Finite Group Databasebeta

← Group #326686

Character table — Group #326686

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222222222222244444444444444222244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1
χ91111111111-1-1-1-111-1-111111111-1-1-1-1-1-11-11-1111-11-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-111111111-1-1-1-1-1-11-11-1-1-11-11-111-1-111-1-111-1-111
χ111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-11-1111-11-11-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-11-11-1-1-11-1111-1-11111-1-111-1-1
χ131111111111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11111-1-11-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11-1-11-1-111111-1-1-1-11111-1-1
χ151111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-111-111-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-1-1-111-11111-1-111-1-1-1-111
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
χ2122222222-2-22222-2-2-2-222-2-2000000002-200220000-2-200000000000000
χ2222222222-2-22222-2-2-2-222-2-2000000002-200-2-200002200000000000000
χ2322222222-2-22222-2-2-2-2-2-22200000000-22220000-2-20000000000000000
χ2422222222-2-22222-2-2-2-2-2-22200000000-22-2-20000220000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200000000-22002-20000-2200000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-200000000-2200-2200002-200000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-222000000002-22-20000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-222000000002-2-2200002-20000000000000000
χ2922-22-2-22-22222-2-2-2-22-20000002-2002-2000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3022-22-2-22-22222-2-2-2-22-20000002-2002-2000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3122-22-2-22-22222-2-2-2-22-2000000-2200-22000000000000000000i2−i2i2−i2−i2i2−i2i2
χ3222-22-2-22-22222-2-2-2-22-2000000-2200-22000000000000000000−i2i2−i2i2i2−i2i2−i2
χ3322-22-2-22-222-2-222-2-2-220000002-200-22000000000000000000i2−i2−i2i2i2−i2−i2i2
χ3422-22-2-22-222-2-222-2-2-220000002-200-22000000000000000000−i2i2i2−i2−i2i2i2−i2
χ3522-22-2-22-222-2-222-2-2-22000000-22002-2000000000000000000i2−i2−i2i2−i2i2i2−i2
χ3622-22-2-22-222-2-222-2-2-22000000-22002-2000000000000000000−i2i2i2−i2i2−i2−i2i2
χ3744-44-4-44-4-4-444-4-444-4400000000000000000000000000000000000000
χ3844-44-4-44-4-4-4-4-444444-400000000000000000000000000000000000000
χ394-4444-4-4-4004-44-40000000000000000000000000000002i−2i2i−2i00000000
χ404-4444-4-4-4004-44-4000000000000000000000000000000−2i2i−2i2i00000000
χ414-4444-4-4-400-44-440000000000000000000000000000002i−2i−2i2i00000000
χ424-4444-4-4-400-44-44000000000000000000000000000000−2i2i2i−2i00000000
χ434-44-4-4-4444-400004-4004-44-40000000000000000000000000000000000
χ444-44-4-4-4444-400004-400-44-440000000000000000000000000000000000
χ454-44-4-4-444-440000-44004-4-440000000000000000000000000000000000
χ464-44-4-4-444-440000-4400-444-40000000000000000000000000000000000
χ474-4-44-44-44004-4-4400000000000000000000002-200002-2000000000000
χ484-4-44-44-44004-4-440000000000000000000000-220000-22000000000000
χ494-4-44-44-4400-444-400000000000000000000002-20000-22000000000000
χ504-4-44-44-4400-444-40000000000000000000000-2200002-2000000000000
χ514-4-4-4444-44-40000-4400000000004-40000000000000000000000000000
χ524-4-4-4444-44-40000-440000000000-440000000000000000000000000000
χ534-4-4-4444-4-4400004-40000004-400000000000000000000000000000000
χ544-4-4-4444-4-4400004-4000000-4400000000000000000000000000000000
χ55888-8-88-8-8000000000000000000000000000000000000000000000000
χ5688-8-88-8-88000000000000000000000000000000000000000000000000

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