Finite Group Databasebeta

← Group #326693

Character table — Group #326693

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222222222222244444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ91111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-11-11-11-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-11-11-11-1111-1-1-1-111-1-111
χ111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-11-11-11-1-1-111-1-111-1-111
χ121111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-11-11-11-11-1-11111-1-111-1-1
χ131111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11-1-111-1-11-1-11111-1-1-1-111
χ141111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-111-1-111-1-1-111-1-11111-1-1
χ151111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1
χ161111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1-111-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-222-2-222-2-2-2-2000000000000000000000000
χ18222222222222222222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-22222000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ2122222222-2-22222-2-2-2-222-2-2000000002-20000002200-2-2000000000000
χ2222222222-2-22222-2-2-2-222-2-2000000002-2000000-2-20022000000000000
χ2322222222-2-22222-2-2-2-2-2-22200000000-2200002200-2-200000000000000
χ2422222222-2-22222-2-2-2-2-2-22200000000-220000-2-2002200000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200000000-220000002-200-22000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-200000000-22000000-22002-2000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-222000000002-200002-200-2200000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-222000000002-20000-22002-200000000000000
χ2922-222-2-2-2-2-222-2-2222-20000002-2002-2000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3022-222-2-2-2-2-222-2-2222-20000002-2002-2000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3122-222-2-2-2-2-222-2-2222-2000000-2200-22000000000000000000i2−i2i2−i2−i2i2−i2i2
χ3222-222-2-2-2-2-222-2-2222-2000000-2200-22000000000000000000−i2i2−i2i2i2−i2i2−i2
χ3322-222-2-2-2-2-2-2-22222-220000002-200-22000000000000000000i2−i2−i2i2i2−i2−i2i2
χ3422-222-2-2-2-2-2-2-22222-220000002-200-22000000000000000000−i2i2i2−i2−i2i2i2−i2
χ3522-222-2-2-2-2-2-2-22222-22000000-22002-2000000000000000000i2−i2−i2i2−i2i2i2−i2
χ3622-222-2-2-2-2-2-2-22222-22000000-22002-2000000000000000000−i2i2i2−i2i2−i2−i2i2
χ37444-4-44-4-44-400004-400000000004-40000000000000000000000000000
χ38444-4-44-4-44-400004-40000000000-440000000000000000000000000000
χ39444-4-44-4-4-440000-440000004-400000000000000000000000000000000
χ40444-4-44-4-4-440000-44000000-4400000000000000000000000000000000
χ4144-444-4-4-44444-4-4-4-4-4400000000000000000000000000000000000000
χ4244-444-4-4-444-4-444-4-44-400000000000000000000000000000000000000
χ4344-4-4-4-4444-40000-44004-44-40000000000000000000000000000000000
χ4444-4-4-4-4444-40000-4400-44-440000000000000000000000000000000000
χ4544-4-4-4-444-4400004-4004-4-440000000000000000000000000000000000
χ4644-4-4-4-444-4400004-400-444-40000000000000000000000000000000000
χ474-444-4-44-4004-44-40000000000000000000000000000002i−2i2i−2i00000000
χ484-444-4-44-4004-44-4000000000000000000000000000000−2i2i−2i2i00000000
χ494-444-4-44-400-44-440000000000000000000000000000002i−2i−2i2i00000000
χ504-444-4-44-400-44-44000000000000000000000000000000−2i2i2i−2i00000000
χ514-4-44-44-44004-4-440000000000000000002-22-200000000000000000000
χ524-4-44-44-44004-4-44000000000000000000-22-2200000000000000000000
χ534-4-44-44-4400-444-40000000000000000002-2-2200000000000000000000
χ544-4-44-44-4400-444-4000000000000000000-222-200000000000000000000
χ558-88-88-8-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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