χ212222222222-2-2-2-2-2-222-222002-2-200200000-2000000000000000
χ222222222222-2-2-2-2-2-222-2-2-20022200-2000002000000000000000
χ2322222222-2-222-2-222-2-2-200002000002-2-2000200000000000000
χ2422222222-2-222-2-222-2-2-20000200000-222000-200000000000000
χ2522222222-2-222-2-2-2-22222200-22200-200000-2000000000000000
χ2622222222-2-222-2-2-2-2222-2-200-2-2-2002000002000000000000000
χ2722222222-2-2-2-222-2-2-2-220022200-2-200002-20000000000000000
χ2822222222-2-2-2-222-2-2-2-2200-2-2200220000-220000000000000000
χ2922-2-22-22-22i−2i2i−2i2-200000002i−2i0002-2000000002−2i2−i20000i2−i22−200
χ3022-2-22-22-22i−2i2i−2i2-200000002i−2i0002-200000000−22−i2i20000−i2i2−2200
χ3122-2-22-22-22i−2i2i−2i2-20000000−2i2i000-22000000002−2i2−i20000−i2i2−2200
χ3222-2-22-22-22i−2i2i−2i2-20000000−2i2i000-2200000000−22−i2i20000i2−i22−200
χ3322-2-22-22-2−2i2i−2i2i2-200000002i−2i000-22000000002−2−i2i20000i2−i2−2200
χ3422-2-22-22-2−2i2i−2i2i2-200000002i−2i000-2200000000−22i2−i20000−i2i22−200
χ3522-2-22-22-2−2i2i−2i2i2-20000000−2i2i0002-2000000002−2−i2i20000−i2i22−200
χ3622-2-22-22-2−2i2i−2i2i2-20000000−2i2i0002-200000000−22i2−i20000i2−i2−2200
χ37444-4-4-4-44000000004-40000004i−4i000000000000000000000000
χ38444-4-4-4-44000000004-4000000−4i4i000000000000000000000000
χ39444-4-4-4-4400000000-4404i−4i00000000000000000000000000000
χ40444-4-4-4-4400000000-440−4i4i00000000000000000000000000000
χ4144-4-44-44-44i−4i−4i4i-44000000000000000000000000000000000000
χ4244-4-44-44-4−4i4i4i−4i-44000000000000000000000000000000000000
χ434-44-4-444-40000004-40000000000000000000000002i2−2i200000000
χ444-44-4-444-40000004-4000000000000000000000000−2i22i200000000
χ454-44-4-444-4000000-44000000000000000000000000002i2−2i2000000
χ464-44-4-444-4000000-4400000000000000000000000000−2i22i2000000
χ4788-88-88-8-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-8-88-8-888000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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