Finite Group Databasebeta

← Group #169590

Character table — Group #169590

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-11-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1
χ61111111111111111111-1-11-1-11111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-11-1-1-1-1-1-11-11-1-11-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-11-1-1-1-1-1-11-11-1-11-11-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-111-1-1-111-1-1-111-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-111-1-1-111-1-1-111-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-111-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-111-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-11111-1-11-1-11-111-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-11111-1-11-1-11-111-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-1111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-2-200-20022220000-20-2000000000000000
χ18222222222222-2-222-2-2-200-200-2-2-2-20000202000000000000000
χ192222222222-2-222-2-2-2-2-200200000020200-20-200000000000000
χ202222222222-2-222-2-2-2-2-2002000000-20-20020200000000000000
χ212222222222-2-2-2-2-2-222222-2-2-200000-202000000000000000000
χ222222222222-2-2-2-2-2-2222-2-2-2220000020-2000000000000000000
χ2322222222-2-22222-2-2-2-2200-200000020-200-20200000000000000
χ2422222222-2-22222-2-2-2-2200-2000000-2020020-200000000000000
χ2522222222-2-222-2-2-2-222-22222200000-20-2000000000000000000
χ2622222222-2-222-2-2-2-222-2-2-22-2-200000202000000000000000000
χ2722222222-2-2-2-2-2-222-2-220020022-2-2000020-2000000000000000
χ2822222222-2-2-2-2-2-222-2-2200200-2-2220000-202000000000000000
χ2922-2-2-222-22i−2i2i−2i002-2000000002-22i−2i00000000i2−i22−20000i2−i22−200
χ3022-2-2-222-22i−2i2i−2i002-2000000002-22i−2i00000000−i2i2−220000−i2i2−2200
χ3122-2-2-222-22i−2i2i−2i002-200000000-22−2i2i00000000i2−i22−20000−i2i2−2200
χ3222-2-2-222-22i−2i2i−2i002-200000000-22−2i2i00000000−i2i2−220000i2−i22−200
χ3322-2-2-222-2−2i2i−2i2i002-2000000002-2−2i2i00000000i2−i2−220000i2−i2−2200
χ3422-2-2-222-2−2i2i−2i2i002-2000000002-2−2i2i00000000−i2i22−20000−i2i22−200
χ3522-2-2-222-2−2i2i−2i2i002-200000000-222i−2i00000000i2−i2−220000−i2i22−200
χ3622-2-2-222-2−2i2i−2i2i002-200000000-222i−2i00000000−i2i22−20000i2−i2−2200
χ3744-444-4-4-400004-40000000000000000000000000022−2200000000
χ3844-444-4-4-400004-400000000000000000000000000−222200000000
χ3944-444-4-4-40000-44000000000000000000000000000022−22000000
χ4044-444-4-4-40000-440000000000000000000000000000−2222000000
χ4144-4-4-444-44i−4i−4i4i00-440000000000000000000000000000000000
χ4244-4-4-444-4−4i4i4i−4i00-440000000000000000000000000000000000
χ434-4-4-44-444000000004-400004-400000000000000000000000000
χ444-4-4-44-444000000004-40000-4400000000000000000000000000
χ454-4-4-44-44400000000-4404-400000000000000000000000000000
χ464-4-4-44-44400000000-440-4400000000000000000000000000000
χ47888-8-8-8-88000000000000000000000000000000000000000000
χ488-888-8-88-8000000000000000000000000000000000000000000
χ498-88-888-8-8000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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